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Identifier
Mp00109: Permutations —descent word⟶ Binary words
Mp00262: Binary words —poset of factors⟶ Posets
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=>
Cc0014;cc-rep-2
[1,2]=>0=>([(0,1)],2) [2,1]=>1=>([(0,1)],2) [1,2,3]=>00=>([(0,2),(2,1)],3) [1,3,2]=>01=>([(0,1),(0,2),(1,3),(2,3)],4) [2,1,3]=>10=>([(0,1),(0,2),(1,3),(2,3)],4) [2,3,1]=>01=>([(0,1),(0,2),(1,3),(2,3)],4) [3,1,2]=>10=>([(0,1),(0,2),(1,3),(2,3)],4) [3,2,1]=>11=>([(0,2),(2,1)],3) [1,2,3,4]=>000=>([(0,3),(2,1),(3,2)],4) [1,2,4,3]=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [1,3,2,4]=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [1,3,4,2]=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [1,4,2,3]=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [1,4,3,2]=>011=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [2,1,3,4]=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [2,1,4,3]=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [2,3,1,4]=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [2,3,4,1]=>001=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [2,4,1,3]=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [2,4,3,1]=>011=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [3,1,2,4]=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [3,1,4,2]=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [3,2,1,4]=>110=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [3,2,4,1]=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [3,4,1,2]=>010=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [3,4,2,1]=>011=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [4,1,2,3]=>100=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [4,1,3,2]=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [4,2,1,3]=>110=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [4,2,3,1]=>101=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) [4,3,1,2]=>110=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) [4,3,2,1]=>111=>([(0,3),(2,1),(3,2)],4) [1,2,3,4,5]=>0000=>([(0,4),(2,3),(3,1),(4,2)],5) [1,2,3,5,4]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [1,2,4,3,5]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,2,4,5,3]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [1,2,5,3,4]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,2,5,4,3]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [1,3,2,4,5]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,3,2,5,4]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,3,4,2,5]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,3,4,5,2]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [1,3,5,2,4]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,3,5,4,2]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [1,4,2,3,5]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,4,2,5,3]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,4,3,2,5]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [1,4,3,5,2]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,4,5,2,3]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,4,5,3,2]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [1,5,2,3,4]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [1,5,2,4,3]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,5,3,2,4]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [1,5,3,4,2]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [1,5,4,2,3]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [1,5,4,3,2]=>0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [2,1,3,4,5]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [2,1,3,5,4]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [2,1,4,3,5]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,1,4,5,3]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [2,1,5,3,4]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,1,5,4,3]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,3,1,4,5]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,3,1,5,4]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,3,4,1,5]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,3,4,5,1]=>0001=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [2,3,5,1,4]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,3,5,4,1]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [2,4,1,3,5]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,4,1,5,3]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,4,3,1,5]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [2,4,3,5,1]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,4,5,1,3]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,4,5,3,1]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [2,5,1,3,4]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [2,5,1,4,3]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,5,3,1,4]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [2,5,3,4,1]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [2,5,4,1,3]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [2,5,4,3,1]=>0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [3,1,2,4,5]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [3,1,2,5,4]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [3,1,4,2,5]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,1,4,5,2]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [3,1,5,2,4]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,1,5,4,2]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [3,2,1,4,5]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [3,2,1,5,4]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [3,2,4,1,5]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,2,4,5,1]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [3,2,5,1,4]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,2,5,4,1]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [3,4,1,2,5]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [3,4,1,5,2]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,4,2,1,5]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [3,4,2,5,1]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,4,5,1,2]=>0010=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [3,4,5,2,1]=>0011=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [3,5,1,2,4]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [3,5,1,4,2]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,5,2,1,4]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [3,5,2,4,1]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [3,5,4,1,2]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [3,5,4,2,1]=>0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [4,1,2,3,5]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [4,1,2,5,3]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [4,1,3,2,5]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,1,3,5,2]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [4,1,5,2,3]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,1,5,3,2]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,2,1,3,5]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [4,2,1,5,3]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,2,3,1,5]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,2,3,5,1]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [4,2,5,1,3]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,2,5,3,1]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,3,1,2,5]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [4,3,1,5,2]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,3,2,1,5]=>1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [4,3,2,5,1]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,3,5,1,2]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,3,5,2,1]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,5,1,2,3]=>0100=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [4,5,1,3,2]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,5,2,1,3]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [4,5,2,3,1]=>0101=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [4,5,3,1,2]=>0110=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [4,5,3,2,1]=>0111=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [5,1,2,3,4]=>1000=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [5,1,2,4,3]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [5,1,3,2,4]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [5,1,3,4,2]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [5,1,4,2,3]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [5,1,4,3,2]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,2,1,3,4]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [5,2,1,4,3]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,2,3,1,4]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [5,2,3,4,1]=>1001=>([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) [5,2,4,1,3]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [5,2,4,3,1]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,3,1,2,4]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [5,3,1,4,2]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,3,2,1,4]=>1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [5,3,2,4,1]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,3,4,1,2]=>1010=>([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) [5,3,4,2,1]=>1011=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,4,1,2,3]=>1100=>([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) [5,4,1,3,2]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,4,2,1,3]=>1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [5,4,2,3,1]=>1101=>([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) [5,4,3,1,2]=>1110=>([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) [5,4,3,2,1]=>1111=>([(0,4),(2,3),(3,1),(4,2)],5) [1,2,3,4,5,6]=>00000=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,2,3,4,6,5]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [1,2,3,5,4,6]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,2,3,5,6,4]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [1,2,3,6,4,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,2,3,6,5,4]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,2,4,3,5,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,2,4,3,6,5]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,2,4,5,3,6]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,2,4,5,6,3]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [1,2,4,6,3,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,2,4,6,5,3]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,2,5,3,4,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,2,5,3,6,4]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,2,5,4,3,6]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,2,5,4,6,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,2,5,6,3,4]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,2,5,6,4,3]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,2,6,3,4,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,2,6,3,5,4]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,2,6,4,3,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,2,6,4,5,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,2,6,5,3,4]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,2,6,5,4,3]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,3,2,4,5,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,3,2,4,6,5]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,3,2,5,4,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,3,2,5,6,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,3,2,6,4,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,3,2,6,5,4]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,3,4,2,5,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,3,4,2,6,5]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,3,4,5,2,6]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,3,4,5,6,2]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [1,3,4,6,2,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,3,4,6,5,2]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,3,5,2,4,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,3,5,2,6,4]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,3,5,4,2,6]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,3,5,4,6,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,3,5,6,2,4]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,3,5,6,4,2]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,3,6,2,4,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,3,6,2,5,4]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,3,6,4,2,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,3,6,4,5,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,3,6,5,2,4]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,3,6,5,4,2]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,4,2,3,5,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,4,2,3,6,5]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,4,2,5,3,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,4,2,5,6,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,4,2,6,3,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,4,2,6,5,3]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,4,3,2,5,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,4,3,2,6,5]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,4,3,5,2,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,4,3,5,6,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,4,3,6,2,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,4,3,6,5,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,4,5,2,3,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,4,5,2,6,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,4,5,3,2,6]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,4,5,3,6,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,4,5,6,2,3]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,4,5,6,3,2]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,4,6,2,3,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,4,6,2,5,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,4,6,3,2,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,4,6,3,5,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,4,6,5,2,3]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,4,6,5,3,2]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,5,2,3,4,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,5,2,3,6,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,5,2,4,3,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,5,2,4,6,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,5,2,6,3,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,5,2,6,4,3]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,5,3,2,4,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,5,3,2,6,4]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,5,3,4,2,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,5,3,4,6,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,5,3,6,2,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,5,3,6,4,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,5,4,2,3,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,5,4,2,6,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,5,4,3,2,6]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [1,5,4,3,6,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,5,4,6,2,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,5,4,6,3,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,5,6,2,3,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [1,5,6,2,4,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,5,6,3,2,4]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,5,6,3,4,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,5,6,4,2,3]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,5,6,4,3,2]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [1,6,2,3,4,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [1,6,2,3,5,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,2,4,3,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,6,2,4,5,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,2,5,3,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,6,2,5,4,3]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,6,3,2,4,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,6,3,2,5,4]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,3,4,2,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,6,3,4,5,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,3,5,2,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,6,3,5,4,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,6,4,2,3,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,6,4,2,5,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,4,3,2,5]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [1,6,4,3,5,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,4,5,2,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [1,6,4,5,3,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [1,6,5,2,3,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [1,6,5,2,4,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,5,3,2,4]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [1,6,5,3,4,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [1,6,5,4,2,3]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [1,6,5,4,3,2]=>01111=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [2,1,3,4,5,6]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [2,1,3,4,6,5]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,1,3,5,4,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,3,5,6,4]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,1,3,6,4,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,3,6,5,4]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,1,4,3,5,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,1,4,3,6,5]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,1,4,5,3,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,4,5,6,3]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,1,4,6,3,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,4,6,5,3]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,1,5,3,4,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,1,5,3,6,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,1,5,4,3,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,5,4,6,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,1,5,6,3,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,5,6,4,3]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,1,6,3,4,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,1,6,3,5,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,1,6,4,3,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,6,4,5,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,1,6,5,3,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,1,6,5,4,3]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,3,1,4,5,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,3,1,4,6,5]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,3,1,5,4,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,3,1,5,6,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,3,1,6,4,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,3,1,6,5,4]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,3,4,1,5,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [2,3,4,1,6,5]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,3,4,5,1,6]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,3,4,5,6,1]=>00001=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [2,3,4,6,1,5]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,3,4,6,5,1]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [2,3,5,1,4,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [2,3,5,1,6,4]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,3,5,4,1,6]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,3,5,4,6,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,3,5,6,1,4]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,3,5,6,4,1]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [2,3,6,1,4,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [2,3,6,1,5,4]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,3,6,4,1,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,3,6,4,5,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,3,6,5,1,4]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,3,6,5,4,1]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [2,4,1,3,5,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,4,1,3,6,5]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,4,1,5,3,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,4,1,5,6,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,4,1,6,3,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,4,1,6,5,3]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,4,3,1,5,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,4,3,1,6,5]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,4,3,5,1,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,4,3,5,6,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,4,3,6,1,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,4,3,6,5,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,4,5,1,3,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [2,4,5,1,6,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,4,5,3,1,6]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,4,5,3,6,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,4,5,6,1,3]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,4,5,6,3,1]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [2,4,6,1,3,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [2,4,6,1,5,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,4,6,3,1,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,4,6,3,5,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,4,6,5,1,3]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,4,6,5,3,1]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [2,5,1,3,4,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,5,1,3,6,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,5,1,4,3,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,5,1,4,6,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,5,1,6,3,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,5,1,6,4,3]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,5,3,1,4,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,5,3,1,6,4]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,5,3,4,1,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,5,3,4,6,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,5,3,6,1,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,5,3,6,4,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,5,4,1,3,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,5,4,1,6,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,5,4,3,1,6]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,5,4,3,6,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,5,4,6,1,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,5,4,6,3,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,5,6,1,3,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [2,5,6,1,4,3]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,5,6,3,1,4]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,5,6,3,4,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,5,6,4,1,3]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,5,6,4,3,1]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [2,6,1,3,4,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [2,6,1,3,5,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,1,4,3,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,6,1,4,5,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,1,5,3,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,6,1,5,4,3]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,6,3,1,4,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,6,3,1,5,4]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,3,4,1,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,6,3,4,5,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,3,5,1,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,6,3,5,4,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,6,4,1,3,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,6,4,1,5,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,4,3,1,5]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,6,4,3,5,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,4,5,1,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [2,6,4,5,3,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [2,6,5,1,3,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [2,6,5,1,4,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,5,3,1,4]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,6,5,3,4,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [2,6,5,4,1,3]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [2,6,5,4,3,1]=>01111=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [3,1,2,4,5,6]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [3,1,2,4,6,5]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,1,2,5,4,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,2,5,6,4]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,1,2,6,4,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,2,6,5,4]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,1,4,2,5,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,1,4,2,6,5]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,1,4,5,2,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,4,5,6,2]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,1,4,6,2,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,4,6,5,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,1,5,2,4,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,1,5,2,6,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,1,5,4,2,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,5,4,6,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,1,5,6,2,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,5,6,4,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,1,6,2,4,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,1,6,2,5,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,1,6,4,2,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,6,4,5,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,1,6,5,2,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,1,6,5,4,2]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [3,2,1,4,5,6]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [3,2,1,4,6,5]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,2,1,5,4,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,2,1,5,6,4]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,2,1,6,4,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,2,1,6,5,4]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [3,2,4,1,5,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,2,4,1,6,5]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,2,4,5,1,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,2,4,5,6,1]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,2,4,6,1,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,2,4,6,5,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,2,5,1,4,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,2,5,1,6,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,2,5,4,1,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,2,5,4,6,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,2,5,6,1,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,2,5,6,4,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,2,6,1,4,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,2,6,1,5,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,2,6,4,1,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,2,6,4,5,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,2,6,5,1,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,2,6,5,4,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [3,4,1,2,5,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [3,4,1,2,6,5]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,4,1,5,2,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,4,1,5,6,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,4,1,6,2,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,4,1,6,5,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,4,2,1,5,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,4,2,1,6,5]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,4,2,5,1,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,4,2,5,6,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,4,2,6,1,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,4,2,6,5,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,4,5,1,2,6]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [3,4,5,1,6,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,4,5,2,1,6]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,4,5,2,6,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,4,5,6,1,2]=>00010=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [3,4,5,6,2,1]=>00011=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [3,4,6,1,2,5]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [3,4,6,1,5,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,4,6,2,1,5]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,4,6,2,5,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,4,6,5,1,2]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,4,6,5,2,1]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [3,5,1,2,4,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [3,5,1,2,6,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,5,1,4,2,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,5,1,4,6,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,5,1,6,2,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,5,1,6,4,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,5,2,1,4,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,5,2,1,6,4]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,5,2,4,1,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,5,2,4,6,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,5,2,6,1,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,5,2,6,4,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,5,4,1,2,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,5,4,1,6,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,5,4,2,1,6]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,5,4,2,6,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,5,4,6,1,2]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,5,4,6,2,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,5,6,1,2,4]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [3,5,6,1,4,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,5,6,2,1,4]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,5,6,2,4,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,5,6,4,1,2]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,5,6,4,2,1]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [3,6,1,2,4,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [3,6,1,2,5,4]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,1,4,2,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,6,1,4,5,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,1,5,2,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,6,1,5,4,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,6,2,1,4,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,6,2,1,5,4]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,2,4,1,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,6,2,4,5,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,2,5,1,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,6,2,5,4,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,6,4,1,2,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,6,4,1,5,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,4,2,1,5]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,6,4,2,5,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,4,5,1,2]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [3,6,4,5,2,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [3,6,5,1,2,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [3,6,5,1,4,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,5,2,1,4]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,6,5,2,4,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [3,6,5,4,1,2]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [3,6,5,4,2,1]=>01111=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [4,1,2,3,5,6]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [4,1,2,3,6,5]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,1,2,5,3,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,2,5,6,3]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,1,2,6,3,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,2,6,5,3]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,1,3,2,5,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,1,3,2,6,5]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,1,3,5,2,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,3,5,6,2]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,1,3,6,2,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,3,6,5,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,1,5,2,3,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,1,5,2,6,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,1,5,3,2,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,5,3,6,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,1,5,6,2,3]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,5,6,3,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,1,6,2,3,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,1,6,2,5,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,1,6,3,2,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,6,3,5,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,1,6,5,2,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,1,6,5,3,2]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [4,2,1,3,5,6]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [4,2,1,3,6,5]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,2,1,5,3,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,2,1,5,6,3]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,2,1,6,3,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,2,1,6,5,3]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [4,2,3,1,5,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,2,3,1,6,5]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,2,3,5,1,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,2,3,5,6,1]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,2,3,6,1,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,2,3,6,5,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,2,5,1,3,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,2,5,1,6,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,2,5,3,1,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,2,5,3,6,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,2,5,6,1,3]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,2,5,6,3,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,2,6,1,3,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,2,6,1,5,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,2,6,3,1,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,2,6,3,5,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,2,6,5,1,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,2,6,5,3,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [4,3,1,2,5,6]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [4,3,1,2,6,5]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,3,1,5,2,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,3,1,5,6,2]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,3,1,6,2,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,3,1,6,5,2]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [4,3,2,1,5,6]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [4,3,2,1,6,5]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [4,3,2,5,1,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,3,2,5,6,1]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,3,2,6,1,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,3,2,6,5,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [4,3,5,1,2,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,3,5,1,6,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,3,5,2,1,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,3,5,2,6,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,3,5,6,1,2]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,3,5,6,2,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,3,6,1,2,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,3,6,1,5,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,3,6,2,1,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,3,6,2,5,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,3,6,5,1,2]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,3,6,5,2,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [4,5,1,2,3,6]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [4,5,1,2,6,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,5,1,3,2,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,5,1,3,6,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,5,1,6,2,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,5,1,6,3,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,5,2,1,3,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,5,2,1,6,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,5,2,3,1,6]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,5,2,3,6,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,5,2,6,1,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,5,2,6,3,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,5,3,1,2,6]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,5,3,1,6,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,5,3,2,1,6]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,5,3,2,6,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,5,3,6,1,2]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,5,3,6,2,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,5,6,1,2,3]=>00100=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [4,5,6,1,3,2]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,5,6,2,1,3]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,5,6,2,3,1]=>00101=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,5,6,3,1,2]=>00110=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,5,6,3,2,1]=>00111=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [4,6,1,2,3,5]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [4,6,1,2,5,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,1,3,2,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,6,1,3,5,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,1,5,2,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,6,1,5,3,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,6,2,1,3,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,6,2,1,5,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,2,3,1,5]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,6,2,3,5,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,2,5,1,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,6,2,5,3,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,6,3,1,2,5]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,6,3,1,5,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,3,2,1,5]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,6,3,2,5,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,3,5,1,2]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [4,6,3,5,2,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [4,6,5,1,2,3]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [4,6,5,1,3,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,5,2,1,3]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,6,5,2,3,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [4,6,5,3,1,2]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [4,6,5,3,2,1]=>01111=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [5,1,2,3,4,6]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [5,1,2,3,6,4]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,1,2,4,3,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,2,4,6,3]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,1,2,6,3,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,2,6,4,3]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,1,3,2,4,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,1,3,2,6,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,1,3,4,2,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,3,4,6,2]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,1,3,6,2,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,3,6,4,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,1,4,2,3,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,1,4,2,6,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,1,4,3,2,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,4,3,6,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,1,4,6,2,3]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,4,6,3,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,1,6,2,3,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,1,6,2,4,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,1,6,3,2,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,6,3,4,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,1,6,4,2,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,1,6,4,3,2]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,2,1,3,4,6]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [5,2,1,3,6,4]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,2,1,4,3,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,2,1,4,6,3]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,2,1,6,3,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,2,1,6,4,3]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [5,2,3,1,4,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,2,3,1,6,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,2,3,4,1,6]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,2,3,4,6,1]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,2,3,6,1,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,2,3,6,4,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,2,4,1,3,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,2,4,1,6,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,2,4,3,1,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,2,4,3,6,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,2,4,6,1,3]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,2,4,6,3,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,2,6,1,3,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,2,6,1,4,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,2,6,3,1,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,2,6,3,4,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,2,6,4,1,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,2,6,4,3,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,3,1,2,4,6]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [5,3,1,2,6,4]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,3,1,4,2,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,3,1,4,6,2]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,3,1,6,2,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,3,1,6,4,2]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [5,3,2,1,4,6]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [5,3,2,1,6,4]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,3,2,4,1,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,3,2,4,6,1]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,3,2,6,1,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,3,2,6,4,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [5,3,4,1,2,6]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,3,4,1,6,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,3,4,2,1,6]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,3,4,2,6,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,3,4,6,1,2]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,3,4,6,2,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,3,6,1,2,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,3,6,1,4,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,3,6,2,1,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,3,6,2,4,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,3,6,4,1,2]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,3,6,4,2,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,4,1,2,3,6]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [5,4,1,2,6,3]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,4,1,3,2,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,4,1,3,6,2]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,4,1,6,2,3]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,4,1,6,3,2]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [5,4,2,1,3,6]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [5,4,2,1,6,3]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,4,2,3,1,6]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,4,2,3,6,1]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,4,2,6,1,3]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,4,2,6,3,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [5,4,3,1,2,6]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [5,4,3,1,6,2]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,4,3,2,1,6]=>11110=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [5,4,3,2,6,1]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,4,3,6,1,2]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,4,3,6,2,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [5,4,6,1,2,3]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,4,6,1,3,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,4,6,2,1,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,4,6,2,3,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,4,6,3,1,2]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,4,6,3,2,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,6,1,2,3,4]=>01000=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [5,6,1,2,4,3]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,1,3,2,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,6,1,3,4,2]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,1,4,2,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,6,1,4,3,2]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,6,2,1,3,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,6,2,1,4,3]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,2,3,1,4]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,6,2,3,4,1]=>01001=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,2,4,1,3]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,6,2,4,3,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,6,3,1,2,4]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,6,3,1,4,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,3,2,1,4]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,6,3,2,4,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,3,4,1,2]=>01010=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [5,6,3,4,2,1]=>01011=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [5,6,4,1,2,3]=>01100=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [5,6,4,1,3,2]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,4,2,1,3]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,6,4,2,3,1]=>01101=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [5,6,4,3,1,2]=>01110=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [5,6,4,3,2,1]=>01111=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [6,1,2,3,4,5]=>10000=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [6,1,2,3,5,4]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [6,1,2,4,3,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,2,4,5,3]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [6,1,2,5,3,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,2,5,4,3]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,1,3,2,4,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,1,3,2,5,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,1,3,4,2,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,3,4,5,2]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [6,1,3,5,2,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,3,5,4,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,1,4,2,3,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,1,4,2,5,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,1,4,3,2,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,4,3,5,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,1,4,5,2,3]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,4,5,3,2]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,1,5,2,3,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,1,5,2,4,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,1,5,3,2,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,5,3,4,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,1,5,4,2,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,1,5,4,3,2]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,2,1,3,4,5]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,2,1,3,5,4]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,2,1,4,3,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,2,1,4,5,3]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,2,1,5,3,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,2,1,5,4,3]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,2,3,1,4,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,2,3,1,5,4]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,2,3,4,1,5]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,2,3,4,5,1]=>10001=>([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) [6,2,3,5,1,4]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,2,3,5,4,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,2,4,1,3,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,2,4,1,5,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,2,4,3,1,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,2,4,3,5,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,2,4,5,1,3]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,2,4,5,3,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,2,5,1,3,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,2,5,1,4,3]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,2,5,3,1,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,2,5,3,4,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,2,5,4,1,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,2,5,4,3,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,3,1,2,4,5]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,3,1,2,5,4]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,3,1,4,2,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,3,1,4,5,2]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,3,1,5,2,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,3,1,5,4,2]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,3,2,1,4,5]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,3,2,1,5,4]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,3,2,4,1,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,3,2,4,5,1]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,3,2,5,1,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,3,2,5,4,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,3,4,1,2,5]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,3,4,1,5,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,3,4,2,1,5]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,3,4,2,5,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,3,4,5,1,2]=>10010=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,3,4,5,2,1]=>10011=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,3,5,1,2,4]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,3,5,1,4,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,3,5,2,1,4]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,3,5,2,4,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,3,5,4,1,2]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,3,5,4,2,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,4,1,2,3,5]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,4,1,2,5,3]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,4,1,3,2,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,4,1,3,5,2]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,4,1,5,2,3]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,4,1,5,3,2]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,4,2,1,3,5]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,4,2,1,5,3]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,4,2,3,1,5]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,4,2,3,5,1]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,4,2,5,1,3]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,4,2,5,3,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,4,3,1,2,5]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,4,3,1,5,2]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,4,3,2,1,5]=>11110=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [6,4,3,2,5,1]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,4,3,5,1,2]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,4,3,5,2,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,4,5,1,2,3]=>10100=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,4,5,1,3,2]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,4,5,2,1,3]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,4,5,2,3,1]=>10101=>([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) [6,4,5,3,1,2]=>10110=>([(0,2),(0,3),(1,5),(1,9),(2,10),(2,11),(3,1),(3,10),(3,11),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,6),(11,6),(11,9)],12) [6,4,5,3,2,1]=>10111=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,5,1,2,3,4]=>11000=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,5,1,2,4,3]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,5,1,3,2,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,5,1,3,4,2]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,5,1,4,2,3]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,5,1,4,3,2]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,5,2,1,3,4]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,5,2,1,4,3]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,5,2,3,1,4]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,5,2,3,4,1]=>11001=>([(0,3),(0,4),(1,9),(2,6),(2,11),(3,2),(3,10),(3,12),(4,1),(4,10),(4,12),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,9),(12,11)],13) [6,5,2,4,1,3]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,5,2,4,3,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,5,3,1,2,4]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,5,3,1,4,2]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,5,3,2,1,4]=>11110=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [6,5,3,2,4,1]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,5,3,4,1,2]=>11010=>([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) [6,5,3,4,2,1]=>11011=>([(0,2),(0,3),(1,5),(1,6),(2,10),(2,11),(3,1),(3,10),(3,11),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9)],12) [6,5,4,1,2,3]=>11100=>([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) [6,5,4,1,3,2]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,5,4,2,1,3]=>11110=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [6,5,4,2,3,1]=>11101=>([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) [6,5,4,3,1,2]=>11110=>([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) [6,5,4,3,2,1]=>11111=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6) [1,2,3,4,5,6,7]=>000000=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [1,2,3,4,5,7,6]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,2,3,4,6,5,7]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,3,4,6,7,5]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,2,3,4,7,5,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,3,4,7,6,5]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,2,3,5,4,6,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,3,5,4,7,6]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,3,5,6,4,7]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,3,5,6,7,4]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,2,3,5,7,4,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,3,5,7,6,4]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,2,3,6,4,5,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,3,6,4,7,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,3,6,5,4,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,3,6,5,7,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,3,6,7,4,5]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,3,6,7,5,4]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,2,3,7,4,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,3,7,4,6,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,3,7,5,4,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,3,7,5,6,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,3,7,6,4,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,3,7,6,5,4]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,2,4,3,5,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,4,3,5,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,4,3,6,5,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,4,3,6,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,4,3,7,5,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,4,3,7,6,5]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,4,5,3,6,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,4,5,3,7,6]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,4,5,6,3,7]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,4,5,6,7,3]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,2,4,5,7,3,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,4,5,7,6,3]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,2,4,6,3,5,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,4,6,3,7,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,4,6,5,3,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,4,6,5,7,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,4,6,7,3,5]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,4,6,7,5,3]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,2,4,7,3,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,4,7,3,6,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,4,7,5,3,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,4,7,5,6,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,4,7,6,3,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,4,7,6,5,3]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,2,5,3,4,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,5,3,4,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,5,3,6,4,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,5,3,6,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,5,3,7,4,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,5,3,7,6,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,5,4,3,6,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,2,5,4,3,7,6]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,5,4,6,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,5,4,6,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,5,4,7,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,5,4,7,6,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,5,6,3,4,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,5,6,3,7,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,5,6,4,3,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,5,6,4,7,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,5,6,7,3,4]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,2,5,6,7,4,3]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,2,5,7,3,4,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,5,7,3,6,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,5,7,4,3,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,5,7,4,6,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,5,7,6,3,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,5,7,6,4,3]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,2,6,3,4,5,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,6,3,4,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,6,3,5,4,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,6,3,5,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,6,3,7,4,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,6,3,7,5,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,6,4,3,5,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,2,6,4,3,7,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,6,4,5,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,6,4,5,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,6,4,7,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,6,4,7,5,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,6,5,3,4,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,2,6,5,3,7,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,6,5,4,3,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,2,6,5,4,7,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,6,5,7,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,6,5,7,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,6,7,3,4,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,6,7,3,5,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,6,7,4,3,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,6,7,4,5,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,2,6,7,5,3,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,2,6,7,5,4,3]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,2,7,3,4,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,2,7,3,4,6,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,7,3,5,4,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,7,3,5,6,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,7,3,6,4,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,7,3,6,5,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,7,4,3,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,2,7,4,3,6,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,7,4,5,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,7,4,5,6,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,2,7,4,6,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,7,4,6,5,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,7,5,3,4,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,2,7,5,3,6,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,7,5,4,3,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,2,7,5,4,6,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,7,5,6,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,2,7,5,6,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,2,7,6,3,4,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,2,7,6,3,5,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,7,6,4,3,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,2,7,6,4,5,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,2,7,6,5,3,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,2,7,6,5,4,3]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,3,2,4,5,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,3,2,4,5,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,3,2,4,6,5,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,3,2,4,6,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,3,2,4,7,5,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,3,2,4,7,6,5]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,2,5,4,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,2,5,4,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,3,2,5,6,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,3,2,5,6,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,3,2,5,7,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,3,2,5,7,6,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,2,6,4,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,2,6,4,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,3,2,6,5,4,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,3,2,6,5,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,3,2,6,7,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,3,2,6,7,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,2,7,4,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,2,7,4,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,3,2,7,5,4,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,3,2,7,5,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,3,2,7,6,4,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,3,2,7,6,5,4]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,4,2,5,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,4,2,5,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,4,2,6,5,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,4,2,6,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,4,2,7,5,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,4,2,7,6,5]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,4,5,2,6,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,4,5,2,7,6]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,4,5,6,2,7]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,3,4,5,6,7,2]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [1,3,4,5,7,2,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,3,4,5,7,6,2]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,3,4,6,2,5,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,4,6,2,7,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,4,6,5,2,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,4,6,5,7,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,4,6,7,2,5]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,3,4,6,7,5,2]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,3,4,7,2,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,4,7,2,6,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,4,7,5,2,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,4,7,5,6,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,4,7,6,2,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,4,7,6,5,2]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,3,5,2,4,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,5,2,4,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,5,2,6,4,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,5,2,6,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,5,2,7,4,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,5,2,7,6,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,5,4,2,6,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,3,5,4,2,7,6]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,5,4,6,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,5,4,6,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,5,4,7,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,5,4,7,6,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,5,6,2,4,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,5,6,2,7,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,5,6,4,2,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,5,6,4,7,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,5,6,7,2,4]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,3,5,6,7,4,2]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,3,5,7,2,4,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,5,7,2,6,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,5,7,4,2,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,5,7,4,6,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,5,7,6,2,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,5,7,6,4,2]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,3,6,2,4,5,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,6,2,4,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,6,2,5,4,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,6,2,5,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,6,2,7,4,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,6,2,7,5,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,6,4,2,5,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,3,6,4,2,7,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,6,4,5,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,6,4,5,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,6,4,7,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,6,4,7,5,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,6,5,2,4,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,3,6,5,2,7,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,6,5,4,2,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,3,6,5,4,7,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,6,5,7,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,6,5,7,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,6,7,2,4,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,6,7,2,5,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,6,7,4,2,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,6,7,4,5,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,3,6,7,5,2,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,3,6,7,5,4,2]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,3,7,2,4,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,3,7,2,4,6,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,7,2,5,4,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,7,2,5,6,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,7,2,6,4,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,7,2,6,5,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,7,4,2,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,3,7,4,2,6,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,7,4,5,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,7,4,5,6,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,3,7,4,6,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,7,4,6,5,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,7,5,2,4,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,3,7,5,2,6,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,7,5,4,2,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,3,7,5,4,6,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,7,5,6,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,3,7,5,6,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,3,7,6,2,4,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,3,7,6,2,5,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,7,6,4,2,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,3,7,6,4,5,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,3,7,6,5,2,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,3,7,6,5,4,2]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,4,2,3,5,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,4,2,3,5,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,4,2,3,6,5,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,2,3,6,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,4,2,3,7,5,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,2,3,7,6,5]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,2,5,3,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,2,5,3,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,2,5,6,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,2,5,6,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,4,2,5,7,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,2,5,7,6,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,2,6,3,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,2,6,3,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,2,6,5,3,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,2,6,5,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,2,6,7,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,2,6,7,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,2,7,3,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,2,7,3,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,2,7,5,3,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,2,7,5,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,2,7,6,3,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,2,7,6,5,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,3,2,5,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,4,3,2,5,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,4,3,2,6,5,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,3,2,6,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,4,3,2,7,5,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,3,2,7,6,5]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,3,5,2,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,3,5,2,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,3,5,6,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,3,5,6,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,4,3,5,7,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,3,5,7,6,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,3,6,2,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,3,6,2,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,3,6,5,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,3,6,5,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,3,6,7,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,4,3,6,7,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,3,7,2,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,3,7,2,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,3,7,5,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,3,7,5,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,4,3,7,6,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,4,3,7,6,5,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,5,2,3,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,4,5,2,3,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,5,2,6,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,5,2,6,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,5,2,7,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,5,2,7,6,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,5,3,2,6,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,4,5,3,2,7,6]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,5,3,6,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,5,3,6,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,5,3,7,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,5,3,7,6,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,5,6,2,3,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,4,5,6,2,7,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,5,6,3,2,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,4,5,6,3,7,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,5,6,7,2,3]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,4,5,6,7,3,2]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,4,5,7,2,3,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,4,5,7,2,6,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,5,7,3,2,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,4,5,7,3,6,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,5,7,6,2,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,4,5,7,6,3,2]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,4,6,2,3,5,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,4,6,2,3,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,6,2,5,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,6,2,5,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,6,2,7,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,6,2,7,5,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,6,3,2,5,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,4,6,3,2,7,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,6,3,5,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,6,3,5,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,6,3,7,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,6,3,7,5,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,6,5,2,3,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,4,6,5,2,7,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,6,5,3,2,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,4,6,5,3,7,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,6,5,7,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,6,5,7,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,6,7,2,3,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,4,6,7,2,5,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,6,7,3,2,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,4,6,7,3,5,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,4,6,7,5,2,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,4,6,7,5,3,2]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,4,7,2,3,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,4,7,2,3,6,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,7,2,5,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,7,2,5,6,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,7,2,6,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,7,2,6,5,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,7,3,2,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,4,7,3,2,6,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,7,3,5,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,7,3,5,6,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,4,7,3,6,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,7,3,6,5,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,7,5,2,3,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,4,7,5,2,6,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,7,5,3,2,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,4,7,5,3,6,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,7,5,6,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,4,7,5,6,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,4,7,6,2,3,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,4,7,6,2,5,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,7,6,3,2,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,4,7,6,3,5,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,4,7,6,5,2,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,4,7,6,5,3,2]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,5,2,3,4,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,5,2,3,4,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,5,2,3,6,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,2,3,6,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,5,2,3,7,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,2,3,7,6,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,2,4,3,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,2,4,3,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,2,4,6,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,2,4,6,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,5,2,4,7,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,2,4,7,6,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,2,6,3,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,2,6,3,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,2,6,4,3,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,2,6,4,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,2,6,7,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,2,6,7,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,2,7,3,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,2,7,3,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,2,7,4,3,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,2,7,4,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,2,7,6,3,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,2,7,6,4,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,5,3,2,4,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,5,3,2,4,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,5,3,2,6,4,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,3,2,6,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,5,3,2,7,4,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,3,2,7,6,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,3,4,2,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,3,4,2,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,3,4,6,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,3,4,6,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,5,3,4,7,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,3,4,7,6,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,3,6,2,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,3,6,2,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,3,6,4,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,3,6,4,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,3,6,7,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,3,6,7,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,3,7,2,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,3,7,2,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,3,7,4,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,3,7,4,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,3,7,6,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,3,7,6,4,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,5,4,2,3,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,5,4,2,3,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,5,4,2,6,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,2,6,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,5,4,2,7,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,2,7,6,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,4,3,2,6,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,5,4,3,2,7,6]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,5,4,3,6,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,3,6,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,5,4,3,7,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,3,7,6,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,4,6,2,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,4,6,2,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,4,6,3,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,6,3,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,4,6,7,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,5,4,6,7,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,4,7,2,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,4,7,2,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,4,7,3,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,7,3,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,5,4,7,6,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,5,4,7,6,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,5,6,2,3,4,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,5,6,2,3,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,6,2,4,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,6,2,4,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,6,2,7,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,6,2,7,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,5,6,3,2,4,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,5,6,3,2,7,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,6,3,4,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,6,3,4,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,6,3,7,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,6,3,7,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,5,6,4,2,3,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,5,6,4,2,7,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,6,4,3,2,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,5,6,4,3,7,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,6,4,7,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,6,4,7,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,5,6,7,2,3,4]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,5,6,7,2,4,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,5,6,7,3,2,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,5,6,7,3,4,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,5,6,7,4,2,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,5,6,7,4,3,2]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [1,5,7,2,3,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,5,7,2,3,6,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,7,2,4,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,7,2,4,6,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,7,2,6,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,7,2,6,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,5,7,3,2,4,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,5,7,3,2,6,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,7,3,4,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,7,3,4,6,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,5,7,3,6,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,7,3,6,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,5,7,4,2,3,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,5,7,4,2,6,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,7,4,3,2,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,5,7,4,3,6,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,7,4,6,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,5,7,4,6,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,5,7,6,2,3,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,5,7,6,2,4,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,7,6,3,2,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,5,7,6,3,4,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,5,7,6,4,2,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,5,7,6,4,3,2]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,6,2,3,4,5,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,6,2,3,4,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,2,3,5,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,2,3,5,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,2,3,7,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,2,3,7,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,2,4,3,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,2,4,3,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,2,4,5,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,2,4,5,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,2,4,7,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,2,4,7,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,2,5,3,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,2,5,3,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,2,5,4,3,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,2,5,4,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,2,5,7,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,2,5,7,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,2,7,3,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,2,7,3,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,2,7,4,3,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,2,7,4,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,2,7,5,3,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,2,7,5,4,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,6,3,2,4,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,6,3,2,4,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,3,2,5,4,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,3,2,5,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,3,2,7,4,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,3,2,7,5,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,3,4,2,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,3,4,2,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,3,4,5,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,3,4,5,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,3,4,7,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,3,4,7,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,3,5,2,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,3,5,2,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,3,5,4,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,3,5,4,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,3,5,7,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,3,5,7,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,3,7,2,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,3,7,2,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,3,7,4,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,3,7,4,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,3,7,5,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,3,7,5,4,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,6,4,2,3,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,6,4,2,3,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,4,2,5,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,2,5,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,4,2,7,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,2,7,5,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,4,3,2,5,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,6,4,3,2,7,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,4,3,5,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,3,5,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,4,3,7,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,3,7,5,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,4,5,2,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,4,5,2,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,4,5,3,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,5,3,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,4,5,7,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,6,4,5,7,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,4,7,2,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,4,7,2,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,4,7,3,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,7,3,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,4,7,5,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,4,7,5,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,6,5,2,3,4,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,6,5,2,3,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,5,2,4,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,2,4,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,5,2,7,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,2,7,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,5,3,2,4,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,6,5,3,2,7,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,5,3,4,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,3,4,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,6,5,3,7,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,3,7,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,5,4,2,3,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,6,5,4,2,7,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,5,4,3,2,7]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [1,6,5,4,3,7,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,6,5,4,7,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,4,7,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,5,7,2,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,5,7,2,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,5,7,3,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,7,3,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,6,5,7,4,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,6,5,7,4,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,6,7,2,3,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [1,6,7,2,3,5,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,7,2,4,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,7,2,4,5,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,7,2,5,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,7,2,5,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,6,7,3,2,4,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,6,7,3,2,5,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,7,3,4,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,7,3,4,5,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,6,7,3,5,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,7,3,5,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,6,7,4,2,3,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,6,7,4,2,5,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,7,4,3,2,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,6,7,4,3,5,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,7,4,5,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,6,7,4,5,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [1,6,7,5,2,3,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [1,6,7,5,2,4,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,7,5,3,2,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,6,7,5,3,4,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,6,7,5,4,2,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,6,7,5,4,3,2]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [1,7,2,3,4,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [1,7,2,3,4,6,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,2,3,5,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,2,3,5,6,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,2,3,6,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,2,3,6,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,7,2,4,3,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,2,4,3,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,2,4,5,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,2,4,5,6,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,2,4,6,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,2,4,6,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,7,2,5,3,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,2,5,3,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,2,5,4,3,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,2,5,4,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,2,5,6,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,2,5,6,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,7,2,6,3,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,2,6,3,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,2,6,4,3,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,2,6,4,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,2,6,5,3,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,2,6,5,4,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,7,3,2,4,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,7,3,2,4,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,3,2,5,4,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,3,2,5,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,3,2,6,4,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,3,2,6,5,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,3,4,2,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,3,4,2,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,3,4,5,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,3,4,5,6,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,3,4,6,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,3,4,6,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,7,3,5,2,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,3,5,2,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,3,5,4,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,3,5,4,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,3,5,6,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,3,5,6,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,7,3,6,2,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,3,6,2,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,3,6,4,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,3,6,4,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,3,6,5,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,3,6,5,4,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,7,4,2,3,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,7,4,2,3,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,4,2,5,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,2,5,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,4,2,6,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,2,6,5,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,4,3,2,5,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,7,4,3,2,6,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,4,3,5,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,3,5,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,4,3,6,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,3,6,5,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,4,5,2,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,4,5,2,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,4,5,3,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,5,3,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,4,5,6,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [1,7,4,5,6,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [1,7,4,6,2,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,4,6,2,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,4,6,3,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,6,3,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,4,6,5,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,4,6,5,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,7,5,2,3,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,7,5,2,3,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,5,2,4,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,2,4,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,5,2,6,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,2,6,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,5,3,2,4,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,7,5,3,2,6,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,5,3,4,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,3,4,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,5,3,6,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,3,6,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,5,4,2,3,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,7,5,4,2,6,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,5,4,3,2,6]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [1,7,5,4,3,6,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,5,4,6,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,4,6,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,5,6,2,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [1,7,5,6,2,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,5,6,3,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,6,3,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [1,7,5,6,4,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,5,6,4,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [1,7,6,2,3,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [1,7,6,2,3,5,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,6,2,4,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,6,2,4,5,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,6,2,5,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,6,2,5,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,6,3,2,4,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,7,6,3,2,5,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,6,3,4,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,6,3,4,5,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [1,7,6,3,5,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,6,3,5,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,6,4,2,3,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,7,6,4,2,5,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,6,4,3,2,5]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [1,7,6,4,3,5,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,6,4,5,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [1,7,6,4,5,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [1,7,6,5,2,3,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [1,7,6,5,2,4,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,6,5,3,2,4]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [1,7,6,5,3,4,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [1,7,6,5,4,2,3]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [1,7,6,5,4,3,2]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [2,1,3,4,5,6,7]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [2,1,3,4,5,7,6]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,1,3,4,6,5,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,3,4,6,7,5]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,1,3,4,7,5,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,3,4,7,6,5]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,1,3,5,4,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,3,5,4,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,3,5,6,4,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,3,5,6,7,4]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,1,3,5,7,4,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,3,5,7,6,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,1,3,6,4,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,3,6,4,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,3,6,5,4,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,3,6,5,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,3,6,7,4,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,3,6,7,5,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,1,3,7,4,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,3,7,4,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,3,7,5,4,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,3,7,5,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,3,7,6,4,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,3,7,6,5,4]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,1,4,3,5,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,1,4,3,5,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,3,6,5,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,4,3,6,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,3,7,5,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,4,3,7,6,5]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,4,5,3,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,4,5,3,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,5,6,3,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,4,5,6,7,3]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,1,4,5,7,3,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,4,5,7,6,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,1,4,6,3,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,4,6,3,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,6,5,3,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,4,6,5,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,6,7,3,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,4,6,7,5,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,1,4,7,3,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,4,7,3,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,7,5,3,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,4,7,5,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,4,7,6,3,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,4,7,6,5,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,1,5,3,4,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,1,5,3,4,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,3,6,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,5,3,6,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,3,7,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,5,3,7,6,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,5,4,3,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,1,5,4,3,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,5,4,6,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,5,4,6,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,4,7,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,5,4,7,6,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,5,6,3,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,5,6,3,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,6,4,3,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,5,6,4,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,6,7,3,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,5,6,7,4,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,1,5,7,3,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,5,7,3,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,7,4,3,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,5,7,4,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,5,7,6,3,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,5,7,6,4,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,1,6,3,4,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,1,6,3,4,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,6,3,5,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,6,3,5,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,6,3,7,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,6,3,7,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,6,4,3,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,1,6,4,3,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,6,4,5,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,6,4,5,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,6,4,7,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,6,4,7,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,6,5,3,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,1,6,5,3,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,6,5,4,3,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,6,5,4,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,6,5,7,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,6,5,7,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,6,7,3,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,1,6,7,3,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,6,7,4,3,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,6,7,4,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,6,7,5,3,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,1,6,7,5,4,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,1,7,3,4,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,1,7,3,4,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,7,3,5,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,7,3,5,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,7,3,6,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,7,3,6,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,7,4,3,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,1,7,4,3,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,7,4,5,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,7,4,5,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,1,7,4,6,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,7,4,6,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,7,5,3,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,1,7,5,3,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,7,5,4,3,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,7,5,4,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,7,5,6,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,1,7,5,6,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,1,7,6,3,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,1,7,6,3,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,7,6,4,3,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,7,6,4,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,1,7,6,5,3,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,1,7,6,5,4,3]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,3,1,4,5,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,3,1,4,5,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,3,1,4,6,5,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,3,1,4,6,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,3,1,4,7,5,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,3,1,4,7,6,5]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,1,5,4,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,1,5,4,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,3,1,5,6,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,3,1,5,6,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,3,1,5,7,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,3,1,5,7,6,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,1,6,4,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,1,6,4,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,3,1,6,5,4,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,3,1,6,5,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,3,1,6,7,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,3,1,6,7,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,1,7,4,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,1,7,4,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,3,1,7,5,4,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,3,1,7,5,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,3,1,7,6,4,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,3,1,7,6,5,4]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,4,1,5,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,4,1,5,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,4,1,6,5,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,4,1,6,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,4,1,7,5,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,4,1,7,6,5]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,4,5,1,6,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,4,5,1,7,6]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,4,5,6,1,7]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,3,4,5,6,7,1]=>000001=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [2,3,4,5,7,1,6]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,3,4,5,7,6,1]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,3,4,6,1,5,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,4,6,1,7,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,4,6,5,1,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,4,6,5,7,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,4,6,7,1,5]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,3,4,6,7,5,1]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,3,4,7,1,5,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,4,7,1,6,5]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,4,7,5,1,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,4,7,5,6,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,4,7,6,1,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,4,7,6,5,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [2,3,5,1,4,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,5,1,4,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,5,1,6,4,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,5,1,6,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,5,1,7,4,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,5,1,7,6,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,5,4,1,6,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,3,5,4,1,7,6]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,5,4,6,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,5,4,6,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,5,4,7,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,5,4,7,6,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,5,6,1,4,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,5,6,1,7,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,5,6,4,1,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,5,6,4,7,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,5,6,7,1,4]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,3,5,6,7,4,1]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,3,5,7,1,4,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,5,7,1,6,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,5,7,4,1,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,5,7,4,6,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,5,7,6,1,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,5,7,6,4,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [2,3,6,1,4,5,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,6,1,4,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,6,1,5,4,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,6,1,5,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,6,1,7,4,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,6,1,7,5,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,6,4,1,5,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,3,6,4,1,7,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,6,4,5,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,6,4,5,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,6,4,7,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,6,4,7,5,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,6,5,1,4,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,3,6,5,1,7,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,6,5,4,1,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,3,6,5,4,7,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,6,5,7,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,6,5,7,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,6,7,1,4,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,6,7,1,5,4]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,6,7,4,1,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,6,7,4,5,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,3,6,7,5,1,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,3,6,7,5,4,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [2,3,7,1,4,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,3,7,1,4,6,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,7,1,5,4,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,7,1,5,6,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,7,1,6,4,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,7,1,6,5,4]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,7,4,1,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,3,7,4,1,6,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,7,4,5,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,7,4,5,6,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,3,7,4,6,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,7,4,6,5,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,7,5,1,4,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,3,7,5,1,6,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,7,5,4,1,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,3,7,5,4,6,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,7,5,6,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,3,7,5,6,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,3,7,6,1,4,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,3,7,6,1,5,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,7,6,4,1,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,3,7,6,4,5,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,3,7,6,5,1,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,3,7,6,5,4,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,4,1,3,5,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,4,1,3,5,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,4,1,3,6,5,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,1,3,6,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,4,1,3,7,5,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,1,3,7,6,5]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,1,5,3,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,1,5,3,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,1,5,6,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,1,5,6,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,4,1,5,7,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,1,5,7,6,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,1,6,3,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,1,6,3,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,1,6,5,3,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,1,6,5,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,1,6,7,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,1,6,7,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,1,7,3,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,1,7,3,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,1,7,5,3,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,1,7,5,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,1,7,6,3,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,1,7,6,5,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,3,1,5,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,4,3,1,5,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,4,3,1,6,5,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,3,1,6,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,4,3,1,7,5,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,3,1,7,6,5]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,3,5,1,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,3,5,1,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,3,5,6,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,3,5,6,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,4,3,5,7,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,3,5,7,6,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,3,6,1,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,3,6,1,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,3,6,5,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,3,6,5,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,3,6,7,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,4,3,6,7,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,3,7,1,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,3,7,1,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,3,7,5,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,3,7,5,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,4,3,7,6,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,4,3,7,6,5,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,5,1,3,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,4,5,1,3,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,5,1,6,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,5,1,6,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,5,1,7,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,5,1,7,6,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,5,3,1,6,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,4,5,3,1,7,6]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,5,3,6,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,5,3,6,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,5,3,7,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,5,3,7,6,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,5,6,1,3,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,4,5,6,1,7,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,5,6,3,1,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,4,5,6,3,7,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,5,6,7,1,3]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,4,5,6,7,3,1]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,4,5,7,1,3,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,4,5,7,1,6,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,5,7,3,1,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,4,5,7,3,6,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,5,7,6,1,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,4,5,7,6,3,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [2,4,6,1,3,5,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,4,6,1,3,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,6,1,5,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,6,1,5,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,6,1,7,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,6,1,7,5,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,6,3,1,5,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,4,6,3,1,7,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,6,3,5,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,6,3,5,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,6,3,7,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,6,3,7,5,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,6,5,1,3,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,4,6,5,1,7,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,6,5,3,1,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,4,6,5,3,7,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,6,5,7,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,6,5,7,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,6,7,1,3,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,4,6,7,1,5,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,6,7,3,1,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,4,6,7,3,5,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,4,6,7,5,1,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,4,6,7,5,3,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [2,4,7,1,3,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,4,7,1,3,6,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,7,1,5,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,7,1,5,6,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,7,1,6,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,7,1,6,5,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,7,3,1,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,4,7,3,1,6,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,7,3,5,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,7,3,5,6,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,4,7,3,6,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,7,3,6,5,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,7,5,1,3,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,4,7,5,1,6,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,7,5,3,1,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,4,7,5,3,6,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,7,5,6,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,4,7,5,6,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,4,7,6,1,3,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,4,7,6,1,5,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,7,6,3,1,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,4,7,6,3,5,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,4,7,6,5,1,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,4,7,6,5,3,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,5,1,3,4,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,5,1,3,4,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,5,1,3,6,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,1,3,6,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,5,1,3,7,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,1,3,7,6,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,1,4,3,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,1,4,3,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,1,4,6,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,1,4,6,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,5,1,4,7,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,1,4,7,6,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,1,6,3,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,1,6,3,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,1,6,4,3,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,1,6,4,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,1,6,7,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,1,6,7,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,1,7,3,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,1,7,3,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,1,7,4,3,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,1,7,4,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,1,7,6,3,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,1,7,6,4,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,5,3,1,4,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,5,3,1,4,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,5,3,1,6,4,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,3,1,6,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,5,3,1,7,4,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,3,1,7,6,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,3,4,1,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,3,4,1,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,3,4,6,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,3,4,6,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,5,3,4,7,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,3,4,7,6,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,3,6,1,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,3,6,1,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,3,6,4,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,3,6,4,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,3,6,7,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,3,6,7,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,3,7,1,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,3,7,1,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,3,7,4,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,3,7,4,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,3,7,6,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,3,7,6,4,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,5,4,1,3,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,5,4,1,3,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,5,4,1,6,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,1,6,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,5,4,1,7,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,1,7,6,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,4,3,1,6,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,5,4,3,1,7,6]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,5,4,3,6,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,3,6,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,5,4,3,7,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,3,7,6,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,4,6,1,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,4,6,1,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,4,6,3,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,6,3,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,4,6,7,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,5,4,6,7,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,4,7,1,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,4,7,1,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,4,7,3,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,7,3,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,5,4,7,6,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,5,4,7,6,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,5,6,1,3,4,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,5,6,1,3,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,6,1,4,3,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,6,1,4,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,6,1,7,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,6,1,7,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,5,6,3,1,4,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,5,6,3,1,7,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,6,3,4,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,6,3,4,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,6,3,7,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,6,3,7,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,5,6,4,1,3,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,5,6,4,1,7,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,6,4,3,1,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,5,6,4,3,7,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,6,4,7,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,6,4,7,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,5,6,7,1,3,4]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,5,6,7,1,4,3]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,5,6,7,3,1,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,5,6,7,3,4,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,5,6,7,4,1,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,5,6,7,4,3,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [2,5,7,1,3,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,5,7,1,3,6,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,7,1,4,3,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,7,1,4,6,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,7,1,6,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,7,1,6,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,5,7,3,1,4,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,5,7,3,1,6,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,7,3,4,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,7,3,4,6,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,5,7,3,6,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,7,3,6,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,5,7,4,1,3,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,5,7,4,1,6,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,7,4,3,1,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,5,7,4,3,6,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,7,4,6,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,5,7,4,6,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,5,7,6,1,3,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,5,7,6,1,4,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,7,6,3,1,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,5,7,6,3,4,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,5,7,6,4,1,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,5,7,6,4,3,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,6,1,3,4,5,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,6,1,3,4,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,1,3,5,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,1,3,5,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,1,3,7,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,1,3,7,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,1,4,3,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,1,4,3,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,1,4,5,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,1,4,5,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,1,4,7,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,1,4,7,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,1,5,3,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,1,5,3,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,1,5,4,3,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,1,5,4,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,1,5,7,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,1,5,7,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,1,7,3,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,1,7,3,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,1,7,4,3,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,1,7,4,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,1,7,5,3,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,1,7,5,4,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,6,3,1,4,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,6,3,1,4,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,3,1,5,4,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,3,1,5,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,3,1,7,4,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,3,1,7,5,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,3,4,1,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,3,4,1,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,3,4,5,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,3,4,5,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,3,4,7,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,3,4,7,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,3,5,1,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,3,5,1,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,3,5,4,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,3,5,4,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,3,5,7,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,3,5,7,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,3,7,1,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,3,7,1,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,3,7,4,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,3,7,4,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,3,7,5,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,3,7,5,4,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,6,4,1,3,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,6,4,1,3,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,4,1,5,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,1,5,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,4,1,7,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,1,7,5,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,4,3,1,5,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,6,4,3,1,7,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,4,3,5,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,3,5,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,4,3,7,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,3,7,5,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,4,5,1,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,4,5,1,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,4,5,3,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,5,3,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,4,5,7,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,6,4,5,7,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,4,7,1,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,4,7,1,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,4,7,3,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,7,3,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,4,7,5,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,4,7,5,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,6,5,1,3,4,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,6,5,1,3,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,5,1,4,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,1,4,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,5,1,7,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,1,7,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,5,3,1,4,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,6,5,3,1,7,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,5,3,4,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,3,4,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,6,5,3,7,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,3,7,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,5,4,1,3,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,6,5,4,1,7,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,5,4,3,1,7]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,6,5,4,3,7,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,6,5,4,7,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,4,7,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,5,7,1,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,5,7,1,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,5,7,3,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,7,3,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,6,5,7,4,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,6,5,7,4,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,6,7,1,3,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [2,6,7,1,3,5,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,7,1,4,3,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,7,1,4,5,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,7,1,5,3,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,7,1,5,4,3]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,6,7,3,1,4,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,6,7,3,1,5,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,7,3,4,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,7,3,4,5,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,6,7,3,5,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,7,3,5,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,6,7,4,1,3,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,6,7,4,1,5,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,7,4,3,1,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,6,7,4,3,5,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,7,4,5,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,6,7,4,5,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [2,6,7,5,1,3,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [2,6,7,5,1,4,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,7,5,3,1,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,6,7,5,3,4,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,6,7,5,4,1,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,6,7,5,4,3,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [2,7,1,3,4,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [2,7,1,3,4,6,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,1,3,5,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,1,3,5,6,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,1,3,6,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,1,3,6,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,7,1,4,3,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,1,4,3,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,1,4,5,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,1,4,5,6,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,1,4,6,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,1,4,6,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,7,1,5,3,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,1,5,3,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,1,5,4,3,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,1,5,4,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,1,5,6,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,1,5,6,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,7,1,6,3,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,1,6,3,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,1,6,4,3,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,1,6,4,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,1,6,5,3,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,1,6,5,4,3]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,7,3,1,4,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,7,3,1,4,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,3,1,5,4,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,3,1,5,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,3,1,6,4,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,3,1,6,5,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,3,4,1,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,3,4,1,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,3,4,5,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,3,4,5,6,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,3,4,6,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,3,4,6,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,7,3,5,1,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,3,5,1,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,3,5,4,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,3,5,4,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,3,5,6,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,3,5,6,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,7,3,6,1,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,3,6,1,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,3,6,4,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,3,6,4,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,3,6,5,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,3,6,5,4,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,7,4,1,3,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,7,4,1,3,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,4,1,5,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,1,5,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,4,1,6,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,1,6,5,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,4,3,1,5,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,7,4,3,1,6,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,4,3,5,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,3,5,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,4,3,6,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,3,6,5,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,4,5,1,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,4,5,1,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,4,5,3,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,5,3,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,4,5,6,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [2,7,4,5,6,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [2,7,4,6,1,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,4,6,1,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,4,6,3,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,6,3,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,4,6,5,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,4,6,5,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,7,5,1,3,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,7,5,1,3,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,5,1,4,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,1,4,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,5,1,6,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,1,6,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,5,3,1,4,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,7,5,3,1,6,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,5,3,4,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,3,4,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,5,3,6,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,3,6,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,5,4,1,3,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,7,5,4,1,6,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,5,4,3,1,6]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,7,5,4,3,6,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,5,4,6,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,4,6,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,5,6,1,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [2,7,5,6,1,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,5,6,3,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,6,3,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [2,7,5,6,4,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,5,6,4,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [2,7,6,1,3,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [2,7,6,1,3,5,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,6,1,4,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,6,1,4,5,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,6,1,5,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,6,1,5,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,6,3,1,4,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,7,6,3,1,5,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,6,3,4,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,6,3,4,5,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [2,7,6,3,5,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,6,3,5,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,6,4,1,3,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,7,6,4,1,5,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,6,4,3,1,5]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,7,6,4,3,5,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,6,4,5,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [2,7,6,4,5,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [2,7,6,5,1,3,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [2,7,6,5,1,4,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,6,5,3,1,4]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,7,6,5,3,4,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [2,7,6,5,4,1,3]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [2,7,6,5,4,3,1]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [3,1,2,4,5,6,7]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [3,1,2,4,5,7,6]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,1,2,4,6,5,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,2,4,6,7,5]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,1,2,4,7,5,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,2,4,7,6,5]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,1,2,5,4,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,2,5,4,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,2,5,6,4,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,2,5,6,7,4]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,1,2,5,7,4,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,2,5,7,6,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,1,2,6,4,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,2,6,4,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,2,6,5,4,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,2,6,5,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,2,6,7,4,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,2,6,7,5,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,1,2,7,4,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,2,7,4,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,2,7,5,4,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,2,7,5,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,2,7,6,4,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,2,7,6,5,4]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,1,4,2,5,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,1,4,2,5,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,2,6,5,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,4,2,6,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,2,7,5,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,4,2,7,6,5]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,4,5,2,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,4,5,2,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,5,6,2,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,4,5,6,7,2]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,1,4,5,7,2,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,4,5,7,6,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,1,4,6,2,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,4,6,2,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,6,5,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,4,6,5,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,6,7,2,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,4,6,7,5,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,1,4,7,2,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,4,7,2,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,7,5,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,4,7,5,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,4,7,6,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,4,7,6,5,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,1,5,2,4,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,1,5,2,4,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,2,6,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,5,2,6,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,2,7,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,5,2,7,6,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,5,4,2,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,1,5,4,2,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,5,4,6,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,5,4,6,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,4,7,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,5,4,7,6,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,5,6,2,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,5,6,2,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,6,4,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,5,6,4,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,6,7,2,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,5,6,7,4,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,1,5,7,2,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,5,7,2,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,7,4,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,5,7,4,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,5,7,6,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,5,7,6,4,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,1,6,2,4,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,1,6,2,4,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,6,2,5,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,6,2,5,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,6,2,7,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,6,2,7,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,6,4,2,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,1,6,4,2,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,6,4,5,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,6,4,5,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,6,4,7,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,6,4,7,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,6,5,2,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,1,6,5,2,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,6,5,4,2,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,6,5,4,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,6,5,7,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,6,5,7,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,6,7,2,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,1,6,7,2,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,6,7,4,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,6,7,4,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,6,7,5,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,1,6,7,5,4,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,1,7,2,4,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,1,7,2,4,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,7,2,5,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,7,2,5,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,7,2,6,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,7,2,6,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,7,4,2,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,1,7,4,2,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,7,4,5,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,7,4,5,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,1,7,4,6,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,7,4,6,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,7,5,2,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,1,7,5,2,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,7,5,4,2,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,7,5,4,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,7,5,6,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,1,7,5,6,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,1,7,6,2,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,1,7,6,2,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,7,6,4,2,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,7,6,4,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,1,7,6,5,2,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,1,7,6,5,4,2]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,2,1,4,5,6,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [3,2,1,4,5,7,6]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,2,1,4,6,5,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,1,4,6,7,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,2,1,4,7,5,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,1,4,7,6,5]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,2,1,5,4,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,2,1,5,4,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,1,5,6,4,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,1,5,6,7,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,2,1,5,7,4,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,1,5,7,6,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,2,1,6,4,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,2,1,6,4,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,1,6,5,4,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,1,6,5,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,1,6,7,4,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,1,6,7,5,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,2,1,7,4,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,2,1,7,4,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,1,7,5,4,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,1,7,5,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,1,7,6,4,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,1,7,6,5,4]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,2,4,1,5,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,2,4,1,5,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,1,6,5,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,4,1,6,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,1,7,5,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,4,1,7,6,5]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,4,5,1,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,4,5,1,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,5,6,1,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,4,5,6,7,1]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,2,4,5,7,1,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,4,5,7,6,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,2,4,6,1,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,4,6,1,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,6,5,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,4,6,5,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,6,7,1,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,4,6,7,5,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,2,4,7,1,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,4,7,1,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,7,5,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,4,7,5,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,4,7,6,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,4,7,6,5,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,2,5,1,4,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,2,5,1,4,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,1,6,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,5,1,6,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,1,7,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,5,1,7,6,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,5,4,1,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,5,4,1,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,5,4,6,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,5,4,6,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,4,7,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,5,4,7,6,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,5,6,1,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,5,6,1,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,6,4,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,5,6,4,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,6,7,1,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,5,6,7,4,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,2,5,7,1,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,5,7,1,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,7,4,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,5,7,4,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,5,7,6,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,5,7,6,4,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,2,6,1,4,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,2,6,1,4,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,6,1,5,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,6,1,5,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,6,1,7,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,6,1,7,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,6,4,1,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,6,4,1,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,6,4,5,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,6,4,5,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,6,4,7,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,6,4,7,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,6,5,1,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,6,5,1,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,6,5,4,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,6,5,4,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,6,5,7,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,6,5,7,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,6,7,1,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,2,6,7,1,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,6,7,4,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,6,7,4,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,6,7,5,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,2,6,7,5,4,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,2,7,1,4,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,2,7,1,4,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,7,1,5,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,7,1,5,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,7,1,6,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,7,1,6,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,7,4,1,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,7,4,1,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,7,4,5,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,7,4,5,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,2,7,4,6,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,7,4,6,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,7,5,1,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,7,5,1,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,7,5,4,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,7,5,4,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,7,5,6,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,2,7,5,6,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,2,7,6,1,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,2,7,6,1,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,7,6,4,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,7,6,4,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,2,7,6,5,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,2,7,6,5,4,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,4,1,2,5,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,4,1,2,5,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,4,1,2,6,5,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,1,2,6,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,4,1,2,7,5,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,1,2,7,6,5]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,1,5,2,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,1,5,2,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,1,5,6,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,1,5,6,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,4,1,5,7,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,1,5,7,6,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,1,6,2,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,1,6,2,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,1,6,5,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,1,6,5,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,1,6,7,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,1,6,7,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,1,7,2,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,1,7,2,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,1,7,5,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,1,7,5,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,1,7,6,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,1,7,6,5,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,2,1,5,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,4,2,1,5,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,4,2,1,6,5,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,2,1,6,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,4,2,1,7,5,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,2,1,7,6,5]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,2,5,1,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,2,5,1,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,2,5,6,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,2,5,6,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,4,2,5,7,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,2,5,7,6,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,2,6,1,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,2,6,1,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,2,6,5,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,2,6,5,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,2,6,7,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,4,2,6,7,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,2,7,1,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,2,7,1,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,2,7,5,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,2,7,5,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,4,2,7,6,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,4,2,7,6,5,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,5,1,2,6,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,4,5,1,2,7,6]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,5,1,6,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,5,1,6,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,5,1,7,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,5,1,7,6,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,5,2,1,6,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,4,5,2,1,7,6]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,5,2,6,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,5,2,6,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,5,2,7,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,5,2,7,6,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,5,6,1,2,7]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,4,5,6,1,7,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,5,6,2,1,7]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,4,5,6,2,7,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,5,6,7,1,2]=>000010=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,4,5,6,7,2,1]=>000011=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [3,4,5,7,1,2,6]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,4,5,7,1,6,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,5,7,2,1,6]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,4,5,7,2,6,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,5,7,6,1,2]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,4,5,7,6,2,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [3,4,6,1,2,5,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,4,6,1,2,7,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,6,1,5,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,6,1,5,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,6,1,7,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,6,1,7,5,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,6,2,1,5,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,4,6,2,1,7,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,6,2,5,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,6,2,5,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,6,2,7,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,6,2,7,5,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,6,5,1,2,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,4,6,5,1,7,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,6,5,2,1,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,4,6,5,2,7,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,6,5,7,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,6,5,7,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,6,7,1,2,5]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,4,6,7,1,5,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,6,7,2,1,5]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,4,6,7,2,5,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,4,6,7,5,1,2]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,4,6,7,5,2,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [3,4,7,1,2,5,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,4,7,1,2,6,5]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,7,1,5,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,7,1,5,6,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,7,1,6,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,7,1,6,5,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,7,2,1,5,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,4,7,2,1,6,5]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,7,2,5,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,7,2,5,6,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,4,7,2,6,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,7,2,6,5,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,7,5,1,2,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,4,7,5,1,6,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,7,5,2,1,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,4,7,5,2,6,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,7,5,6,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,4,7,5,6,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,4,7,6,1,2,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,4,7,6,1,5,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,7,6,2,1,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,4,7,6,2,5,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,4,7,6,5,1,2]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,4,7,6,5,2,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [3,5,1,2,4,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,5,1,2,4,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,5,1,2,6,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,1,2,6,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,5,1,2,7,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,1,2,7,6,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,1,4,2,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,1,4,2,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,1,4,6,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,1,4,6,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,5,1,4,7,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,1,4,7,6,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,1,6,2,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,1,6,2,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,1,6,4,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,1,6,4,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,1,6,7,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,1,6,7,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,1,7,2,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,1,7,2,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,1,7,4,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,1,7,4,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,1,7,6,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,1,7,6,4,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,5,2,1,4,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,5,2,1,4,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,5,2,1,6,4,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,2,1,6,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,5,2,1,7,4,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,2,1,7,6,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,2,4,1,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,2,4,1,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,2,4,6,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,2,4,6,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,5,2,4,7,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,2,4,7,6,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,2,6,1,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,2,6,1,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,2,6,4,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,2,6,4,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,2,6,7,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,2,6,7,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,2,7,1,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,2,7,1,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,2,7,4,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,2,7,4,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,2,7,6,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,2,7,6,4,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,5,4,1,2,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,5,4,1,2,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,5,4,1,6,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,1,6,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,5,4,1,7,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,1,7,6,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,4,2,1,6,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,5,4,2,1,7,6]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,5,4,2,6,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,2,6,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,5,4,2,7,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,2,7,6,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,4,6,1,2,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,4,6,1,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,4,6,2,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,6,2,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,4,6,7,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,5,4,6,7,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,4,7,1,2,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,4,7,1,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,4,7,2,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,7,2,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,5,4,7,6,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,5,4,7,6,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,5,6,1,2,4,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,5,6,1,2,7,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,6,1,4,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,6,1,4,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,6,1,7,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,6,1,7,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,5,6,2,1,4,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,5,6,2,1,7,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,6,2,4,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,6,2,4,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,6,2,7,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,6,2,7,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,5,6,4,1,2,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,5,6,4,1,7,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,6,4,2,1,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,5,6,4,2,7,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,6,4,7,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,6,4,7,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,5,6,7,1,2,4]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,5,6,7,1,4,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,5,6,7,2,1,4]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,5,6,7,2,4,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,5,6,7,4,1,2]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,5,6,7,4,2,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [3,5,7,1,2,4,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,5,7,1,2,6,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,7,1,4,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,7,1,4,6,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,7,1,6,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,7,1,6,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,5,7,2,1,4,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,5,7,2,1,6,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,7,2,4,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,7,2,4,6,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,5,7,2,6,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,7,2,6,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,5,7,4,1,2,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,5,7,4,1,6,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,7,4,2,1,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,5,7,4,2,6,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,7,4,6,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,5,7,4,6,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,5,7,6,1,2,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,5,7,6,1,4,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,7,6,2,1,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,5,7,6,2,4,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,5,7,6,4,1,2]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,5,7,6,4,2,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [3,6,1,2,4,5,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,6,1,2,4,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,1,2,5,4,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,1,2,5,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,1,2,7,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,1,2,7,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,1,4,2,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,1,4,2,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,1,4,5,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,1,4,5,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,1,4,7,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,1,4,7,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,1,5,2,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,1,5,2,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,1,5,4,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,1,5,4,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,1,5,7,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,1,5,7,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,1,7,2,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,1,7,2,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,1,7,4,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,1,7,4,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,1,7,5,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,1,7,5,4,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,6,2,1,4,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,6,2,1,4,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,2,1,5,4,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,2,1,5,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,2,1,7,4,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,2,1,7,5,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,2,4,1,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,2,4,1,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,2,4,5,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,2,4,5,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,2,4,7,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,2,4,7,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,2,5,1,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,2,5,1,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,2,5,4,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,2,5,4,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,2,5,7,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,2,5,7,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,2,7,1,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,2,7,1,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,2,7,4,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,2,7,4,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,2,7,5,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,2,7,5,4,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,6,4,1,2,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,6,4,1,2,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,4,1,5,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,1,5,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,4,1,7,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,1,7,5,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,4,2,1,5,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,6,4,2,1,7,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,4,2,5,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,2,5,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,4,2,7,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,2,7,5,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,4,5,1,2,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,4,5,1,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,4,5,2,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,5,2,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,4,5,7,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,6,4,5,7,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,4,7,1,2,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,4,7,1,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,4,7,2,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,7,2,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,4,7,5,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,4,7,5,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,6,5,1,2,4,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,6,5,1,2,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,5,1,4,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,1,4,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,5,1,7,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,1,7,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,5,2,1,4,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,6,5,2,1,7,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,5,2,4,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,2,4,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,6,5,2,7,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,2,7,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,5,4,1,2,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,6,5,4,1,7,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,5,4,2,1,7]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,6,5,4,2,7,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,6,5,4,7,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,4,7,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,5,7,1,2,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,5,7,1,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,5,7,2,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,7,2,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,6,5,7,4,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,6,5,7,4,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,6,7,1,2,4,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [3,6,7,1,2,5,4]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,7,1,4,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,7,1,4,5,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,7,1,5,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,7,1,5,4,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,6,7,2,1,4,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,6,7,2,1,5,4]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,7,2,4,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,7,2,4,5,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,6,7,2,5,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,7,2,5,4,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,6,7,4,1,2,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,6,7,4,1,5,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,7,4,2,1,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,6,7,4,2,5,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,7,4,5,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,6,7,4,5,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [3,6,7,5,1,2,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [3,6,7,5,1,4,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,7,5,2,1,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,6,7,5,2,4,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,6,7,5,4,1,2]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,6,7,5,4,2,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [3,7,1,2,4,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [3,7,1,2,4,6,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,1,2,5,4,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,1,2,5,6,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,1,2,6,4,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,1,2,6,5,4]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,7,1,4,2,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,1,4,2,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,1,4,5,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,1,4,5,6,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,1,4,6,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,1,4,6,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,7,1,5,2,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,1,5,2,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,1,5,4,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,1,5,4,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,1,5,6,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,1,5,6,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,7,1,6,2,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,1,6,2,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,1,6,4,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,1,6,4,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,1,6,5,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,1,6,5,4,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,7,2,1,4,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,7,2,1,4,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,2,1,5,4,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,2,1,5,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,2,1,6,4,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,2,1,6,5,4]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,2,4,1,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,2,4,1,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,2,4,5,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,2,4,5,6,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,2,4,6,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,2,4,6,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,7,2,5,1,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,2,5,1,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,2,5,4,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,2,5,4,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,2,5,6,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,2,5,6,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,7,2,6,1,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,2,6,1,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,2,6,4,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,2,6,4,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,2,6,5,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,2,6,5,4,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,7,4,1,2,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,7,4,1,2,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,4,1,5,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,1,5,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,4,1,6,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,1,6,5,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,4,2,1,5,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,7,4,2,1,6,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,4,2,5,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,2,5,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,4,2,6,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,2,6,5,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,4,5,1,2,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,4,5,1,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,4,5,2,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,5,2,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,4,5,6,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [3,7,4,5,6,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [3,7,4,6,1,2,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,4,6,1,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,4,6,2,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,6,2,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,4,6,5,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,4,6,5,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,7,5,1,2,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,7,5,1,2,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,5,1,4,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,1,4,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,5,1,6,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,1,6,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,5,2,1,4,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,7,5,2,1,6,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,5,2,4,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,2,4,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,5,2,6,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,2,6,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,5,4,1,2,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,7,5,4,1,6,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,5,4,2,1,6]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,7,5,4,2,6,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,5,4,6,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,4,6,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,5,6,1,2,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [3,7,5,6,1,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,5,6,2,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,6,2,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [3,7,5,6,4,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,5,6,4,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [3,7,6,1,2,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [3,7,6,1,2,5,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,6,1,4,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,6,1,4,5,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,6,1,5,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,6,1,5,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,6,2,1,4,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,7,6,2,1,5,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,6,2,4,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,6,2,4,5,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [3,7,6,2,5,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,6,2,5,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,6,4,1,2,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,7,6,4,1,5,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,6,4,2,1,5]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,7,6,4,2,5,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,6,4,5,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [3,7,6,4,5,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [3,7,6,5,1,2,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [3,7,6,5,1,4,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,6,5,2,1,4]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,7,6,5,2,4,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [3,7,6,5,4,1,2]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [3,7,6,5,4,2,1]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [4,1,2,3,5,6,7]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [4,1,2,3,5,7,6]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,1,2,3,6,5,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,2,3,6,7,5]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,1,2,3,7,5,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,2,3,7,6,5]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,1,2,5,3,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,2,5,3,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,2,5,6,3,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,2,5,6,7,3]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,1,2,5,7,3,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,2,5,7,6,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,1,2,6,3,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,2,6,3,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,2,6,5,3,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,2,6,5,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,2,6,7,3,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,2,6,7,5,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,1,2,7,3,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,2,7,3,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,2,7,5,3,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,2,7,5,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,2,7,6,3,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,2,7,6,5,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,1,3,2,5,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,1,3,2,5,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,2,6,5,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,3,2,6,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,2,7,5,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,3,2,7,6,5]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,3,5,2,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,3,5,2,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,5,6,2,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,3,5,6,7,2]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,1,3,5,7,2,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,3,5,7,6,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,1,3,6,2,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,3,6,2,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,6,5,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,3,6,5,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,6,7,2,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,3,6,7,5,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,1,3,7,2,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,3,7,2,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,7,5,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,3,7,5,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,3,7,6,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,3,7,6,5,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,1,5,2,3,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,1,5,2,3,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,2,6,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,5,2,6,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,2,7,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,5,2,7,6,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,5,3,2,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,1,5,3,2,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,5,3,6,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,5,3,6,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,3,7,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,5,3,7,6,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,5,6,2,3,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,5,6,2,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,6,3,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,5,6,3,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,6,7,2,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,5,6,7,3,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,1,5,7,2,3,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,5,7,2,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,7,3,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,5,7,3,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,5,7,6,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,5,7,6,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,1,6,2,3,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,1,6,2,3,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,6,2,5,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,6,2,5,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,6,2,7,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,6,2,7,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,6,3,2,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,1,6,3,2,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,6,3,5,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,6,3,5,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,6,3,7,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,6,3,7,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,6,5,2,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,1,6,5,2,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,6,5,3,2,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,6,5,3,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,6,5,7,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,6,5,7,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,6,7,2,3,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,1,6,7,2,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,6,7,3,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,6,7,3,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,6,7,5,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,1,6,7,5,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,1,7,2,3,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,1,7,2,3,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,7,2,5,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,7,2,5,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,7,2,6,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,7,2,6,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,7,3,2,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,1,7,3,2,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,7,3,5,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,7,3,5,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,1,7,3,6,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,7,3,6,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,7,5,2,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,1,7,5,2,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,7,5,3,2,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,7,5,3,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,7,5,6,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,1,7,5,6,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,1,7,6,2,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,1,7,6,2,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,7,6,3,2,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,7,6,3,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,1,7,6,5,2,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,1,7,6,5,3,2]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [4,2,1,3,5,6,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [4,2,1,3,5,7,6]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,2,1,3,6,5,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,1,3,6,7,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,2,1,3,7,5,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,1,3,7,6,5]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,2,1,5,3,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,2,1,5,3,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,1,5,6,3,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,1,5,6,7,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,2,1,5,7,3,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,1,5,7,6,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,2,1,6,3,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,2,1,6,3,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,1,6,5,3,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,1,6,5,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,1,6,7,3,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,1,6,7,5,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,2,1,7,3,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,2,1,7,3,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,1,7,5,3,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,1,7,5,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,1,7,6,3,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,1,7,6,5,3]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,2,3,1,5,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,2,3,1,5,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,1,6,5,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,3,1,6,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,1,7,5,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,3,1,7,6,5]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,3,5,1,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,3,5,1,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,5,6,1,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,3,5,6,7,1]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,2,3,5,7,1,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,3,5,7,6,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,2,3,6,1,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,3,6,1,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,6,5,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,3,6,5,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,6,7,1,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,3,6,7,5,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,2,3,7,1,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,3,7,1,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,7,5,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,3,7,5,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,3,7,6,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,3,7,6,5,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,2,5,1,3,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,2,5,1,3,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,1,6,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,5,1,6,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,1,7,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,5,1,7,6,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,5,3,1,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,5,3,1,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,5,3,6,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,5,3,6,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,3,7,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,5,3,7,6,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,5,6,1,3,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,5,6,1,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,6,3,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,5,6,3,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,6,7,1,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,5,6,7,3,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,2,5,7,1,3,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,5,7,1,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,7,3,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,5,7,3,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,5,7,6,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,5,7,6,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,2,6,1,3,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,2,6,1,3,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,6,1,5,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,6,1,5,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,6,1,7,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,6,1,7,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,6,3,1,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,6,3,1,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,6,3,5,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,6,3,5,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,6,3,7,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,6,3,7,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,6,5,1,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,6,5,1,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,6,5,3,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,6,5,3,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,6,5,7,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,6,5,7,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,6,7,1,3,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,2,6,7,1,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,6,7,3,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,6,7,3,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,6,7,5,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,2,6,7,5,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,2,7,1,3,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,2,7,1,3,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,7,1,5,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,7,1,5,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,7,1,6,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,7,1,6,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,7,3,1,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,7,3,1,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,7,3,5,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,7,3,5,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,2,7,3,6,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,7,3,6,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,7,5,1,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,7,5,1,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,7,5,3,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,7,5,3,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,7,5,6,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,2,7,5,6,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,2,7,6,1,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,2,7,6,1,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,7,6,3,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,7,6,3,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,2,7,6,5,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,2,7,6,5,3,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [4,3,1,2,5,6,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [4,3,1,2,5,7,6]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,3,1,2,6,5,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,1,2,6,7,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,3,1,2,7,5,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,1,2,7,6,5]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,3,1,5,2,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,3,1,5,2,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,1,5,6,2,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,1,5,6,7,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,3,1,5,7,2,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,1,5,7,6,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,3,1,6,2,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,3,1,6,2,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,1,6,5,2,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,1,6,5,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,1,6,7,2,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,1,6,7,5,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,3,1,7,2,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,3,1,7,2,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,1,7,5,2,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,1,7,5,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,1,7,6,2,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,1,7,6,5,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,3,2,1,5,6,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [4,3,2,1,5,7,6]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,3,2,1,6,5,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,3,2,1,6,7,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,3,2,1,7,5,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,3,2,1,7,6,5]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,3,2,5,1,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,3,2,5,1,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,2,5,6,1,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,2,5,6,7,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,3,2,5,7,1,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,2,5,7,6,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,3,2,6,1,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,3,2,6,1,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,2,6,5,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,2,6,5,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,2,6,7,1,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,2,6,7,5,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,3,2,7,1,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,3,2,7,1,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,2,7,5,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,2,7,5,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,2,7,6,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,2,7,6,5,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,3,5,1,2,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,3,5,1,2,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,1,6,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,5,1,6,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,1,7,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,5,1,7,6,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,5,2,1,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,5,2,1,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,5,2,6,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,5,2,6,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,2,7,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,5,2,7,6,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,5,6,1,2,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,5,6,1,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,6,2,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,3,5,6,2,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,6,7,1,2]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,3,5,6,7,2,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,3,5,7,1,2,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,5,7,1,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,7,2,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,3,5,7,2,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,5,7,6,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,3,5,7,6,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,3,6,1,2,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,3,6,1,2,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,6,1,5,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,6,1,5,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,6,1,7,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,6,1,7,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,6,2,1,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,6,2,1,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,6,2,5,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,6,2,5,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,6,2,7,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,6,2,7,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,6,5,1,2,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,6,5,1,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,6,5,2,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,3,6,5,2,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,6,5,7,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,6,5,7,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,6,7,1,2,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,3,6,7,1,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,6,7,2,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,3,6,7,2,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,6,7,5,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,3,6,7,5,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,3,7,1,2,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,3,7,1,2,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,7,1,5,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,7,1,5,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,7,1,6,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,7,1,6,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,7,2,1,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,7,2,1,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,7,2,5,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,7,2,5,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,3,7,2,6,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,7,2,6,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,7,5,1,2,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,7,5,1,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,7,5,2,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,3,7,5,2,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,7,5,6,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,3,7,5,6,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,3,7,6,1,2,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,3,7,6,1,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,7,6,2,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,3,7,6,2,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,3,7,6,5,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,3,7,6,5,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [4,5,1,2,3,6,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [4,5,1,2,3,7,6]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,5,1,2,6,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,1,2,6,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,5,1,2,7,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,1,2,7,6,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,1,3,2,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,1,3,2,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,1,3,6,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,1,3,6,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,5,1,3,7,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,1,3,7,6,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,1,6,2,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,1,6,2,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,1,6,3,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,1,6,3,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,1,6,7,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,1,6,7,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,1,7,2,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,1,7,2,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,1,7,3,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,1,7,3,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,1,7,6,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,1,7,6,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,5,2,1,3,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,5,2,1,3,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,5,2,1,6,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,2,1,6,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,5,2,1,7,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,2,1,7,6,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,2,3,1,6,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,2,3,1,7,6]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,2,3,6,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,2,3,6,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,5,2,3,7,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,2,3,7,6,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,2,6,1,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,2,6,1,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,2,6,3,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,2,6,3,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,2,6,7,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,2,6,7,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,2,7,1,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,2,7,1,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,2,7,3,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,2,7,3,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,2,7,6,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,2,7,6,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,5,3,1,2,6,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,5,3,1,2,7,6]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,5,3,1,6,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,1,6,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,5,3,1,7,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,1,7,6,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,3,2,1,6,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,5,3,2,1,7,6]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,5,3,2,6,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,2,6,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,5,3,2,7,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,2,7,6,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,3,6,1,2,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,3,6,1,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,3,6,2,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,6,2,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,3,6,7,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,5,3,6,7,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,3,7,1,2,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,3,7,1,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,3,7,2,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,7,2,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,5,3,7,6,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,5,3,7,6,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,5,6,1,2,3,7]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,5,6,1,2,7,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,6,1,3,2,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,6,1,3,7,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,6,1,7,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,6,1,7,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,5,6,2,1,3,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,5,6,2,1,7,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,6,2,3,1,7]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,6,2,3,7,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,6,2,7,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,6,2,7,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,5,6,3,1,2,7]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,5,6,3,1,7,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,6,3,2,1,7]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,5,6,3,2,7,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,6,3,7,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,6,3,7,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,5,6,7,1,2,3]=>000100=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,5,6,7,1,3,2]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,5,6,7,2,1,3]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,5,6,7,2,3,1]=>000101=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,5,6,7,3,1,2]=>000110=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,5,6,7,3,2,1]=>000111=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [4,5,7,1,2,3,6]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,5,7,1,2,6,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,7,1,3,2,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,7,1,3,6,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,7,1,6,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,7,1,6,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,5,7,2,1,3,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,5,7,2,1,6,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,7,2,3,1,6]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,7,2,3,6,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,5,7,2,6,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,7,2,6,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,5,7,3,1,2,6]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,5,7,3,1,6,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,7,3,2,1,6]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,5,7,3,2,6,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,7,3,6,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,5,7,3,6,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,5,7,6,1,2,3]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,5,7,6,1,3,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,7,6,2,1,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,5,7,6,2,3,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,5,7,6,3,1,2]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,5,7,6,3,2,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [4,6,1,2,3,5,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [4,6,1,2,3,7,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,1,2,5,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,1,2,5,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,1,2,7,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,1,2,7,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,1,3,2,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,1,3,2,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,1,3,5,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,1,3,5,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,1,3,7,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,1,3,7,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,1,5,2,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,1,5,2,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,1,5,3,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,1,5,3,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,1,5,7,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,1,5,7,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,1,7,2,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,1,7,2,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,1,7,3,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,1,7,3,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,1,7,5,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,1,7,5,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,6,2,1,3,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,6,2,1,3,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,2,1,5,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,2,1,5,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,2,1,7,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,2,1,7,5,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,2,3,1,5,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,2,3,1,7,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,2,3,5,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,2,3,5,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,2,3,7,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,2,3,7,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,2,5,1,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,2,5,1,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,2,5,3,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,2,5,3,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,2,5,7,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,2,5,7,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,2,7,1,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,2,7,1,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,2,7,3,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,2,7,3,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,2,7,5,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,2,7,5,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,6,3,1,2,5,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,6,3,1,2,7,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,3,1,5,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,1,5,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,3,1,7,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,1,7,5,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,3,2,1,5,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,6,3,2,1,7,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,3,2,5,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,2,5,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,3,2,7,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,2,7,5,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,3,5,1,2,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,3,5,1,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,3,5,2,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,5,2,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,3,5,7,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,6,3,5,7,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,3,7,1,2,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,3,7,1,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,3,7,2,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,7,2,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,3,7,5,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,3,7,5,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,6,5,1,2,3,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,6,5,1,2,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,5,1,3,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,1,3,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,5,1,7,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,1,7,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,5,2,1,3,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,6,5,2,1,7,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,5,2,3,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,2,3,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,6,5,2,7,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,2,7,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,5,3,1,2,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,6,5,3,1,7,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,5,3,2,1,7]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,6,5,3,2,7,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,6,5,3,7,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,3,7,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,5,7,1,2,3]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,5,7,1,3,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,5,7,2,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,7,2,3,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,6,5,7,3,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,6,5,7,3,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,6,7,1,2,3,5]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [4,6,7,1,2,5,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,7,1,3,2,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,7,1,3,5,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,7,1,5,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,7,1,5,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,6,7,2,1,3,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,6,7,2,1,5,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,7,2,3,1,5]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,7,2,3,5,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,6,7,2,5,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,7,2,5,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,6,7,3,1,2,5]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,6,7,3,1,5,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,7,3,2,1,5]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,6,7,3,2,5,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,7,3,5,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,6,7,3,5,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [4,6,7,5,1,2,3]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [4,6,7,5,1,3,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,7,5,2,1,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,6,7,5,2,3,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,6,7,5,3,1,2]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,6,7,5,3,2,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [4,7,1,2,3,5,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [4,7,1,2,3,6,5]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,1,2,5,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,1,2,5,6,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,1,2,6,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,1,2,6,5,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,7,1,3,2,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,1,3,2,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,1,3,5,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,1,3,5,6,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,1,3,6,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,1,3,6,5,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,7,1,5,2,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,1,5,2,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,1,5,3,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,1,5,3,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,1,5,6,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,1,5,6,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,7,1,6,2,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,1,6,2,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,1,6,3,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,1,6,3,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,1,6,5,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,1,6,5,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,7,2,1,3,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,7,2,1,3,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,2,1,5,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,2,1,5,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,2,1,6,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,2,1,6,5,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,2,3,1,5,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,2,3,1,6,5]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,2,3,5,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,2,3,5,6,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,2,3,6,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,2,3,6,5,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,7,2,5,1,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,2,5,1,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,2,5,3,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,2,5,3,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,2,5,6,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,2,5,6,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,7,2,6,1,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,2,6,1,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,2,6,3,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,2,6,3,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,2,6,5,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,2,6,5,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,7,3,1,2,5,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,7,3,1,2,6,5]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,3,1,5,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,1,5,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,3,1,6,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,1,6,5,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,3,2,1,5,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,7,3,2,1,6,5]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,3,2,5,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,2,5,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,3,2,6,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,2,6,5,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,3,5,1,2,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,3,5,1,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,3,5,2,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,5,2,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,3,5,6,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [4,7,3,5,6,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [4,7,3,6,1,2,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,3,6,1,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,3,6,2,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,6,2,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,3,6,5,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,3,6,5,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,7,5,1,2,3,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,7,5,1,2,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,5,1,3,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,1,3,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,5,1,6,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,1,6,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,5,2,1,3,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,7,5,2,1,6,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,5,2,3,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,2,3,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,5,2,6,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,2,6,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,5,3,1,2,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,7,5,3,1,6,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,5,3,2,1,6]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,7,5,3,2,6,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,5,3,6,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,3,6,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,5,6,1,2,3]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [4,7,5,6,1,3,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,5,6,2,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,6,2,3,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [4,7,5,6,3,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,5,6,3,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [4,7,6,1,2,3,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [4,7,6,1,2,5,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,6,1,3,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,6,1,3,5,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,6,1,5,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,6,1,5,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,6,2,1,3,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,7,6,2,1,5,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,6,2,3,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,6,2,3,5,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [4,7,6,2,5,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,6,2,5,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,6,3,1,2,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,7,6,3,1,5,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,6,3,2,1,5]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,7,6,3,2,5,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,6,3,5,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [4,7,6,3,5,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [4,7,6,5,1,2,3]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [4,7,6,5,1,3,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,6,5,2,1,3]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,7,6,5,2,3,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [4,7,6,5,3,1,2]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [4,7,6,5,3,2,1]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [5,1,2,3,4,6,7]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [5,1,2,3,4,7,6]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,1,2,3,6,4,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,2,3,6,7,4]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,1,2,3,7,4,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,2,3,7,6,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,1,2,4,3,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,2,4,3,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,2,4,6,3,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,2,4,6,7,3]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,1,2,4,7,3,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,2,4,7,6,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,1,2,6,3,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,2,6,3,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,2,6,4,3,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,2,6,4,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,2,6,7,3,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,2,6,7,4,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,1,2,7,3,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,2,7,3,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,2,7,4,3,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,2,7,4,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,2,7,6,3,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,2,7,6,4,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,1,3,2,4,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,1,3,2,4,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,2,6,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,3,2,6,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,2,7,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,3,2,7,6,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,3,4,2,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,3,4,2,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,4,6,2,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,3,4,6,7,2]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,1,3,4,7,2,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,3,4,7,6,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,1,3,6,2,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,3,6,2,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,6,4,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,3,6,4,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,6,7,2,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,3,6,7,4,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,1,3,7,2,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,3,7,2,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,7,4,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,3,7,4,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,3,7,6,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,3,7,6,4,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,1,4,2,3,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,1,4,2,3,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,2,6,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,4,2,6,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,2,7,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,4,2,7,6,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,4,3,2,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,1,4,3,2,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,4,3,6,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,4,3,6,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,3,7,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,4,3,7,6,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,4,6,2,3,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,4,6,2,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,6,3,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,4,6,3,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,6,7,2,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,4,6,7,3,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,1,4,7,2,3,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,4,7,2,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,7,3,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,4,7,3,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,4,7,6,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,4,7,6,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,1,6,2,3,4,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,1,6,2,3,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,6,2,4,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,6,2,4,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,6,2,7,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,6,2,7,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,6,3,2,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,1,6,3,2,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,6,3,4,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,6,3,4,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,6,3,7,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,6,3,7,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,6,4,2,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,1,6,4,2,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,6,4,3,2,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,6,4,3,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,6,4,7,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,6,4,7,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,6,7,2,3,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,1,6,7,2,4,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,6,7,3,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,6,7,3,4,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,6,7,4,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,1,6,7,4,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,1,7,2,3,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,1,7,2,3,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,7,2,4,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,7,2,4,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,7,2,6,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,7,2,6,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,7,3,2,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,1,7,3,2,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,7,3,4,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,7,3,4,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,1,7,3,6,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,7,3,6,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,7,4,2,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,1,7,4,2,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,7,4,3,2,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,7,4,3,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,7,4,6,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,1,7,4,6,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,1,7,6,2,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,1,7,6,2,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,7,6,3,2,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,7,6,3,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,1,7,6,4,2,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,1,7,6,4,3,2]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,2,1,3,4,6,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [5,2,1,3,4,7,6]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,2,1,3,6,4,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,1,3,6,7,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,2,1,3,7,4,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,1,3,7,6,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,2,1,4,3,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,2,1,4,3,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,1,4,6,3,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,1,4,6,7,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,2,1,4,7,3,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,1,4,7,6,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,2,1,6,3,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,2,1,6,3,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,1,6,4,3,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,1,6,4,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,1,6,7,3,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,1,6,7,4,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,2,1,7,3,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,2,1,7,3,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,1,7,4,3,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,1,7,4,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,1,7,6,3,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,1,7,6,4,3]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,2,3,1,4,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,2,3,1,4,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,1,6,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,3,1,6,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,1,7,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,3,1,7,6,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,3,4,1,6,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,3,4,1,7,6]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,4,6,1,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,3,4,6,7,1]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,2,3,4,7,1,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,3,4,7,6,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,2,3,6,1,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,3,6,1,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,6,4,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,3,6,4,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,6,7,1,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,3,6,7,4,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,2,3,7,1,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,3,7,1,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,7,4,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,3,7,4,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,3,7,6,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,3,7,6,4,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,2,4,1,3,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,2,4,1,3,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,1,6,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,4,1,6,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,1,7,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,4,1,7,6,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,4,3,1,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,4,3,1,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,4,3,6,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,4,3,6,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,3,7,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,4,3,7,6,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,4,6,1,3,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,4,6,1,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,6,3,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,4,6,3,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,6,7,1,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,4,6,7,3,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,2,4,7,1,3,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,4,7,1,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,7,3,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,4,7,3,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,4,7,6,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,4,7,6,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,2,6,1,3,4,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,2,6,1,3,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,6,1,4,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,6,1,4,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,6,1,7,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,6,1,7,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,6,3,1,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,6,3,1,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,6,3,4,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,6,3,4,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,6,3,7,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,6,3,7,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,6,4,1,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,6,4,1,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,6,4,3,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,6,4,3,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,6,4,7,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,6,4,7,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,6,7,1,3,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,2,6,7,1,4,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,6,7,3,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,6,7,3,4,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,6,7,4,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,2,6,7,4,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,2,7,1,3,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,2,7,1,3,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,7,1,4,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,7,1,4,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,7,1,6,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,7,1,6,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,7,3,1,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,7,3,1,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,7,3,4,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,7,3,4,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,2,7,3,6,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,7,3,6,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,7,4,1,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,7,4,1,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,7,4,3,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,7,4,3,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,7,4,6,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,2,7,4,6,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,2,7,6,1,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,2,7,6,1,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,7,6,3,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,7,6,3,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,2,7,6,4,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,2,7,6,4,3,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,3,1,2,4,6,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [5,3,1,2,4,7,6]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,3,1,2,6,4,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,1,2,6,7,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,3,1,2,7,4,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,1,2,7,6,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,3,1,4,2,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,3,1,4,2,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,1,4,6,2,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,1,4,6,7,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,3,1,4,7,2,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,1,4,7,6,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,3,1,6,2,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,3,1,6,2,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,1,6,4,2,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,1,6,4,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,1,6,7,2,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,1,6,7,4,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,3,1,7,2,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,3,1,7,2,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,1,7,4,2,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,1,7,4,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,1,7,6,2,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,1,7,6,4,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,3,2,1,4,6,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [5,3,2,1,4,7,6]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,3,2,1,6,4,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,3,2,1,6,7,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,3,2,1,7,4,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,3,2,1,7,6,4]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,3,2,4,1,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,3,2,4,1,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,2,4,6,1,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,2,4,6,7,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,3,2,4,7,1,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,2,4,7,6,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,3,2,6,1,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,3,2,6,1,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,2,6,4,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,2,6,4,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,2,6,7,1,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,2,6,7,4,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,3,2,7,1,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,3,2,7,1,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,2,7,4,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,2,7,4,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,2,7,6,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,2,7,6,4,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,3,4,1,2,6,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,3,4,1,2,7,6]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,1,6,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,4,1,6,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,1,7,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,4,1,7,6,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,4,2,1,6,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,4,2,1,7,6]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,4,2,6,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,4,2,6,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,2,7,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,4,2,7,6,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,4,6,1,2,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,4,6,1,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,6,2,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,3,4,6,2,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,6,7,1,2]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,3,4,6,7,2,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,3,4,7,1,2,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,4,7,1,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,7,2,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,3,4,7,2,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,4,7,6,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,3,4,7,6,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,3,6,1,2,4,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,3,6,1,2,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,6,1,4,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,6,1,4,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,6,1,7,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,6,1,7,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,6,2,1,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,6,2,1,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,6,2,4,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,6,2,4,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,6,2,7,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,6,2,7,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,6,4,1,2,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,6,4,1,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,6,4,2,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,3,6,4,2,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,6,4,7,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,6,4,7,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,6,7,1,2,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,3,6,7,1,4,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,6,7,2,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,3,6,7,2,4,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,6,7,4,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,3,6,7,4,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,3,7,1,2,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,3,7,1,2,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,7,1,4,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,7,1,4,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,7,1,6,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,7,1,6,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,7,2,1,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,7,2,1,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,7,2,4,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,7,2,4,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,3,7,2,6,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,7,2,6,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,7,4,1,2,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,7,4,1,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,7,4,2,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,3,7,4,2,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,7,4,6,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,3,7,4,6,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,3,7,6,1,2,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,3,7,6,1,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,7,6,2,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,3,7,6,2,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,3,7,6,4,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,3,7,6,4,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,4,1,2,3,6,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [5,4,1,2,3,7,6]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,4,1,2,6,3,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,1,2,6,7,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,4,1,2,7,3,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,1,2,7,6,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,4,1,3,2,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,1,3,2,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,1,3,6,2,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,1,3,6,7,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,4,1,3,7,2,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,1,3,7,6,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,4,1,6,2,3,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,1,6,2,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,1,6,3,2,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,1,6,3,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,1,6,7,2,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,1,6,7,3,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,4,1,7,2,3,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,1,7,2,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,1,7,3,2,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,1,7,3,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,1,7,6,2,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,1,7,6,3,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,4,2,1,3,6,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [5,4,2,1,3,7,6]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,4,2,1,6,3,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,2,1,6,7,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,4,2,1,7,3,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,2,1,7,6,3]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,4,2,3,1,6,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,2,3,1,7,6]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,2,3,6,1,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,2,3,6,7,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,4,2,3,7,1,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,2,3,7,6,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,4,2,6,1,3,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,2,6,1,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,2,6,3,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,2,6,3,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,2,6,7,1,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,2,6,7,3,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,4,2,7,1,3,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,2,7,1,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,2,7,3,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,2,7,3,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,2,7,6,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,2,7,6,3,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,4,3,1,2,6,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [5,4,3,1,2,7,6]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,4,3,1,6,2,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,3,1,6,7,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,4,3,1,7,2,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,3,1,7,6,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,4,3,2,1,6,7]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [5,4,3,2,1,7,6]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,4,3,2,6,1,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,3,2,6,7,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,4,3,2,7,1,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,3,2,7,6,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,4,3,6,1,2,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,3,6,1,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,3,6,2,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,3,6,2,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,3,6,7,1,2]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,3,6,7,2,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,4,3,7,1,2,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,4,3,7,1,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,3,7,2,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,3,7,2,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,3,7,6,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,3,7,6,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,4,6,1,2,3,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,6,1,2,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,6,1,3,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,6,1,3,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,6,1,7,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,6,1,7,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,6,2,1,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,6,2,1,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,6,2,3,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,6,2,3,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,6,2,7,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,6,2,7,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,6,3,1,2,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,6,3,1,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,6,3,2,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,4,6,3,2,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,6,3,7,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,6,3,7,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,6,7,1,2,3]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,4,6,7,1,3,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,6,7,2,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,4,6,7,2,3,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,6,7,3,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,4,6,7,3,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,4,7,1,2,3,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,4,7,1,2,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,7,1,3,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,7,1,3,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,7,1,6,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,7,1,6,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,7,2,1,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,7,2,1,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,7,2,3,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,7,2,3,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,4,7,2,6,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,7,2,6,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,7,3,1,2,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,7,3,1,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,7,3,2,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,4,7,3,2,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,7,3,6,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,4,7,3,6,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,4,7,6,1,2,3]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,4,7,6,1,3,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,7,6,2,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,4,7,6,2,3,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,4,7,6,3,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,4,7,6,3,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,6,1,2,3,4,7]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,6,1,2,3,7,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,1,2,4,3,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,1,2,4,7,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,1,2,7,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,1,2,7,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,1,3,2,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,1,3,2,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,1,3,4,2,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,1,3,4,7,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,1,3,7,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,1,3,7,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,1,4,2,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,1,4,2,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,1,4,3,2,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,1,4,3,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,1,4,7,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,1,4,7,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,1,7,2,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,1,7,2,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,1,7,3,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,1,7,3,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,1,7,4,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,1,7,4,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,6,2,1,3,4,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,6,2,1,3,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,2,1,4,3,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,2,1,4,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,2,1,7,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,2,1,7,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,2,3,1,4,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,2,3,1,7,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,2,3,4,1,7]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,2,3,4,7,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,2,3,7,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,2,3,7,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,2,4,1,3,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,2,4,1,7,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,2,4,3,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,2,4,3,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,2,4,7,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,2,4,7,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,2,7,1,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,2,7,1,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,2,7,3,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,2,7,3,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,2,7,4,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,2,7,4,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,6,3,1,2,4,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,6,3,1,2,7,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,3,1,4,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,1,4,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,3,1,7,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,1,7,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,3,2,1,4,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,6,3,2,1,7,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,3,2,4,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,2,4,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,3,2,7,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,2,7,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,3,4,1,2,7]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,3,4,1,7,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,3,4,2,1,7]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,4,2,7,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,3,4,7,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,6,3,4,7,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,3,7,1,2,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,3,7,1,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,3,7,2,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,7,2,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,3,7,4,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,3,7,4,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,6,4,1,2,3,7]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,6,4,1,2,7,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,4,1,3,2,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,1,3,7,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,4,1,7,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,1,7,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,4,2,1,3,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,6,4,2,1,7,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,4,2,3,1,7]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,2,3,7,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,6,4,2,7,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,2,7,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,4,3,1,2,7]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,6,4,3,1,7,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,4,3,2,1,7]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,6,4,3,2,7,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,6,4,3,7,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,3,7,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,4,7,1,2,3]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,4,7,1,3,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,4,7,2,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,7,2,3,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,6,4,7,3,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,6,4,7,3,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,6,7,1,2,3,4]=>001000=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [5,6,7,1,2,4,3]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,7,1,3,2,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,7,1,3,4,2]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,7,1,4,2,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,7,1,4,3,2]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,6,7,2,1,3,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,6,7,2,1,4,3]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,7,2,3,1,4]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,7,2,3,4,1]=>001001=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,6,7,2,4,1,3]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,7,2,4,3,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,6,7,3,1,2,4]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,6,7,3,1,4,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,7,3,2,1,4]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,6,7,3,2,4,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,7,3,4,1,2]=>001010=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,6,7,3,4,2,1]=>001011=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [5,6,7,4,1,2,3]=>001100=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [5,6,7,4,1,3,2]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,7,4,2,1,3]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,6,7,4,2,3,1]=>001101=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,6,7,4,3,1,2]=>001110=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,6,7,4,3,2,1]=>001111=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [5,7,1,2,3,4,6]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [5,7,1,2,3,6,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,1,2,4,3,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,1,2,4,6,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,1,2,6,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,1,2,6,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,7,1,3,2,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,1,3,2,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,1,3,4,2,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,1,3,4,6,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,1,3,6,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,1,3,6,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,7,1,4,2,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,1,4,2,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,1,4,3,2,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,1,4,3,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,1,4,6,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,1,4,6,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,7,1,6,2,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,1,6,2,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,1,6,3,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,1,6,3,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,1,6,4,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,1,6,4,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,7,2,1,3,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,7,2,1,3,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,2,1,4,3,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,2,1,4,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,2,1,6,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,2,1,6,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,2,3,1,4,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,2,3,1,6,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,2,3,4,1,6]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,2,3,4,6,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,2,3,6,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,2,3,6,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,7,2,4,1,3,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,2,4,1,6,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,2,4,3,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,2,4,3,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,2,4,6,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,2,4,6,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,7,2,6,1,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,2,6,1,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,2,6,3,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,2,6,3,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,2,6,4,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,2,6,4,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,7,3,1,2,4,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,7,3,1,2,6,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,3,1,4,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,1,4,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,3,1,6,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,1,6,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,3,2,1,4,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,7,3,2,1,6,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,3,2,4,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,2,4,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,3,2,6,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,2,6,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,3,4,1,2,6]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,3,4,1,6,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,3,4,2,1,6]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,4,2,6,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,3,4,6,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [5,7,3,4,6,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [5,7,3,6,1,2,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,3,6,1,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,3,6,2,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,6,2,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,3,6,4,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,3,6,4,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,7,4,1,2,3,6]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,7,4,1,2,6,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,4,1,3,2,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,1,3,6,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,4,1,6,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,1,6,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,4,2,1,3,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,7,4,2,1,6,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,4,2,3,1,6]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,2,3,6,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,4,2,6,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,2,6,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,4,3,1,2,6]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,7,4,3,1,6,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,4,3,2,1,6]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,7,4,3,2,6,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,4,3,6,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,3,6,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,4,6,1,2,3]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [5,7,4,6,1,3,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,4,6,2,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,6,2,3,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [5,7,4,6,3,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,4,6,3,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [5,7,6,1,2,3,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [5,7,6,1,2,4,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,6,1,3,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,6,1,3,4,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,6,1,4,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,6,1,4,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,6,2,1,3,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,7,6,2,1,4,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,6,2,3,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,6,2,3,4,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [5,7,6,2,4,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,6,2,4,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,6,3,1,2,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,7,6,3,1,4,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,6,3,2,1,4]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,7,6,3,2,4,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,6,3,4,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [5,7,6,3,4,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [5,7,6,4,1,2,3]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [5,7,6,4,1,3,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,6,4,2,1,3]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,7,6,4,2,3,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [5,7,6,4,3,1,2]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [5,7,6,4,3,2,1]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [6,1,2,3,4,5,7]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [6,1,2,3,4,7,5]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,1,2,3,5,4,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,2,3,5,7,4]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,1,2,3,7,4,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,2,3,7,5,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,1,2,4,3,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,2,4,3,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,2,4,5,3,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,2,4,5,7,3]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,1,2,4,7,3,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,2,4,7,5,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,1,2,5,3,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,2,5,3,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,2,5,4,3,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,2,5,4,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,2,5,7,3,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,2,5,7,4,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,1,2,7,3,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,2,7,3,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,2,7,4,3,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,2,7,4,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,2,7,5,3,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,2,7,5,4,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,1,3,2,4,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,1,3,2,4,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,2,5,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,3,2,5,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,2,7,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,3,2,7,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,3,4,2,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,3,4,2,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,4,5,2,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,3,4,5,7,2]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,1,3,4,7,2,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,3,4,7,5,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,1,3,5,2,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,3,5,2,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,5,4,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,3,5,4,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,5,7,2,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,3,5,7,4,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,1,3,7,2,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,3,7,2,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,7,4,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,3,7,4,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,3,7,5,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,3,7,5,4,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,1,4,2,3,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,1,4,2,3,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,2,5,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,4,2,5,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,2,7,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,4,2,7,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,4,3,2,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,1,4,3,2,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,4,3,5,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,4,3,5,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,3,7,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,4,3,7,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,4,5,2,3,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,4,5,2,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,5,3,2,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,4,5,3,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,5,7,2,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,4,5,7,3,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,1,4,7,2,3,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,4,7,2,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,7,3,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,4,7,3,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,4,7,5,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,4,7,5,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,1,5,2,3,4,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,1,5,2,3,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,5,2,4,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,5,2,4,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,5,2,7,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,5,2,7,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,5,3,2,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,1,5,3,2,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,5,3,4,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,5,3,4,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,5,3,7,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,5,3,7,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,5,4,2,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,1,5,4,2,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,5,4,3,2,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,5,4,3,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,5,4,7,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,5,4,7,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,5,7,2,3,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,1,5,7,2,4,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,5,7,3,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,5,7,3,4,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,5,7,4,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,1,5,7,4,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,1,7,2,3,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,1,7,2,3,5,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,7,2,4,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,7,2,4,5,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,7,2,5,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,7,2,5,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,7,3,2,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,1,7,3,2,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,7,3,4,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,7,3,4,5,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,1,7,3,5,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,7,3,5,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,7,4,2,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,1,7,4,2,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,7,4,3,2,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,7,4,3,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,7,4,5,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,1,7,4,5,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,1,7,5,2,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,1,7,5,2,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,7,5,3,2,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,7,5,3,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,1,7,5,4,2,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,1,7,5,4,3,2]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,2,1,3,4,5,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,2,1,3,4,7,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,2,1,3,5,4,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,1,3,5,7,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,2,1,3,7,4,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,1,3,7,5,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,2,1,4,3,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,2,1,4,3,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,1,4,5,3,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,1,4,5,7,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,2,1,4,7,3,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,1,4,7,5,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,2,1,5,3,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,2,1,5,3,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,1,5,4,3,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,1,5,4,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,1,5,7,3,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,1,5,7,4,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,2,1,7,3,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,2,1,7,3,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,1,7,4,3,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,1,7,4,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,1,7,5,3,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,1,7,5,4,3]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,2,3,1,4,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,2,3,1,4,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,1,5,4,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,3,1,5,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,1,7,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,3,1,7,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,3,4,1,5,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,3,4,1,7,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,4,5,1,7]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,3,4,5,7,1]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,2,3,4,7,1,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,3,4,7,5,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,2,3,5,1,4,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,3,5,1,7,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,5,4,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,3,5,4,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,5,7,1,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,3,5,7,4,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,2,3,7,1,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,3,7,1,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,7,4,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,3,7,4,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,3,7,5,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,3,7,5,4,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,2,4,1,3,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,2,4,1,3,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,1,5,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,4,1,5,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,1,7,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,4,1,7,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,4,3,1,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,4,3,1,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,4,3,5,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,4,3,5,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,3,7,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,4,3,7,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,4,5,1,3,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,4,5,1,7,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,5,3,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,4,5,3,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,5,7,1,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,4,5,7,3,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,2,4,7,1,3,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,4,7,1,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,7,3,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,4,7,3,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,4,7,5,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,4,7,5,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,2,5,1,3,4,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,2,5,1,3,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,5,1,4,3,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,5,1,4,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,5,1,7,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,5,1,7,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,5,3,1,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,5,3,1,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,5,3,4,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,5,3,4,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,5,3,7,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,5,3,7,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,5,4,1,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,5,4,1,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,5,4,3,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,5,4,3,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,5,4,7,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,5,4,7,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,5,7,1,3,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,2,5,7,1,4,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,5,7,3,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,5,7,3,4,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,5,7,4,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,2,5,7,4,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,2,7,1,3,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,2,7,1,3,5,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,7,1,4,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,7,1,4,5,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,7,1,5,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,7,1,5,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,7,3,1,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,7,3,1,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,7,3,4,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,7,3,4,5,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,2,7,3,5,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,7,3,5,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,7,4,1,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,7,4,1,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,7,4,3,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,7,4,3,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,7,4,5,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,2,7,4,5,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,2,7,5,1,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,2,7,5,1,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,7,5,3,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,7,5,3,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,2,7,5,4,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,2,7,5,4,3,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,3,1,2,4,5,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,3,1,2,4,7,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,3,1,2,5,4,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,1,2,5,7,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,3,1,2,7,4,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,1,2,7,5,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,3,1,4,2,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,3,1,4,2,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,1,4,5,2,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,1,4,5,7,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,3,1,4,7,2,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,1,4,7,5,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,3,1,5,2,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,3,1,5,2,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,1,5,4,2,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,1,5,4,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,1,5,7,2,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,1,5,7,4,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,3,1,7,2,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,3,1,7,2,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,1,7,4,2,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,1,7,4,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,1,7,5,2,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,1,7,5,4,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,3,2,1,4,5,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [6,3,2,1,4,7,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,3,2,1,5,4,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,3,2,1,5,7,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,3,2,1,7,4,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,3,2,1,7,5,4]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,3,2,4,1,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,3,2,4,1,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,2,4,5,1,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,2,4,5,7,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,3,2,4,7,1,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,2,4,7,5,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,3,2,5,1,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,3,2,5,1,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,2,5,4,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,2,5,4,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,2,5,7,1,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,2,5,7,4,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,3,2,7,1,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,3,2,7,1,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,2,7,4,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,2,7,4,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,2,7,5,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,2,7,5,4,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,3,4,1,2,5,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,3,4,1,2,7,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,1,5,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,4,1,5,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,1,7,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,4,1,7,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,4,2,1,5,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,4,2,1,7,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,4,2,5,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,4,2,5,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,2,7,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,4,2,7,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,4,5,1,2,7]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,4,5,1,7,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,5,2,1,7]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,3,4,5,2,7,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,5,7,1,2]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,3,4,5,7,2,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,3,4,7,1,2,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,4,7,1,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,7,2,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,3,4,7,2,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,4,7,5,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,3,4,7,5,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,3,5,1,2,4,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,3,5,1,2,7,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,5,1,4,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,5,1,4,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,5,1,7,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,5,1,7,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,5,2,1,4,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,5,2,1,7,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,5,2,4,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,5,2,4,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,5,2,7,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,5,2,7,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,5,4,1,2,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,5,4,1,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,5,4,2,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,3,5,4,2,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,5,4,7,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,5,4,7,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,5,7,1,2,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,3,5,7,1,4,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,5,7,2,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,3,5,7,2,4,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,5,7,4,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,3,5,7,4,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,3,7,1,2,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,3,7,1,2,5,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,7,1,4,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,7,1,4,5,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,7,1,5,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,7,1,5,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,7,2,1,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,7,2,1,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,7,2,4,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,7,2,4,5,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,3,7,2,5,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,7,2,5,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,7,4,1,2,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,7,4,1,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,7,4,2,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,3,7,4,2,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,7,4,5,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,3,7,4,5,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,3,7,5,1,2,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,3,7,5,1,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,7,5,2,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,3,7,5,2,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,3,7,5,4,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,3,7,5,4,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,4,1,2,3,5,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,4,1,2,3,7,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,4,1,2,5,3,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,1,2,5,7,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,4,1,2,7,3,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,1,2,7,5,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,4,1,3,2,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,1,3,2,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,1,3,5,2,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,1,3,5,7,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,4,1,3,7,2,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,1,3,7,5,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,4,1,5,2,3,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,1,5,2,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,1,5,3,2,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,1,5,3,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,1,5,7,2,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,1,5,7,3,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,4,1,7,2,3,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,1,7,2,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,1,7,3,2,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,1,7,3,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,1,7,5,2,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,1,7,5,3,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,4,2,1,3,5,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [6,4,2,1,3,7,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,4,2,1,5,3,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,2,1,5,7,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,4,2,1,7,3,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,2,1,7,5,3]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,4,2,3,1,5,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,2,3,1,7,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,2,3,5,1,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,2,3,5,7,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,4,2,3,7,1,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,2,3,7,5,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,4,2,5,1,3,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,2,5,1,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,2,5,3,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,2,5,3,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,2,5,7,1,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,2,5,7,3,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,4,2,7,1,3,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,2,7,1,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,2,7,3,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,2,7,3,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,2,7,5,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,2,7,5,3,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,4,3,1,2,5,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [6,4,3,1,2,7,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,4,3,1,5,2,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,3,1,5,7,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,4,3,1,7,2,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,3,1,7,5,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,4,3,2,1,5,7]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,4,3,2,1,7,5]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,4,3,2,5,1,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,3,2,5,7,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,4,3,2,7,1,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,3,2,7,5,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,4,3,5,1,2,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,3,5,1,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,3,5,2,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,3,5,2,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,3,5,7,1,2]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,3,5,7,2,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,4,3,7,1,2,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,4,3,7,1,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,3,7,2,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,3,7,2,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,3,7,5,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,3,7,5,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,4,5,1,2,3,7]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,5,1,2,7,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,5,1,3,2,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,5,1,3,7,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,5,1,7,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,5,1,7,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,5,2,1,3,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,5,2,1,7,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,5,2,3,1,7]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,5,2,3,7,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,5,2,7,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,5,2,7,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,5,3,1,2,7]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,5,3,1,7,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,5,3,2,1,7]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,4,5,3,2,7,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,5,3,7,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,5,3,7,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,5,7,1,2,3]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,4,5,7,1,3,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,5,7,2,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,4,5,7,2,3,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,5,7,3,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,4,5,7,3,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,4,7,1,2,3,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,4,7,1,2,5,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,7,1,3,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,7,1,3,5,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,7,1,5,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,7,1,5,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,7,2,1,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,7,2,1,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,7,2,3,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,7,2,3,5,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,4,7,2,5,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,7,2,5,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,7,3,1,2,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,7,3,1,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,7,3,2,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,4,7,3,2,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,7,3,5,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,4,7,3,5,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,4,7,5,1,2,3]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,4,7,5,1,3,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,7,5,2,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,4,7,5,2,3,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,4,7,5,3,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,4,7,5,3,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,5,1,2,3,4,7]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,5,1,2,3,7,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,5,1,2,4,3,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,1,2,4,7,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,5,1,2,7,3,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,1,2,7,4,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,5,1,3,2,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,1,3,2,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,1,3,4,2,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,1,3,4,7,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,5,1,3,7,2,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,1,3,7,4,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,5,1,4,2,3,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,1,4,2,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,1,4,3,2,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,1,4,3,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,1,4,7,2,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,1,4,7,3,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,5,1,7,2,3,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,1,7,2,4,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,1,7,3,2,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,1,7,3,4,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,1,7,4,2,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,1,7,4,3,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,2,1,3,4,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [6,5,2,1,3,7,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,2,1,4,3,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,2,1,4,7,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,2,1,7,3,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,2,1,7,4,3]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,2,3,1,4,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,2,3,1,7,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,2,3,4,1,7]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,2,3,4,7,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,5,2,3,7,1,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,2,3,7,4,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,5,2,4,1,3,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,2,4,1,7,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,2,4,3,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,2,4,3,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,2,4,7,1,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,2,4,7,3,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,5,2,7,1,3,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,2,7,1,4,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,2,7,3,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,2,7,3,4,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,2,7,4,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,2,7,4,3,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,3,1,2,4,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [6,5,3,1,2,7,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,3,1,4,2,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,3,1,4,7,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,3,1,7,2,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,3,1,7,4,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,3,2,1,4,7]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,5,3,2,1,7,4]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,5,3,2,4,1,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,3,2,4,7,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,3,2,7,1,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,3,2,7,4,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,3,4,1,2,7]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,3,4,1,7,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,3,4,2,1,7]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,3,4,2,7,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,3,4,7,1,2]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,3,4,7,2,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [6,5,3,7,1,2,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,3,7,1,4,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,3,7,2,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,3,7,2,4,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,3,7,4,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,3,7,4,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,4,1,2,3,7]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [6,5,4,1,2,7,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,4,1,3,2,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,4,1,3,7,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,4,1,7,2,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,4,1,7,3,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,4,2,1,3,7]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,5,4,2,1,7,3]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,5,4,2,3,1,7]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,4,2,3,7,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,5,4,2,7,1,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,4,2,7,3,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,4,3,1,2,7]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [6,5,4,3,1,7,2]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,5,4,3,2,1,7]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [6,5,4,3,2,7,1]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,5,4,3,7,1,2]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,4,3,7,2,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,4,7,1,2,3]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [6,5,4,7,1,3,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,4,7,2,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,4,7,2,3,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,4,7,3,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,5,4,7,3,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [6,5,7,1,2,3,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,5,7,1,2,4,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,5,7,1,3,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,5,7,1,3,4,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,5,7,1,4,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,5,7,1,4,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,7,2,1,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,7,2,1,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,5,7,2,3,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,5,7,2,3,4,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,5,7,2,4,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,5,7,2,4,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,7,3,1,2,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,7,3,1,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,5,7,3,2,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,5,7,3,2,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,5,7,3,4,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,5,7,3,4,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,5,7,4,1,2,3]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,5,7,4,1,3,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,5,7,4,2,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,5,7,4,2,3,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,5,7,4,3,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,5,7,4,3,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,7,1,2,3,4,5]=>010000=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [6,7,1,2,3,5,4]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,1,2,4,3,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,1,2,4,5,3]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,1,2,5,3,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,1,2,5,4,3]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,7,1,3,2,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,1,3,2,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,1,3,4,2,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,1,3,4,5,2]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,1,3,5,2,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,1,3,5,4,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,7,1,4,2,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,1,4,2,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,1,4,3,2,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,1,4,3,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,1,4,5,2,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,1,4,5,3,2]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,7,1,5,2,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,1,5,2,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,1,5,3,2,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,1,5,3,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,1,5,4,2,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,1,5,4,3,2]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,7,2,1,3,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,7,2,1,3,5,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,2,1,4,3,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,2,1,4,5,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,2,1,5,3,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,2,1,5,4,3]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,2,3,1,4,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,2,3,1,5,4]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,2,3,4,1,5]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,2,3,4,5,1]=>010001=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,2,3,5,1,4]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,2,3,5,4,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,7,2,4,1,3,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,2,4,1,5,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,2,4,3,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,2,4,3,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,2,4,5,1,3]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,2,4,5,3,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,7,2,5,1,3,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,2,5,1,4,3]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,2,5,3,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,2,5,3,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,2,5,4,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,2,5,4,3,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,7,3,1,2,4,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,7,3,1,2,5,4]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,3,1,4,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,1,4,5,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,3,1,5,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,1,5,4,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,3,2,1,4,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,7,3,2,1,5,4]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,3,2,4,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,2,4,5,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,3,2,5,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,2,5,4,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,3,4,1,2,5]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,3,4,1,5,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,3,4,2,1,5]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,4,2,5,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,3,4,5,1,2]=>010010=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [6,7,3,4,5,2,1]=>010011=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [6,7,3,5,1,2,4]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,3,5,1,4,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,3,5,2,1,4]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,5,2,4,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,3,5,4,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,3,5,4,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,7,4,1,2,3,5]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,7,4,1,2,5,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,4,1,3,2,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,1,3,5,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,4,1,5,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,1,5,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,4,2,1,3,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,7,4,2,1,5,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,4,2,3,1,5]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,2,3,5,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,4,2,5,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,2,5,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,4,3,1,2,5]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,7,4,3,1,5,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,4,3,2,1,5]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,7,4,3,2,5,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,4,3,5,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,3,5,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,4,5,1,2,3]=>010100=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [6,7,4,5,1,3,2]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,4,5,2,1,3]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,5,2,3,1]=>010101=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [6,7,4,5,3,1,2]=>010110=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,4,5,3,2,1]=>010111=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [6,7,5,1,2,3,4]=>011000=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [6,7,5,1,2,4,3]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,5,1,3,2,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,5,1,3,4,2]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,5,1,4,2,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,5,1,4,3,2]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,5,2,1,3,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,7,5,2,1,4,3]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,5,2,3,1,4]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,5,2,3,4,1]=>011001=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [6,7,5,2,4,1,3]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,5,2,4,3,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,5,3,1,2,4]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,7,5,3,1,4,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,5,3,2,1,4]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,7,5,3,2,4,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,5,3,4,1,2]=>011010=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [6,7,5,3,4,2,1]=>011011=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [6,7,5,4,1,2,3]=>011100=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [6,7,5,4,1,3,2]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,5,4,2,1,3]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,7,5,4,2,3,1]=>011101=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [6,7,5,4,3,1,2]=>011110=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [6,7,5,4,3,2,1]=>011111=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,1,2,3,4,5,6]=>100000=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,1,2,3,4,6,5]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [7,1,2,3,5,4,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,2,3,5,6,4]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [7,1,2,3,6,4,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,2,3,6,5,4]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,1,2,4,3,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,2,4,3,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,2,4,5,3,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,2,4,5,6,3]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [7,1,2,4,6,3,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,2,4,6,5,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,1,2,5,3,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,2,5,3,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,2,5,4,3,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,2,5,4,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,2,5,6,3,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,2,5,6,4,3]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,1,2,6,3,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,2,6,3,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,2,6,4,3,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,2,6,4,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,2,6,5,3,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,2,6,5,4,3]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,1,3,2,4,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,1,3,2,4,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,2,5,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,3,2,5,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,2,6,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,3,2,6,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,3,4,2,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,3,4,2,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,4,5,2,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,3,4,5,6,2]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [7,1,3,4,6,2,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,3,4,6,5,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,1,3,5,2,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,3,5,2,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,5,4,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,3,5,4,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,5,6,2,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,3,5,6,4,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,1,3,6,2,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,3,6,2,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,6,4,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,3,6,4,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,3,6,5,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,3,6,5,4,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,1,4,2,3,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,1,4,2,3,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,2,5,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,4,2,5,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,2,6,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,4,2,6,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,4,3,2,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,1,4,3,2,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,4,3,5,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,4,3,5,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,3,6,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,4,3,6,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,4,5,2,3,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,4,5,2,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,5,3,2,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,4,5,3,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,5,6,2,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,4,5,6,3,2]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,1,4,6,2,3,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,4,6,2,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,6,3,2,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,4,6,3,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,4,6,5,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,4,6,5,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,1,5,2,3,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,1,5,2,3,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,5,2,4,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,5,2,4,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,5,2,6,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,5,2,6,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,5,3,2,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,1,5,3,2,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,5,3,4,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,5,3,4,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,5,3,6,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,5,3,6,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,5,4,2,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,1,5,4,2,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,5,4,3,2,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,5,4,3,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,5,4,6,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,5,4,6,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,5,6,2,3,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,1,5,6,2,4,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,5,6,3,2,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,5,6,3,4,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,5,6,4,2,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,1,5,6,4,3,2]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,1,6,2,3,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,1,6,2,3,5,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,6,2,4,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,6,2,4,5,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,6,2,5,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,6,2,5,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,6,3,2,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,1,6,3,2,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,6,3,4,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,6,3,4,5,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,1,6,3,5,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,6,3,5,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,6,4,2,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,1,6,4,2,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,6,4,3,2,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,6,4,3,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,6,4,5,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,1,6,4,5,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,1,6,5,2,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,1,6,5,2,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,6,5,3,2,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,6,5,3,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,1,6,5,4,2,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,1,6,5,4,3,2]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,2,1,3,4,5,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,2,1,3,4,6,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,2,1,3,5,4,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,1,3,5,6,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,2,1,3,6,4,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,1,3,6,5,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,2,1,4,3,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,2,1,4,3,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,1,4,5,3,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,1,4,5,6,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,2,1,4,6,3,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,1,4,6,5,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,2,1,5,3,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,2,1,5,3,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,1,5,4,3,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,1,5,4,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,1,5,6,3,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,1,5,6,4,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,2,1,6,3,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,2,1,6,3,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,1,6,4,3,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,1,6,4,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,1,6,5,3,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,1,6,5,4,3]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,2,3,1,4,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,2,3,1,4,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,1,5,4,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,3,1,5,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,1,6,4,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,3,1,6,5,4]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,3,4,1,5,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,3,4,1,6,5]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,4,5,1,6]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,3,4,5,6,1]=>100001=>([(0,4),(0,5),(1,3),(1,7),(1,8),(2,13),(2,14),(3,2),(3,11),(3,12),(4,9),(4,10),(5,1),(5,9),(5,10),(7,12),(8,11),(9,8),(10,7),(11,13),(12,14),(13,6),(14,6)],15) [7,2,3,4,6,1,5]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,3,4,6,5,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,2,3,5,1,4,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,3,5,1,6,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,5,4,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,3,5,4,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,5,6,1,4]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,3,5,6,4,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,2,3,6,1,4,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,3,6,1,5,4]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,6,4,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,3,6,4,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,3,6,5,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,3,6,5,4,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,2,4,1,3,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,2,4,1,3,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,1,5,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,4,1,5,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,1,6,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,4,1,6,5,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,4,3,1,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,4,3,1,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,4,3,5,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,4,3,5,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,3,6,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,4,3,6,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,4,5,1,3,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,4,5,1,6,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,5,3,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,4,5,3,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,5,6,1,3]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,4,5,6,3,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,2,4,6,1,3,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,4,6,1,5,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,6,3,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,4,6,3,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,4,6,5,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,4,6,5,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,2,5,1,3,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,2,5,1,3,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,5,1,4,3,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,5,1,4,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,5,1,6,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,5,1,6,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,5,3,1,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,5,3,1,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,5,3,4,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,5,3,4,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,5,3,6,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,5,3,6,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,5,4,1,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,5,4,1,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,5,4,3,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,5,4,3,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,5,4,6,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,5,4,6,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,5,6,1,3,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,2,5,6,1,4,3]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,5,6,3,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,5,6,3,4,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,5,6,4,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,2,5,6,4,3,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,2,6,1,3,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,2,6,1,3,5,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,6,1,4,3,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,6,1,4,5,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,6,1,5,3,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,6,1,5,4,3]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,6,3,1,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,6,3,1,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,6,3,4,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,6,3,4,5,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,2,6,3,5,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,6,3,5,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,6,4,1,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,6,4,1,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,6,4,3,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,6,4,3,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,6,4,5,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,2,6,4,5,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,2,6,5,1,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,2,6,5,1,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,6,5,3,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,6,5,3,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,2,6,5,4,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,2,6,5,4,3,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,3,1,2,4,5,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,3,1,2,4,6,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,3,1,2,5,4,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,1,2,5,6,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,3,1,2,6,4,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,1,2,6,5,4]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,3,1,4,2,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,3,1,4,2,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,1,4,5,2,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,1,4,5,6,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,3,1,4,6,2,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,1,4,6,5,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,3,1,5,2,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,3,1,5,2,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,1,5,4,2,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,1,5,4,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,1,5,6,2,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,1,5,6,4,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,3,1,6,2,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,3,1,6,2,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,1,6,4,2,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,1,6,4,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,1,6,5,2,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,1,6,5,4,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,3,2,1,4,5,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,3,2,1,4,6,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,3,2,1,5,4,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,3,2,1,5,6,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,3,2,1,6,4,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,3,2,1,6,5,4]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,3,2,4,1,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,3,2,4,1,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,2,4,5,1,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,2,4,5,6,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,3,2,4,6,1,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,2,4,6,5,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,3,2,5,1,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,3,2,5,1,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,2,5,4,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,2,5,4,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,2,5,6,1,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,2,5,6,4,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,3,2,6,1,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,3,2,6,1,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,2,6,4,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,2,6,4,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,2,6,5,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,2,6,5,4,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,3,4,1,2,5,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,3,4,1,2,6,5]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,1,5,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,4,1,5,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,1,6,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,4,1,6,5,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,4,2,1,5,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,4,2,1,6,5]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,4,2,5,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,4,2,5,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,2,6,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,4,2,6,5,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,4,5,1,2,6]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,4,5,1,6,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,5,2,1,6]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,3,4,5,2,6,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,5,6,1,2]=>100010=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,3,4,5,6,2,1]=>100011=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,3,4,6,1,2,5]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,4,6,1,5,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,6,2,1,5]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,3,4,6,2,5,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,4,6,5,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,3,4,6,5,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,3,5,1,2,4,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,3,5,1,2,6,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,5,1,4,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,5,1,4,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,5,1,6,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,5,1,6,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,5,2,1,4,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,5,2,1,6,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,5,2,4,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,5,2,4,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,5,2,6,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,5,2,6,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,5,4,1,2,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,5,4,1,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,5,4,2,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,3,5,4,2,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,5,4,6,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,5,4,6,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,5,6,1,2,4]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,3,5,6,1,4,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,5,6,2,1,4]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,3,5,6,2,4,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,5,6,4,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,3,5,6,4,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,3,6,1,2,4,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,3,6,1,2,5,4]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,6,1,4,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,6,1,4,5,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,6,1,5,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,6,1,5,4,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,6,2,1,4,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,6,2,1,5,4]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,6,2,4,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,6,2,4,5,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,3,6,2,5,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,6,2,5,4,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,6,4,1,2,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,6,4,1,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,6,4,2,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,3,6,4,2,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,6,4,5,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,3,6,4,5,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,3,6,5,1,2,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,3,6,5,1,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,6,5,2,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,3,6,5,2,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,3,6,5,4,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,3,6,5,4,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,4,1,2,3,5,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,4,1,2,3,6,5]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,4,1,2,5,3,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,1,2,5,6,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,4,1,2,6,3,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,1,2,6,5,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,4,1,3,2,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,1,3,2,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,1,3,5,2,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,1,3,5,6,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,4,1,3,6,2,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,1,3,6,5,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,4,1,5,2,3,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,1,5,2,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,1,5,3,2,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,1,5,3,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,1,5,6,2,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,1,5,6,3,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,4,1,6,2,3,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,1,6,2,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,1,6,3,2,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,1,6,3,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,1,6,5,2,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,1,6,5,3,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,4,2,1,3,5,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,4,2,1,3,6,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,4,2,1,5,3,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,2,1,5,6,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,4,2,1,6,3,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,2,1,6,5,3]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,4,2,3,1,5,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,2,3,1,6,5]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,2,3,5,1,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,2,3,5,6,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,4,2,3,6,1,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,2,3,6,5,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,4,2,5,1,3,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,2,5,1,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,2,5,3,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,2,5,3,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,2,5,6,1,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,2,5,6,3,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,4,2,6,1,3,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,2,6,1,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,2,6,3,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,2,6,3,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,2,6,5,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,2,6,5,3,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,4,3,1,2,5,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,4,3,1,2,6,5]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,4,3,1,5,2,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,3,1,5,6,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,4,3,1,6,2,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,3,1,6,5,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,4,3,2,1,5,6]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,4,3,2,1,6,5]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,4,3,2,5,1,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,3,2,5,6,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,4,3,2,6,1,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,3,2,6,5,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,4,3,5,1,2,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,3,5,1,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,3,5,2,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,3,5,2,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,3,5,6,1,2]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,3,5,6,2,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,4,3,6,1,2,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,4,3,6,1,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,3,6,2,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,3,6,2,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,3,6,5,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,3,6,5,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,4,5,1,2,3,6]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,5,1,2,6,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,5,1,3,2,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,5,1,3,6,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,5,1,6,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,5,1,6,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,5,2,1,3,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,5,2,1,6,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,5,2,3,1,6]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,5,2,3,6,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,5,2,6,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,5,2,6,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,5,3,1,2,6]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,5,3,1,6,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,5,3,2,1,6]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,4,5,3,2,6,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,5,3,6,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,5,3,6,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,5,6,1,2,3]=>100100=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,4,5,6,1,3,2]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,5,6,2,1,3]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,4,5,6,2,3,1]=>100101=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,5,6,3,1,2]=>100110=>([(0,3),(0,4),(1,11),(1,16),(2,10),(2,15),(3,2),(3,13),(3,14),(4,1),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,15),(13,16),(14,10),(14,11),(15,6),(15,12),(16,7),(16,12)],17) [7,4,5,6,3,2,1]=>100111=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,4,6,1,2,3,5]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,4,6,1,2,5,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,6,1,3,2,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,6,1,3,5,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,6,1,5,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,6,1,5,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,6,2,1,3,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,6,2,1,5,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,6,2,3,1,5]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,6,2,3,5,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,4,6,2,5,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,6,2,5,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,6,3,1,2,5]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,6,3,1,5,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,6,3,2,1,5]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,4,6,3,2,5,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,6,3,5,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,4,6,3,5,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,4,6,5,1,2,3]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,4,6,5,1,3,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,6,5,2,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,4,6,5,2,3,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,4,6,5,3,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,4,6,5,3,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,5,1,2,3,4,6]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,5,1,2,3,6,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,5,1,2,4,3,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,1,2,4,6,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,5,1,2,6,3,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,1,2,6,4,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,5,1,3,2,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,1,3,2,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,1,3,4,2,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,1,3,4,6,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,5,1,3,6,2,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,1,3,6,4,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,5,1,4,2,3,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,1,4,2,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,1,4,3,2,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,1,4,3,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,1,4,6,2,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,1,4,6,3,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,5,1,6,2,3,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,1,6,2,4,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,1,6,3,2,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,1,6,3,4,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,1,6,4,2,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,1,6,4,3,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,2,1,3,4,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,5,2,1,3,6,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,2,1,4,3,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,2,1,4,6,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,2,1,6,3,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,2,1,6,4,3]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,2,3,1,4,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,2,3,1,6,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,2,3,4,1,6]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,2,3,4,6,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,5,2,3,6,1,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,2,3,6,4,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,5,2,4,1,3,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,2,4,1,6,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,2,4,3,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,2,4,3,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,2,4,6,1,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,2,4,6,3,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,5,2,6,1,3,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,2,6,1,4,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,2,6,3,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,2,6,3,4,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,2,6,4,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,2,6,4,3,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,3,1,2,4,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,5,3,1,2,6,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,3,1,4,2,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,3,1,4,6,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,3,1,6,2,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,3,1,6,4,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,3,2,1,4,6]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,5,3,2,1,6,4]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,5,3,2,4,1,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,3,2,4,6,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,3,2,6,1,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,3,2,6,4,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,3,4,1,2,6]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,3,4,1,6,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,3,4,2,1,6]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,3,4,2,6,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,3,4,6,1,2]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,3,4,6,2,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,5,3,6,1,2,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,3,6,1,4,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,3,6,2,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,3,6,2,4,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,3,6,4,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,3,6,4,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,4,1,2,3,6]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,5,4,1,2,6,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,4,1,3,2,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,4,1,3,6,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,4,1,6,2,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,4,1,6,3,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,4,2,1,3,6]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,5,4,2,1,6,3]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,5,4,2,3,1,6]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,4,2,3,6,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,5,4,2,6,1,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,4,2,6,3,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,4,3,1,2,6]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,5,4,3,1,6,2]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,5,4,3,2,1,6]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,5,4,3,2,6,1]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,5,4,3,6,1,2]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,4,3,6,2,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,4,6,1,2,3]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,5,4,6,1,3,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,4,6,2,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,4,6,2,3,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,4,6,3,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,5,4,6,3,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,5,6,1,2,3,4]=>101000=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,5,6,1,2,4,3]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,5,6,1,3,2,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,5,6,1,3,4,2]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,5,6,1,4,2,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,5,6,1,4,3,2]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,6,2,1,3,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,6,2,1,4,3]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,5,6,2,3,1,4]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,5,6,2,3,4,1]=>101001=>([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) [7,5,6,2,4,1,3]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,5,6,2,4,3,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,6,3,1,2,4]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,6,3,1,4,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,5,6,3,2,1,4]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,5,6,3,2,4,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,5,6,3,4,1,2]=>101010=>([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) [7,5,6,3,4,2,1]=>101011=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,5,6,4,1,2,3]=>101100=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,5,6,4,1,3,2]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,5,6,4,2,1,3]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,5,6,4,2,3,1]=>101101=>([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) [7,5,6,4,3,1,2]=>101110=>([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) [7,5,6,4,3,2,1]=>101111=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,1,2,3,4,5]=>110000=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,1,2,3,5,4]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,6,1,2,4,3,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,1,2,4,5,3]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,6,1,2,5,3,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,1,2,5,4,3]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,6,1,3,2,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,1,3,2,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,1,3,4,2,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,1,3,4,5,2]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,6,1,3,5,2,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,1,3,5,4,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,6,1,4,2,3,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,1,4,2,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,1,4,3,2,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,1,4,3,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,1,4,5,2,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,1,4,5,3,2]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,6,1,5,2,3,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,1,5,2,4,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,1,5,3,2,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,1,5,3,4,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,1,5,4,2,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,1,5,4,3,2]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,2,1,3,4,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,6,2,1,3,5,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,2,1,4,3,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,2,1,4,5,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,2,1,5,3,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,2,1,5,4,3]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,2,3,1,4,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,2,3,1,5,4]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,2,3,4,1,5]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,2,3,4,5,1]=>110001=>([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) [7,6,2,3,5,1,4]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,2,3,5,4,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,6,2,4,1,3,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,2,4,1,5,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,2,4,3,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,2,4,3,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,2,4,5,1,3]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,2,4,5,3,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,6,2,5,1,3,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,2,5,1,4,3]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,2,5,3,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,2,5,3,4,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,2,5,4,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,2,5,4,3,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,3,1,2,4,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,6,3,1,2,5,4]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,3,1,4,2,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,3,1,4,5,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,3,1,5,2,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,3,1,5,4,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,3,2,1,4,5]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,3,2,1,5,4]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,3,2,4,1,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,3,2,4,5,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,3,2,5,1,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,3,2,5,4,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,3,4,1,2,5]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,3,4,1,5,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,3,4,2,1,5]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,3,4,2,5,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,3,4,5,1,2]=>110010=>([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) [7,6,3,4,5,2,1]=>110011=>([(0,3),(0,4),(1,15),(1,16),(2,10),(2,11),(3,1),(3,13),(3,14),(4,2),(4,13),(4,14),(6,9),(7,8),(8,5),(9,5),(10,7),(11,6),(12,8),(12,9),(13,10),(13,15),(14,11),(14,16),(15,7),(15,12),(16,6),(16,12)],17) [7,6,3,5,1,2,4]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,3,5,1,4,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,3,5,2,1,4]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,3,5,2,4,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,3,5,4,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,3,5,4,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,4,1,2,3,5]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,6,4,1,2,5,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,4,1,3,2,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,4,1,3,5,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,4,1,5,2,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,4,1,5,3,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,4,2,1,3,5]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,4,2,1,5,3]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,4,2,3,1,5]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,4,2,3,5,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,4,2,5,1,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,4,2,5,3,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,4,3,1,2,5]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,4,3,1,5,2]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,4,3,2,1,5]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,6,4,3,2,5,1]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,4,3,5,1,2]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,4,3,5,2,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,4,5,1,2,3]=>110100=>([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) [7,6,4,5,1,3,2]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,4,5,2,1,3]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,4,5,2,3,1]=>110101=>([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) [7,6,4,5,3,1,2]=>110110=>([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) [7,6,4,5,3,2,1]=>110111=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,5,1,2,3,4]=>111000=>([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) [7,6,5,1,2,4,3]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,5,1,3,2,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,5,1,3,4,2]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,5,1,4,2,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,5,1,4,3,2]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,5,2,1,3,4]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,5,2,1,4,3]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,5,2,3,1,4]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,5,2,3,4,1]=>111001=>([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) [7,6,5,2,4,1,3]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,5,2,4,3,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,5,3,1,2,4]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,5,3,1,4,2]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,5,3,2,1,4]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,6,5,3,2,4,1]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,5,3,4,1,2]=>111010=>([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) [7,6,5,3,4,2,1]=>111011=>([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) [7,6,5,4,1,2,3]=>111100=>([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) [7,6,5,4,1,3,2]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,5,4,2,1,3]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,6,5,4,2,3,1]=>111101=>([(0,4),(0,5),(1,3),(1,12),(2,11),(3,2),(3,14),(4,10),(4,13),(5,1),(5,10),(5,13),(7,8),(8,9),(9,6),(10,7),(11,6),(12,8),(12,14),(13,7),(13,12),(14,9),(14,11)],15) [7,6,5,4,3,1,2]=>111110=>([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) [7,6,5,4,3,2,1]=>111111=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) [8,7,6,5,4,3,2,1]=>1111111=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [7,8,6,5,4,3,2,1]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [8,6,7,5,4,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,6,8,5,4,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,7,8,5,4,3,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,7,5,6,4,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,5,6,4,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,7,4,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,6,7,4,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,6,5,8,4,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,7,5,8,4,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,5,6,8,4,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,5,7,8,4,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,6,7,8,4,3,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,7,6,4,5,3,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,8,6,4,5,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,7,4,5,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,8,4,5,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,5,4,6,3,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,4,5,6,3,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,6,5,4,7,3,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,5,6,4,7,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,4,5,7,3,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,4,6,7,3,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,5,6,7,3,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,5,4,8,3,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,7,5,4,8,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,6,4,8,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,7,4,8,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,7,4,8,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,4,5,8,3,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,7,4,5,8,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,4,6,8,3,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,5,6,8,3,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,4,7,8,3,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,6,4,7,8,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,5,7,8,3,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,6,7,8,3,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,5,6,7,8,3,2,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,7,6,5,3,4,2,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,6,5,3,4,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,7,5,3,4,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,8,5,3,4,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,5,6,3,4,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,8,5,6,3,4,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,7,3,4,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,5,8,3,4,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,5,8,3,4,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,7,8,3,4,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,7,8,3,4,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,6,4,3,5,2,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,6,4,3,5,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,7,4,3,5,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,8,4,3,5,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,4,3,5,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,6,3,4,5,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,8,6,3,4,5,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,7,3,4,5,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,8,3,4,5,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,8,3,4,5,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,5,4,3,6,2,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,5,4,3,6,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,4,5,3,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,5,3,4,6,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,8,5,3,4,6,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,4,3,5,6,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,3,4,5,6,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,8,3,4,5,6,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,5,4,3,7,2,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,6,4,5,3,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,4,3,5,7,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,4,3,6,7,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,3,4,6,7,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,4,3,5,6,7,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,3,4,5,6,7,2,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,5,4,3,8,2,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,7,5,4,3,8,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,6,4,3,8,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,7,4,3,8,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,7,4,3,8,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,4,5,3,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,6,3,8,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,5,6,3,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,7,3,8,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,5,7,3,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,6,7,3,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,6,7,3,8,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,5,3,4,8,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,4,3,5,8,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,3,4,5,8,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,5,4,3,6,8,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,3,4,6,8,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,3,4,5,6,8,2,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,4,3,7,8,2,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,6,3,7,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,3,4,7,8,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,3,4,5,7,8,2,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,3,6,7,8,2,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,4,6,7,8,2,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,3,5,6,7,8,2,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,5,6,7,8,2,1]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,7,6,5,4,2,3,1]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,8,6,5,4,2,3,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,7,5,4,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,8,5,4,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,5,6,4,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,5,7,4,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,6,7,4,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,5,8,4,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,5,8,4,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,6,8,4,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,7,8,4,2,3,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,4,5,2,3,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,7,4,5,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,4,5,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,5,4,6,2,3,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,4,5,6,2,3,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,4,5,6,2,3,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,5,4,7,2,3,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,6,4,7,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,4,5,7,2,3,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,6,7,2,3,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,5,4,8,2,3,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,6,4,8,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,4,8,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,5,8,2,3,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,7,8,2,3,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,5,3,2,4,1]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,8,6,5,3,2,4,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,7,5,3,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,8,5,3,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,8,5,3,2,4,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,5,6,3,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,5,7,3,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,6,7,3,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,5,8,3,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,5,8,3,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,8,3,2,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,5,2,3,4,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,7,5,2,3,4,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,8,5,2,3,4,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,8,5,2,3,4,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,5,6,2,3,4,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,5,6,2,3,4,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,5,7,2,3,4,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,6,7,2,3,4,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,5,8,2,3,4,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,5,8,2,3,4,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,8,2,3,4,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,7,8,2,3,4,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,6,4,3,2,5,1]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,8,6,4,3,2,5,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,7,4,3,2,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,8,4,3,2,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,8,4,3,2,5,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,6,3,4,2,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,6,3,4,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,7,3,4,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,3,4,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,8,3,4,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,6,4,2,3,5,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,7,4,2,3,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,8,4,2,3,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,8,4,2,3,5,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,6,3,2,4,5,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,8,6,3,2,4,5,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,7,3,2,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,8,3,2,4,5,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,6,2,3,4,5,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,8,6,2,3,4,5,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,7,2,3,4,5,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,8,2,3,4,5,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,8,2,3,4,5,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,5,4,3,2,6,1]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,8,5,4,3,2,6,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,7,5,3,4,2,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,5,3,4,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,4,3,5,2,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,5,3,2,4,6,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,4,3,2,5,6,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,8,4,3,2,5,6,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,3,4,2,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,2,3,5,6,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,3,2,4,5,6,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,2,3,4,5,6,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,2,3,4,5,6,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,5,4,3,2,7,1]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,5,6,4,3,2,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,4,5,3,2,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,4,6,3,2,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,5,3,4,2,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,6,3,4,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,4,3,5,2,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,3,4,5,2,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,4,3,6,2,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,5,3,6,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,3,5,6,2,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,4,5,6,2,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,4,2,3,7,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,5,6,4,2,3,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,4,5,2,3,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,5,3,2,4,7,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,4,3,2,5,7,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,4,2,3,5,7,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,2,3,4,5,7,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,5,4,3,2,6,7,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,4,5,3,2,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,3,4,2,6,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,4,5,2,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,5,4,2,3,6,7,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,5,2,3,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,2,3,4,6,7,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,4,3,2,5,6,7,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,3,4,2,5,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,2,3,5,6,7,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,3,2,4,5,6,7,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,3,4,5,6,7,1]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [7,6,5,4,3,2,8,1]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,7,5,4,3,2,8,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,5,6,4,3,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,7,4,3,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,7,4,3,2,8,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,4,5,3,2,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,4,5,3,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,6,3,2,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,4,7,3,2,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,5,7,3,2,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,6,7,3,2,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,5,3,4,2,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,6,3,4,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,3,4,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,7,3,4,2,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,4,3,5,2,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,3,4,5,2,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,4,3,6,2,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,5,3,6,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,3,4,6,2,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,4,5,6,2,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,4,3,7,2,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,5,3,7,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,3,7,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,6,3,7,2,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,4,7,2,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,3,4,7,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,3,5,7,2,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,4,5,7,2,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,3,6,7,2,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,3,6,7,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,5,6,7,2,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,5,6,7,2,8,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,5,4,2,3,8,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,7,5,4,2,3,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,6,4,2,3,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,7,4,2,3,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,7,4,2,3,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,4,5,2,3,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,4,5,2,3,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,6,2,3,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,5,6,2,3,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,4,7,2,3,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,4,7,2,3,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,7,2,3,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,6,7,2,3,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,6,7,2,3,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,5,3,2,4,8,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,7,5,3,2,4,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,7,3,2,4,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,5,2,3,4,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,6,2,3,4,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,7,2,3,4,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,4,3,2,5,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,4,2,3,5,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,3,2,4,5,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,7,3,2,4,5,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,2,3,4,5,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,7,2,3,4,5,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,5,4,3,2,6,8,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,4,3,5,2,6,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,4,2,3,6,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,4,5,2,3,6,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,3,2,4,6,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,2,3,4,6,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,4,3,2,5,6,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,4,2,3,5,6,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,3,2,4,5,6,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,2,3,4,5,6,8,1]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,5,4,3,2,7,8,1]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,4,6,3,2,7,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,6,3,2,7,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,3,4,2,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,4,5,2,7,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,3,6,2,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,5,6,2,7,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,5,6,2,7,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,4,2,3,7,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,6,4,2,3,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,5,2,3,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,6,2,3,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,6,2,3,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,3,2,4,7,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,2,3,4,7,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,2,3,4,5,7,8,1]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,4,3,2,6,7,8,1]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,5,3,2,6,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,4,2,6,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,5,2,6,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,5,2,6,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,2,3,6,7,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,5,2,3,6,7,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,3,2,4,6,7,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,2,3,4,6,7,8,1]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,3,2,5,6,7,8,1]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,2,5,6,7,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,2,3,5,6,7,8,1]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,2,4,5,6,7,8,1]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,3,4,5,6,7,8,1]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [8,7,6,5,4,3,1,2]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [7,8,6,5,4,3,1,2]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,6,7,5,4,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,8,5,4,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,8,5,4,3,1,2]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,5,6,4,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,5,6,4,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,7,4,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,5,8,4,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,5,8,4,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,6,8,4,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,7,8,4,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,7,8,4,3,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,6,4,5,3,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,6,4,5,3,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,7,4,5,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,8,4,5,3,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,5,4,6,3,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,6,4,7,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,4,5,7,3,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,4,6,7,3,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,4,8,3,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,6,4,8,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,4,8,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,4,5,8,3,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,4,5,8,3,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,4,7,8,3,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,4,7,8,3,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,7,8,3,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,6,7,8,3,1,2]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,6,5,3,4,1,2]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,6,5,3,4,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,8,5,3,4,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,5,3,4,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,5,6,3,4,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,5,6,3,4,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,5,7,3,4,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,7,3,4,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,8,3,4,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,5,8,3,4,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,8,3,4,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,8,3,4,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,8,3,4,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,8,4,3,5,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,6,3,4,5,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,7,3,4,5,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,5,4,3,6,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,4,5,3,6,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,5,3,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,3,4,6,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,4,3,5,6,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,4,3,5,6,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,3,4,5,6,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,3,4,5,6,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,5,4,3,7,1,2]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,4,3,6,7,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,3,4,6,7,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,3,5,6,7,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,4,5,6,7,1,2]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,5,4,3,8,1,2]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,5,6,4,3,8,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,4,3,8,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,4,3,8,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,4,5,3,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,7,3,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,7,3,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,7,3,8,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,3,4,8,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,6,3,4,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,3,4,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,3,5,8,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,3,4,5,8,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,4,3,6,8,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,4,6,8,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,3,4,5,6,8,1,2]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,4,3,7,8,1,2]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,4,3,7,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,3,7,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,3,7,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,3,4,7,8,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,3,4,7,8,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,3,5,7,8,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,4,5,7,8,1,2]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,4,3,6,7,8,1,2]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,3,6,7,8,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,4,6,7,8,1,2]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,3,5,6,7,8,1,2]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,5,6,7,8,1,2]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,7,6,5,4,2,1,3]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [7,8,6,5,4,2,1,3]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,6,7,5,4,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,8,5,4,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,8,5,4,2,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,5,6,4,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,5,6,4,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,7,4,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,5,8,4,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,5,8,4,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,6,8,4,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,7,8,4,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,7,8,4,2,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,6,4,5,2,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,7,4,5,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,4,5,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,4,5,6,2,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,5,4,7,2,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,4,5,7,2,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,5,6,7,2,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,5,4,8,2,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,5,4,8,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,6,4,8,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,4,8,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,4,8,2,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,4,5,8,2,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,5,6,8,2,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,6,7,8,2,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,6,7,8,2,1,3]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,6,5,4,1,2,3]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,6,5,4,1,2,3]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,8,5,4,1,2,3]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,8,5,4,1,2,3]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,8,5,6,4,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,5,7,4,1,2,3]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,6,7,4,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,8,4,1,2,3]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,5,8,4,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,8,4,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,7,8,4,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,7,8,4,1,2,3]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,4,5,1,2,3]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,7,4,5,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,4,5,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,5,4,6,1,2,3]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,5,4,6,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,4,5,6,1,2,3]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,4,5,6,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,6,4,7,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,4,5,7,1,2,3]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,4,6,7,1,2,3]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,5,6,7,1,2,3]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,5,4,8,1,2,3]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,5,4,8,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,6,4,8,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,7,4,8,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,7,4,8,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,4,5,8,1,2,3]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,4,5,8,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,4,6,8,1,2,3]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,5,6,8,1,2,3]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,4,7,8,1,2,3]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,4,7,8,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,5,7,8,1,2,3]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,6,7,8,1,2,3]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,6,7,8,1,2,3]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,6,5,3,2,1,4]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [7,8,6,5,3,2,1,4]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,6,7,5,3,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,8,5,3,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,8,5,3,2,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,5,6,3,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,5,6,3,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,7,3,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,6,7,3,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,5,8,3,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,5,8,3,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,6,8,3,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,7,8,3,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,7,8,3,2,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,6,5,2,3,1,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,6,5,2,3,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,7,5,2,3,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,5,2,3,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,5,2,3,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,5,6,2,3,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,5,6,2,3,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,5,7,2,3,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,7,2,3,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,8,2,3,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,5,8,2,3,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,8,2,3,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,8,2,3,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,8,2,3,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,5,3,1,2,4]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,6,5,3,1,2,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,7,5,3,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,8,5,3,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,5,6,3,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,5,6,3,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,5,8,3,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,5,8,3,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,8,3,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,7,8,3,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,7,8,3,1,2,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,5,2,1,3,4]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,6,5,2,1,3,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,8,5,2,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,8,5,2,1,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,5,6,2,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,5,6,2,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,5,7,2,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,6,7,2,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,8,2,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,5,8,2,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,8,2,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,7,8,2,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,7,8,2,1,3,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,5,1,2,3,4]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,6,5,1,2,3,4]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,7,5,1,2,3,4]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,8,5,1,2,3,4]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,8,5,1,2,3,4]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,5,6,1,2,3,4]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,5,6,1,2,3,4]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,5,7,1,2,3,4]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,6,7,1,2,3,4]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,5,8,1,2,3,4]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,5,8,1,2,3,4]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,6,8,1,2,3,4]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,7,8,1,2,3,4]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,7,8,1,2,3,4]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,6,4,3,2,1,5]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [7,8,6,4,3,2,1,5]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,6,7,4,3,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,8,4,3,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,8,4,3,2,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,6,3,4,2,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,6,3,4,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,8,3,4,2,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,6,4,2,3,1,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,7,4,2,3,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,4,2,3,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,4,2,3,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,6,3,2,4,1,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,7,3,2,4,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,3,2,4,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,6,2,3,4,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,7,2,3,4,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,2,3,4,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,2,3,4,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,4,3,1,2,5]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,7,8,4,3,1,2,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,6,3,4,1,2,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,6,3,4,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,7,3,4,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,3,4,1,2,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,6,4,2,1,3,5]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,6,4,2,1,3,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,7,4,2,1,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,8,4,2,1,3,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,6,4,1,2,3,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,6,4,1,2,3,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,8,4,1,2,3,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,8,4,1,2,3,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,3,2,1,4,5]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,6,3,2,1,4,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,7,3,2,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,8,3,2,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,8,3,2,1,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,6,2,3,1,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,6,2,3,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,7,2,3,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,2,3,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,2,3,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,6,3,1,2,4,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,6,3,1,2,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,7,3,1,2,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,8,3,1,2,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,8,3,1,2,4,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,2,1,3,4,5]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,6,2,1,3,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,7,2,1,3,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,8,2,1,3,4,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,1,2,3,4,5]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,6,1,2,3,4,5]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,7,1,2,3,4,5]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,8,1,2,3,4,5]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,7,8,1,2,3,4,5]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,5,4,3,2,1,6]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [7,8,5,4,3,2,1,6]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,7,4,5,3,2,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,4,5,3,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,5,3,4,2,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,3,5,2,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,3,4,5,2,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,3,4,5,2,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,4,5,2,3,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,5,2,3,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,5,3,2,4,1,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,5,2,3,4,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,4,3,2,5,1,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,4,3,2,5,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,3,4,2,5,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,4,2,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,2,3,4,5,1,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,2,3,4,5,1,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,5,4,3,1,2,6]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,5,4,3,1,2,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,5,3,4,1,2,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,5,3,4,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,3,4,5,1,2,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,3,4,5,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,5,4,2,1,3,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,5,4,1,2,3,6]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,5,4,1,2,3,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,4,5,1,2,3,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,4,5,1,2,3,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,5,3,2,1,4,6]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,5,3,2,1,4,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,5,2,3,1,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,5,3,1,2,4,6]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,5,3,1,2,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,5,2,1,3,4,6]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,5,2,1,3,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,5,1,2,3,4,6]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,5,1,2,3,4,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,4,3,2,1,5,6]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,4,3,2,1,5,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,3,4,2,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,3,4,2,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,4,2,3,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,3,2,4,1,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,3,2,4,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,2,3,4,1,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,2,3,4,1,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,4,3,1,2,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,3,4,1,2,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,3,4,1,2,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,4,2,1,3,5,6]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,4,2,1,3,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,4,1,2,3,5,6]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,4,1,2,3,5,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,3,2,1,4,5,6]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,3,2,1,4,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,2,3,1,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,2,3,1,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,3,1,2,4,5,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,2,1,3,4,5,6]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,8,2,1,3,4,5,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,1,2,3,4,5,6]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,8,1,2,3,4,5,6]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,6,5,4,3,2,1,7]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [8,5,6,4,3,2,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,4,5,3,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,4,6,3,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,5,6,3,2,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,5,3,4,2,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,6,3,4,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,4,3,5,2,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,5,3,6,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,3,5,6,2,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,4,5,6,2,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,5,4,2,3,1,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,6,4,2,3,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,5,2,3,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,6,2,3,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,5,3,2,4,1,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,2,3,4,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,6,2,3,4,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,3,2,5,1,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,4,2,3,5,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,3,2,4,5,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,4,3,2,6,1,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,3,5,2,6,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,2,3,6,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,5,2,3,6,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,3,2,4,6,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,2,3,4,6,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,4,2,5,6,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,4,5,6,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,3,4,5,6,1,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,5,4,3,1,2,7]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,6,4,5,3,1,2,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,5,3,4,1,2,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,6,3,4,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,4,5,1,2,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,4,3,6,1,2,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,5,3,6,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,4,6,1,2,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,3,5,6,1,2,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,4,5,6,1,2,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,5,4,2,1,3,7]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,5,6,4,2,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,4,5,2,1,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,5,6,2,1,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,5,4,1,2,3,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,6,4,1,2,3,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,5,1,2,3,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,5,6,1,2,3,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,5,3,2,1,4,7]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,5,6,3,2,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,5,2,3,1,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,6,2,3,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,3,1,2,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,5,2,1,3,4,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,6,2,1,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,5,1,2,3,4,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,6,1,2,3,4,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,4,3,2,1,5,7]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,6,3,4,2,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,4,2,3,1,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,3,2,4,1,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,2,3,4,1,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,4,3,1,2,5,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,6,3,4,1,2,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,4,2,1,3,5,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,6,4,1,2,3,5,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,6,1,2,3,4,5,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,5,4,3,2,1,6,7]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,4,5,3,2,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,3,5,2,1,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,4,5,2,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,5,2,3,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,2,3,4,1,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,2,3,5,1,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,3,4,5,1,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,3,4,1,2,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,4,5,1,2,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,4,2,1,3,6,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,4,1,2,3,6,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,4,5,1,2,3,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,3,2,1,4,6,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,3,1,2,4,6,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,2,1,3,4,6,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,5,1,2,3,4,6,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,4,3,2,1,5,6,7]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,3,4,2,1,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,2,3,1,5,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,3,4,1,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,4,1,2,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,2,1,3,5,6,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,4,1,2,3,5,6,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,3,2,1,4,5,6,7]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [8,2,3,1,4,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,1,2,4,5,6,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,2,1,3,4,5,6,7]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [8,1,2,3,4,5,6,7]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [7,6,5,4,3,2,1,8]=>1111110=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [6,7,5,4,3,2,1,8]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [7,5,6,4,3,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,7,4,3,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,6,7,4,3,2,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,4,5,3,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,4,5,3,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,4,6,3,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,5,6,3,2,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,4,7,3,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,6,4,7,3,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,6,7,3,2,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,6,7,3,2,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,5,3,4,2,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,5,3,4,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,6,3,4,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,3,4,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,3,4,2,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,4,3,5,2,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,4,3,5,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,3,4,5,2,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,4,3,6,2,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,5,3,6,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,5,6,2,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,4,3,7,2,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,4,3,7,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,6,3,7,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,3,6,7,2,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,5,6,7,2,1,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,6,5,4,2,3,1,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,7,5,4,2,3,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,6,4,2,3,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,4,2,3,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,4,5,2,3,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,4,5,2,3,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,4,6,2,3,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,5,6,2,3,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,4,7,2,3,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,4,7,2,3,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,7,2,3,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,7,2,3,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,3,2,4,1,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,5,7,3,2,4,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,3,2,4,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,5,2,3,4,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,5,2,3,4,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,2,3,4,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,2,3,4,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,2,3,4,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,3,2,5,1,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,7,4,3,2,5,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,3,4,2,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,4,2,3,5,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,4,2,3,5,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,3,2,4,5,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,3,2,4,5,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,3,4,5,1,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,2,3,4,5,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,4,3,2,6,1,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,4,5,3,2,6,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,3,4,2,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,5,2,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,2,3,6,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,5,2,3,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,3,2,4,6,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,2,3,5,6,1,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,3,4,5,6,1,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,4,3,2,7,1,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,6,4,3,2,7,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,6,3,2,7,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,4,2,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,5,2,7,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,3,6,2,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,3,6,2,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,4,6,2,7,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,6,2,7,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,5,6,2,7,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,6,2,3,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,3,2,4,7,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,2,3,5,7,1,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,2,4,5,7,1,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,3,4,5,7,1,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,4,3,2,6,7,1,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,2,6,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,2,3,6,7,1,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,2,3,6,7,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,3,4,6,7,1,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,3,2,5,6,7,1,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,2,5,6,7,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,3,5,6,7,1,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,2,4,5,6,7,1,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,4,5,6,7,1,8]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,6,5,4,3,1,2,8]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,7,5,4,3,1,2,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,5,6,4,3,1,2,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,4,5,3,1,2,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,5,6,3,1,2,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,6,7,3,1,2,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,6,7,3,1,2,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,5,3,4,1,2,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,6,3,4,1,2,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,3,4,5,1,2,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,3,4,6,1,2,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,4,3,7,1,2,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,3,4,7,1,2,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,5,7,1,2,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,4,5,7,1,2,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,5,6,7,1,2,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,5,6,7,1,2,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,6,5,4,2,1,3,8]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,5,7,4,2,1,3,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,4,5,2,1,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,4,6,2,1,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,5,6,2,1,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,6,7,2,1,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,6,7,2,1,3,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,5,4,1,2,3,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,5,6,4,1,2,3,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,7,4,1,2,3,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,4,5,1,2,3,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,4,6,1,2,3,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,5,6,1,2,3,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,4,6,7,1,2,3,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,6,7,1,2,3,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,5,3,2,1,4,8]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,6,5,2,3,1,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,5,2,3,1,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,6,2,3,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,7,2,3,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,7,2,3,1,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,6,3,1,2,4,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,5,2,1,3,4,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,7,5,2,1,3,4,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,6,2,1,3,4,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,7,2,1,3,4,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,5,1,2,3,4,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,7,5,1,2,3,4,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,5,6,1,2,3,4,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,5,7,1,2,3,4,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,6,7,1,2,3,4,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,6,4,3,2,1,5,8]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,7,4,3,2,1,5,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,3,4,2,1,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,3,2,4,1,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,3,2,4,1,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,2,3,4,1,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,2,3,4,1,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,3,1,2,5,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,7,3,4,1,2,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,4,2,1,3,5,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,6,3,2,1,4,5,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,7,3,2,1,4,5,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,2,3,1,4,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,2,3,1,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,3,1,2,4,5,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,6,1,2,3,4,5,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,7,1,2,3,4,5,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,5,4,3,2,1,6,8]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,4,5,3,2,1,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,4,3,5,2,1,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,4,5,2,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,4,2,3,1,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,2,4,1,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,2,3,4,1,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,2,3,5,1,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,3,4,5,1,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,4,3,1,2,6,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,5,3,4,1,2,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,5,2,1,3,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,5,1,2,3,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,5,3,2,1,4,6,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,5,2,3,1,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,1,2,4,6,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,5,1,2,3,4,6,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,4,3,2,1,5,6,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,2,3,4,1,5,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,3,1,2,5,6,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,3,4,1,2,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,4,1,2,3,5,6,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,3,2,1,4,5,6,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [7,2,3,1,4,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,3,1,2,4,5,6,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,2,1,3,4,5,6,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [7,1,2,3,4,5,6,8]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [6,5,4,3,2,1,7,8]=>1111100=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [5,6,4,3,2,1,7,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,6,3,2,1,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,6,3,2,1,7,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,5,3,4,2,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,3,4,2,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,3,6,2,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,5,6,2,1,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,6,2,3,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,3,2,4,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,2,3,4,1,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,2,3,4,1,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,2,5,1,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,2,3,4,5,1,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,3,2,6,1,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,3,2,6,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,5,2,6,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,2,6,1,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,2,4,6,1,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,3,4,6,1,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,2,5,6,1,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,2,5,6,1,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,3,5,6,1,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,4,5,6,1,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,4,5,6,1,7,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,5,4,3,1,2,7,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,4,5,3,1,2,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,6,3,1,2,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,3,4,1,2,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,3,6,1,2,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,5,6,1,2,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,5,6,1,2,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,5,4,2,1,3,7,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,6,4,2,1,3,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,4,5,2,1,3,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,6,2,1,3,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,5,4,1,2,3,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [4,5,6,1,2,3,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,5,3,2,1,4,7,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,6,3,2,1,4,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,6,2,1,3,4,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,4,3,2,1,5,7,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,3,4,2,1,5,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,3,1,2,5,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,4,2,1,3,5,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,4,1,2,3,5,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,3,2,1,4,5,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,2,3,1,4,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,1,2,4,5,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,2,1,3,4,5,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,1,2,3,4,5,7,8]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [5,4,3,2,1,6,7,8]=>1111000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [4,5,3,2,1,6,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,3,4,2,1,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,5,2,1,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,2,1,6,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,2,3,1,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,2,3,1,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,2,4,1,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,2,3,4,1,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,2,5,1,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,2,5,1,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,3,5,1,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,4,5,1,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,5,1,6,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,4,3,1,2,6,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,3,4,1,2,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,3,5,1,2,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,4,5,1,2,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,2,1,3,6,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [4,5,2,1,3,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,4,1,2,3,6,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [4,5,1,2,3,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,3,2,1,4,6,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,2,3,1,4,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,1,2,4,6,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [5,2,1,3,4,6,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [5,1,2,3,4,6,7,8]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [4,3,2,1,5,6,7,8]=>1110000=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [3,4,2,1,5,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,2,3,1,5,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,4,1,5,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,4,1,5,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,3,1,2,5,6,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [3,4,1,2,5,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,2,1,3,5,6,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [4,1,2,3,5,6,7,8]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [3,2,1,4,5,6,7,8]=>1100000=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [2,3,1,4,5,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,2,4,5,6,7,8]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [2,1,3,4,5,6,7,8]=>1000000=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [1,2,3,4,5,6,7,8]=>0000000=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) [6,8,7,5,4,3,2,1]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [5,8,7,6,4,3,2,1]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [5,7,8,6,4,3,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,5,8,7,4,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,6,8,7,4,3,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [5,7,6,8,4,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,7,6,5,3,2,1]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [4,7,8,6,5,3,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [4,6,8,7,5,3,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [4,7,6,8,5,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,6,7,8,5,3,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,4,7,8,6,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,5,8,7,6,3,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [4,5,7,8,6,3,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,5,4,8,7,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,6,4,8,7,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,6,5,8,7,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,5,6,8,7,3,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,7,6,4,8,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,6,5,8,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,7,5,8,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,7,6,8,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,7,6,8,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,5,7,8,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,7,6,5,4,2,1]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [3,7,8,6,5,4,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [3,6,8,7,5,4,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [3,7,6,8,5,4,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,5,8,7,6,4,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [3,5,7,8,6,4,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [3,5,6,8,7,4,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [3,7,6,5,8,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,7,5,8,4,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,7,6,8,4,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,6,7,8,4,2,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [4,3,8,7,6,5,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,3,7,8,6,5,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,3,6,7,8,5,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,8,7,6,5,2,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [3,4,6,7,8,5,2,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,4,3,8,7,6,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,3,7,8,6,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,4,7,8,6,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,8,7,6,2,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [3,4,5,7,8,6,2,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [6,5,4,3,8,7,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,6,4,3,8,7,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,6,3,8,7,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,6,5,8,7,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,3,6,8,7,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,3,6,8,7,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,6,8,7,2,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [5,7,6,4,3,8,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,7,6,5,3,8,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,7,6,3,8,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,6,5,4,8,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,7,6,4,8,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,6,7,4,8,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,7,6,5,8,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,6,5,8,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,6,7,5,8,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,3,7,6,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,7,6,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,5,7,6,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,5,7,6,8,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,5,4,7,8,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,6,4,7,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,5,7,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,6,5,7,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,4,6,7,8,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,7,6,5,4,3,1]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [2,7,8,6,5,4,3,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [2,6,8,7,5,4,3,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [2,7,6,8,5,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,6,7,8,5,4,3,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,5,8,7,6,4,3,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [2,6,7,5,8,4,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,5,7,8,4,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,6,7,8,4,3,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,4,8,7,6,5,3,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [2,4,7,8,6,5,3,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,4,6,8,7,5,3,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,4,6,7,8,5,3,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,5,4,8,7,6,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,5,4,7,8,6,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,5,7,8,6,3,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,6,5,4,8,7,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,6,4,8,7,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,6,5,8,7,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,5,6,8,7,3,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,7,6,5,4,8,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,7,5,4,8,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,6,7,4,8,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,7,6,5,8,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,6,7,5,8,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,4,7,6,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,4,7,8,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,6,4,7,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,6,5,7,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,4,6,7,8,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,5,6,7,8,3,1]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [3,2,8,7,6,5,4,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,2,6,8,7,5,4,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,2,5,7,8,6,4,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,2,6,5,8,7,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,5,7,6,8,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,6,7,8,4,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,8,7,6,5,4,1]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [2,3,6,7,8,5,4,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,5,7,8,6,4,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,6,5,8,7,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,5,6,8,7,4,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,7,6,5,8,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,5,7,6,8,4,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,5,6,7,8,4,1]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [4,3,2,8,7,6,5,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,3,2,7,8,6,5,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,4,2,8,7,6,5,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,4,2,7,8,6,5,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,3,8,7,6,5,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,3,6,8,7,5,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,3,6,7,8,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,4,8,7,6,5,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,2,4,7,8,6,5,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,3,4,8,7,6,5,1]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,4,7,8,6,5,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,4,6,8,7,5,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,4,7,6,8,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,6,7,8,5,1]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [5,4,3,2,8,7,6,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,4,3,2,7,8,6,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,4,2,7,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,5,2,7,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,4,3,8,7,6,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,4,3,7,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,5,3,8,7,6,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,5,3,7,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,5,4,7,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,5,4,8,7,6,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,5,4,7,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,2,5,8,7,6,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,5,7,8,6,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,4,2,5,8,7,6,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,2,5,7,8,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,3,5,8,7,6,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,4,5,7,8,6,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,4,5,8,7,6,1]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [2,3,4,5,7,8,6,1]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [6,5,4,3,2,8,7,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,6,5,3,2,8,7,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,6,3,2,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,6,3,2,8,7,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,5,4,2,8,7,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,6,4,2,8,7,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,5,2,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,3,6,2,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,3,6,2,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,6,2,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,6,2,8,7,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,5,4,3,8,7,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,6,5,3,8,7,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,5,6,3,8,7,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,2,6,5,4,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,5,6,4,8,7,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,2,6,5,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,3,6,5,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,6,5,8,7,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,4,6,5,8,7,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,3,2,6,8,7,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,3,2,6,8,7,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,4,3,6,8,7,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,5,3,6,8,7,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,5,4,6,8,7,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,2,5,6,8,7,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,4,2,5,6,8,7,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,3,5,6,8,7,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,4,5,6,8,7,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,4,5,6,8,7,1]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [5,7,6,4,3,2,8,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,7,6,5,3,2,8,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,6,7,5,3,2,8,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,5,7,3,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,6,4,2,8,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,6,7,4,2,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,7,6,5,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,6,7,5,2,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,7,6,5,2,8,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,6,7,5,2,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,3,7,6,2,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,3,7,6,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,7,6,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,5,7,6,2,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,5,3,7,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,5,4,7,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,4,7,2,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,6,5,7,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,6,5,7,2,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,6,7,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,5,4,3,8,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,5,7,4,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,7,4,3,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,6,7,5,3,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,4,7,6,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,5,7,3,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,4,6,7,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,5,6,7,3,8,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,7,6,5,4,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,6,7,5,4,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,5,7,6,4,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,5,7,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,6,7,4,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,7,6,5,4,8,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,5,7,6,4,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,5,6,7,4,8,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,3,2,7,6,5,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,2,6,7,5,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,7,6,5,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,2,6,7,5,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,7,6,5,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,6,7,5,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,4,7,6,5,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,4,7,6,5,8,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,4,6,7,5,8,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,4,3,2,7,6,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,4,2,7,6,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,2,7,6,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,5,2,7,6,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,4,3,7,6,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,4,7,6,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,5,4,7,6,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,2,5,7,6,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,5,7,6,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,5,7,6,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,4,5,7,6,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,5,7,6,8,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,5,4,2,7,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,6,4,2,7,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,6,5,2,7,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,4,6,2,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,4,3,7,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,6,4,3,7,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,6,5,3,7,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,4,6,3,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,5,6,3,7,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,5,6,4,7,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,6,5,4,7,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,5,6,4,7,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,2,6,5,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,2,6,5,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,6,5,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,6,5,7,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,4,2,6,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,4,3,6,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,5,3,6,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,5,4,6,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,5,4,6,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,3,5,6,7,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,7,6,5,4,3,2]=>0111111=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [1,7,8,6,5,4,3,2]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,6,8,7,5,4,3,2]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,7,6,8,5,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,7,8,5,4,3,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,5,8,7,6,4,3,2]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,6,5,8,7,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,7,6,5,8,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,7,5,8,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,7,6,8,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,5,7,8,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,6,7,8,4,3,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,4,8,7,6,5,3,2]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,4,7,8,6,5,3,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,4,6,8,7,5,3,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,4,6,7,8,5,3,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,5,4,7,8,6,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,5,8,7,6,3,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,4,5,7,8,6,3,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,6,5,4,8,7,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,6,5,8,7,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,7,6,5,4,8,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,7,6,5,8,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,6,7,5,8,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,5,4,7,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,6,4,7,8,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,4,6,7,8,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,5,6,7,8,3,2]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,3,8,7,6,5,4,2]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,3,7,8,6,5,4,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,6,8,7,5,4,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,6,7,8,5,4,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,5,8,7,6,4,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,5,7,8,6,4,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,5,6,8,7,4,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,6,7,5,8,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,5,7,6,8,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,6,5,7,8,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,5,6,7,8,4,2]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,4,3,8,7,6,5,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,4,3,7,8,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,3,6,8,7,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,3,7,6,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,6,7,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,4,8,7,6,5,2]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,4,7,6,8,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,4,6,7,8,5,2]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,5,4,3,8,7,6,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,5,3,8,7,6,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,5,3,7,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,5,4,8,7,6,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,5,4,7,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,3,5,8,7,6,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,3,5,7,8,6,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,4,5,8,7,6,2]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,3,4,5,7,8,6,2]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,6,5,4,3,8,7,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,6,4,3,8,7,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,6,5,3,8,7,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,5,6,3,8,7,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,6,5,4,8,7,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,3,6,5,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,3,6,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,5,3,6,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,4,5,6,8,7,2]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,7,6,5,4,3,8,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,7,5,4,3,8,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,5,7,4,3,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,6,7,5,3,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,6,4,7,3,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,6,5,7,3,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,6,7,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,5,6,7,3,8,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,5,7,6,4,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,6,5,7,4,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,5,6,7,4,8,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,4,3,6,7,5,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,4,7,6,5,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,4,6,7,5,8,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,5,4,7,6,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,5,7,6,8,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,5,4,3,7,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,4,6,3,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,6,4,7,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,3,6,5,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,4,6,5,7,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,4,3,6,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,5,3,6,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,5,4,6,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,3,5,6,7,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,4,5,6,7,8,2]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [2,1,8,7,6,5,4,3]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,7,8,6,5,4,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,1,6,8,7,5,4,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,1,7,6,8,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,6,7,8,5,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,5,8,7,6,4,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,1,5,7,8,6,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,6,5,8,7,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,5,6,8,7,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,7,6,5,8,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,6,7,5,8,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,5,7,6,8,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,6,5,7,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,5,6,7,8,4,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,4,8,7,6,5,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,1,4,7,8,6,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,4,6,8,7,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,4,7,6,8,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,6,7,8,5,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,5,4,8,7,6,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,5,4,7,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,4,5,8,7,6,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,4,5,7,8,6,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,6,5,4,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,6,4,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,6,5,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,5,4,6,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,4,5,6,8,7,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,7,6,5,4,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,6,7,5,4,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,5,7,6,4,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,5,7,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,6,7,4,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,4,7,6,5,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,4,6,7,5,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,5,4,7,6,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,6,4,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,5,4,6,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,4,5,6,7,8,3]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,2,8,7,6,5,4,3]=>0011111=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,7,8,6,5,4,3]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,7,6,8,5,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,6,7,8,5,4,3]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,5,8,7,6,4,3]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,6,5,8,7,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,5,6,8,7,4,3]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,7,6,5,8,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,5,7,6,8,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,6,5,7,8,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,5,6,7,8,4,3]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,4,8,7,6,5,3]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,4,7,8,6,5,3]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,4,6,8,7,5,3]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,4,7,6,8,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,4,6,7,8,5,3]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,5,4,8,7,6,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,4,5,8,7,6,3]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,4,5,7,8,6,3]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,6,5,4,8,7,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,5,4,6,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,4,5,6,8,7,3]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,7,6,5,4,8,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,5,7,6,4,8,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,5,6,7,4,8,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,4,7,6,5,8,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,5,4,7,6,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,6,5,4,7,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,5,6,4,7,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,4,6,5,7,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,5,4,6,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,4,5,6,7,8,3]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [3,2,1,8,7,6,5,4]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,2,1,7,8,6,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,1,6,8,7,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,1,7,6,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,1,6,7,8,5,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,1,5,8,7,6,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,1,5,7,8,6,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,1,6,5,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,1,5,6,8,7,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,1,7,6,5,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,1,6,7,5,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,5,7,6,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,6,5,7,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,5,6,7,8,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,1,8,7,6,5,4]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,1,7,8,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,1,6,8,7,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,1,7,6,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,6,7,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,1,5,7,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,1,6,5,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,7,6,5,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,1,6,7,5,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,1,5,7,6,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,1,5,6,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,8,7,6,5,4]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,2,6,8,7,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,2,7,6,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,6,7,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,2,5,8,7,6,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,2,5,7,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,2,6,5,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,5,6,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,2,7,6,5,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,6,7,5,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,5,7,6,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,6,5,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,2,5,6,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,3,8,7,6,5,4]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,1,3,7,8,6,5,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,3,6,8,7,5,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,3,6,7,8,5,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,3,6,5,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,3,5,7,6,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,3,5,6,7,8,4]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,2,3,8,7,6,5,4]=>0001111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,3,7,8,6,5,4]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,3,6,8,7,5,4]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,3,7,6,8,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,3,6,7,8,5,4]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,3,5,8,7,6,4]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,3,5,7,8,6,4]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,3,6,5,8,7,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,3,5,6,8,7,4]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,3,7,6,5,8,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,3,6,7,5,8,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,5,7,6,8,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,6,5,7,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,5,6,7,8,4]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [4,3,2,1,8,7,6,5]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,3,2,1,7,8,6,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,1,6,8,7,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,1,7,6,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,2,1,6,7,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,2,1,8,7,6,5]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,2,1,7,8,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,2,1,6,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,2,1,7,6,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,2,1,6,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,3,1,8,7,6,5]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,3,1,7,8,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,3,1,6,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,3,1,7,6,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,1,6,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,4,1,8,7,6,5]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,4,1,7,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,4,1,6,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,4,1,7,6,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,1,6,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,1,8,7,6,5]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,1,7,8,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,4,1,6,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,4,1,7,6,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,1,6,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,3,2,8,7,6,5]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,3,2,6,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,3,2,7,6,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,3,2,6,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,4,2,8,7,6,5]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,4,2,7,8,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,4,2,6,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,4,2,7,6,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,2,6,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,8,7,6,5]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,4,3,7,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,4,3,6,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,4,3,7,6,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,3,6,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,4,3,8,7,6,5]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,4,3,7,8,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,4,3,6,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,4,3,7,6,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,3,6,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,1,4,8,7,6,5]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,1,4,7,8,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,1,4,6,8,7,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,1,4,7,6,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,4,6,7,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,1,4,8,7,6,5]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,1,4,7,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,1,4,7,6,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,1,4,6,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,4,8,7,6,5]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,2,4,6,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,2,4,7,6,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,4,6,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,3,4,8,7,6,5]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,3,4,7,8,6,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,3,4,7,6,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,3,4,6,7,8,5]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,2,3,4,8,7,6,5]=>0000111=>([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) [1,2,3,4,7,8,6,5]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,3,4,6,8,7,5]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,3,4,7,6,8,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,4,6,7,8,5]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [5,4,3,2,1,8,7,6]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,3,2,1,7,8,6]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,5,3,2,1,8,7,6]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,4,2,1,8,7,6]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,4,2,1,7,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,5,2,1,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,2,1,8,7,6]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,5,2,1,7,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,4,3,1,8,7,6]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,4,3,1,7,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,5,3,1,8,7,6]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,5,3,1,7,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,4,1,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,5,4,1,7,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,5,4,1,8,7,6]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,2,5,1,8,7,6]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,2,5,1,7,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,2,5,1,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,2,5,1,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,5,1,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,5,1,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,5,1,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,4,5,1,8,7,6]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,5,1,7,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,4,3,2,8,7,6]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,4,3,2,7,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,5,3,2,8,7,6]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,5,3,2,7,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,5,4,2,7,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,3,5,2,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,5,2,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,4,5,2,8,7,6]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,4,5,2,7,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,5,4,3,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,4,5,3,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,5,4,3,8,7,6]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,5,4,3,7,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,4,5,3,8,7,6]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,4,5,3,7,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,2,5,4,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,5,4,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,3,5,4,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,3,5,4,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,3,5,4,8,7,6]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,3,5,4,7,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,2,1,5,8,7,6]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,1,5,7,8,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,3,1,5,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,4,1,5,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,4,1,5,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,1,5,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,4,1,5,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,3,2,5,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,3,2,5,7,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,4,2,5,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,4,2,5,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,5,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,4,3,5,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,4,3,5,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,4,3,5,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,1,4,5,8,7,6]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,1,4,5,7,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,1,4,5,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,4,5,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,2,4,5,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,3,4,5,8,7,6]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,3,4,5,7,8,6]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,2,3,4,5,8,7,6]=>0000011=>([(0,6),(0,7),(1,11),(2,5),(2,15),(3,13),(4,3),(4,17),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(9,12),(10,9),(11,10),(12,8),(13,8),(14,11),(14,15),(15,10),(15,16),(16,9),(16,17),(17,12),(17,13)],18) [1,2,3,4,5,7,8,6]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [6,5,4,3,2,1,8,7]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,6,4,3,2,1,8,7]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,6,5,3,2,1,8,7]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,4,6,3,2,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,6,3,2,1,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,5,4,2,1,8,7]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,6,4,2,1,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,6,5,2,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,6,5,2,1,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,3,6,2,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,3,6,2,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,5,6,2,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,5,6,2,1,8,7]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,5,4,3,1,8,7]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,5,6,4,3,1,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,6,5,3,1,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,6,5,4,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,5,6,4,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,6,5,4,1,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,5,6,4,1,8,7]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,2,6,5,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,2,6,5,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,6,5,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,2,6,1,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,3,2,6,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,4,2,6,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,2,6,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,5,2,6,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,4,3,6,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,5,3,6,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,5,4,6,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,2,5,6,1,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,5,6,1,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,5,6,1,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,4,5,6,1,8,7]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,5,4,3,2,8,7]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,6,4,3,2,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,4,6,3,2,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,5,4,2,8,7]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,4,5,6,2,8,7]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,1,6,5,4,3,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,5,6,4,3,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,4,6,5,3,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,5,4,6,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,5,6,3,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,4,5,6,3,8,7]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,1,6,5,4,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,1,6,5,4,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,6,5,4,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,5,6,4,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,3,5,6,4,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,3,6,5,4,8,7]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,3,5,6,4,8,7]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,3,2,1,6,5,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,2,1,6,5,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,1,6,5,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,1,6,5,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,4,1,6,5,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,2,6,5,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,3,6,5,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,4,3,6,5,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,4,6,5,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,4,6,5,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,3,4,6,5,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,3,4,6,5,8,7]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,4,3,2,1,6,8,7]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,5,3,2,1,6,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,4,2,1,6,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,5,2,1,6,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,5,2,1,6,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,4,3,1,6,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,5,3,1,6,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,4,1,6,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,5,4,1,6,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,3,5,1,6,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,5,1,6,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,5,3,2,6,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,5,4,2,6,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,4,5,2,6,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,4,5,3,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,5,4,3,6,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,3,5,4,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,3,5,4,6,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,2,1,5,6,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,2,4,1,5,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,1,5,6,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,3,2,5,6,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,4,2,5,6,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,5,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,4,3,5,6,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,1,4,5,6,8,7]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,1,4,5,6,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,4,5,6,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,3,4,5,6,8,7]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,2,3,4,5,6,8,7]=>0000001=>([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) [5,7,6,4,3,2,1,8]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,7,6,5,3,2,1,8]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,6,7,5,3,2,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,7,6,3,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,5,7,6,3,2,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,5,7,3,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,7,6,4,2,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,5,6,7,4,2,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,3,7,6,5,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,7,6,5,2,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,3,7,6,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,3,7,6,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,4,7,6,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,5,7,6,2,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,5,4,7,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,6,4,7,2,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,6,5,7,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,6,5,4,3,1,8]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,6,7,5,4,3,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,5,7,6,4,3,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,5,6,7,4,3,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,6,7,5,3,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,4,7,6,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,6,4,7,3,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,4,6,7,3,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,5,6,7,3,1,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,2,7,6,5,4,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,2,6,7,5,4,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,5,7,6,4,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,6,5,7,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,6,7,4,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,7,6,5,4,1,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,6,7,5,4,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,3,5,7,6,4,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,3,6,5,7,4,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,5,6,7,4,1,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,3,2,6,7,5,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,2,7,6,5,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,2,6,7,5,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,4,6,7,5,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,4,7,6,5,1,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,3,4,6,7,5,1,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,4,3,2,7,6,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,3,2,7,6,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,4,2,7,6,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,5,2,7,6,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,5,2,7,6,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,4,7,6,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,2,5,7,6,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,2,5,7,6,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,4,5,7,6,1,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,6,5,4,2,7,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,6,4,2,7,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,6,5,2,7,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,4,6,2,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,4,6,3,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,5,4,7,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,5,6,4,7,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,2,6,5,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,2,6,5,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,6,5,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,4,6,5,7,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,4,2,6,7,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,3,6,7,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,5,3,6,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,5,4,6,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,6,5,4,3,2,8]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,6,7,5,4,3,2,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,6,5,7,4,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,6,7,4,3,2,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,7,6,5,3,2,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,4,6,7,5,3,2,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,4,7,6,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,6,4,7,3,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,5,7,3,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,4,6,7,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,5,6,7,3,2,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,7,6,5,4,2,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,3,6,7,5,4,2,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,5,7,6,4,2,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,6,5,7,4,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,5,6,7,4,2,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,4,6,7,5,2,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,5,4,7,6,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,3,5,7,6,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,4,5,7,6,2,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,4,6,3,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,5,6,3,7,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,6,5,4,7,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,5,6,4,7,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,3,6,5,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,4,6,5,7,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,4,3,6,7,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,5,3,6,7,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,4,6,7,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,4,5,6,7,2,8]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,7,6,5,4,3,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,6,7,5,4,3,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,5,6,7,4,3,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,4,6,7,5,3,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,4,5,6,7,3,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,7,6,5,4,3,8]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,6,7,5,4,3,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,5,7,6,4,3,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,5,6,7,4,3,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,4,6,7,5,3,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,5,6,4,7,3,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,5,4,6,7,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,5,6,7,3,8]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,2,1,7,6,5,4,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,1,6,7,5,4,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,1,5,7,6,4,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,1,5,6,7,4,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,1,6,7,5,4,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,1,6,5,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,5,6,7,4,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,2,7,6,5,4,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,2,6,7,5,4,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,2,5,7,6,4,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,2,6,5,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,5,6,7,4,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,3,6,7,5,4,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,3,7,6,5,4,8]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,3,6,7,5,4,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,3,5,7,6,4,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,3,6,5,7,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,5,6,7,4,8]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,3,2,1,7,6,5,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,2,1,6,7,5,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,4,1,7,6,5,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,1,6,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,4,1,7,6,5,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,4,1,6,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,3,2,7,6,5,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,3,2,6,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,4,2,6,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,3,6,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,1,4,7,6,5,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,1,4,6,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,2,4,7,6,5,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,4,6,7,5,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,3,4,7,6,5,8]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,3,4,6,7,5,8]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,4,3,2,1,7,6,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,5,3,2,1,7,6,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,4,2,1,7,6,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,5,2,1,7,6,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,4,3,1,7,6,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,5,3,1,7,6,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,5,4,1,7,6,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,5,4,1,7,6,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,5,1,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,5,1,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,4,5,1,7,6,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,4,3,2,7,6,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,5,3,2,7,6,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,5,4,2,7,6,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,3,5,2,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,4,5,2,7,6,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,5,4,3,7,6,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,5,3,7,6,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,1,5,4,7,6,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,5,4,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,5,4,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,3,5,4,7,6,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,2,1,5,7,6,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,4,1,5,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,4,1,5,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,3,2,5,7,6,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,4,2,5,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,3,5,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,1,4,5,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,2,4,5,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,3,4,5,7,6,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,3,4,5,7,6,8]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,6,5,4,2,1,7,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,3,6,5,2,1,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,6,5,3,1,7,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,4,5,6,3,1,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,6,5,4,1,7,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,3,5,6,4,1,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,6,5,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,3,6,5,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,4,6,5,1,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,4,2,6,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,5,4,6,1,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,5,4,3,2,7,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,5,6,4,3,2,7,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,6,5,3,2,7,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,5,4,6,3,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,5,6,3,2,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,5,6,4,2,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,3,6,5,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,4,3,6,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,5,3,6,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,5,4,6,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,3,5,6,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,4,5,6,2,7,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,5,6,4,3,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,4,6,5,3,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,6,5,4,3,7,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,2,5,6,4,3,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,4,6,5,3,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,4,5,6,3,7,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,2,1,6,5,4,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,1,5,6,4,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,1,6,5,4,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,1,5,6,4,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,6,5,4,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,2,5,6,4,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,6,5,4,7,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,3,5,6,4,7,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,3,2,1,6,5,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,3,1,6,5,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,4,1,6,5,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,1,6,5,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,4,3,6,5,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,3,6,5,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,2,4,6,5,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,3,4,6,5,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,4,6,5,7,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,5,4,2,1,6,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,4,3,1,6,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,5,3,1,6,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,5,4,1,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,5,4,1,6,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,3,5,1,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,4,3,2,6,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,5,3,2,6,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,5,4,2,6,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,4,5,2,6,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,5,4,3,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,4,5,3,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,5,4,3,6,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,1,5,4,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,1,5,4,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,2,5,4,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,5,4,6,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,4,3,1,5,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,4,3,2,5,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,4,2,5,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,4,3,5,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,4,3,5,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,3,2,4,5,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,2,3,4,8,6,7,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,5,8,6,7,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,7,5,6,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,7,5,6,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,8,5,6,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,8,5,7,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,3,8,6,5,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,3,8,6,7,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,4,5,8,6,7,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,4,7,5,6,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,4,8,5,6,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,4,8,6,5,7,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,5,4,8,6,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,6,4,5,3,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,6,4,5,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,6,4,5,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,7,4,5,6,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,8,4,5,6,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,8,4,6,7,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,8,4,7,6,5,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,7,5,4,6,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,5,4,6,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,8,5,4,6,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,8,5,4,7,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,8,5,6,4,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,5,6,7,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,8,6,5,4,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,8,6,5,7,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,8,7,5,6,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,2,4,8,6,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,7,5,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,2,8,5,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,8,6,5,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,8,6,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,2,8,6,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,5,8,6,7,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,4,8,5,6,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,4,8,6,5,7,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,4,8,6,7,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,6,4,5,2,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,4,5,7,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,6,4,5,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,6,4,5,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,4,5,6,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,7,4,5,6,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,8,4,5,6,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,8,4,6,5,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,5,4,6,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,8,5,4,7,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,8,5,6,7,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,8,5,7,6,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,8,6,5,7,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,8,7,5,6,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,3,5,8,6,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,8,5,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,3,8,5,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,8,6,5,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,8,6,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,3,4,2,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,3,4,2,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,3,4,2,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,3,4,6,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,3,4,6,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,3,4,6,7,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,5,3,4,6,7,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,3,4,7,6,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,3,4,8,6,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,4,5,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,3,4,5,8,7,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,3,4,5,6,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,3,4,5,6,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,3,4,5,6,7,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,3,4,6,7,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,3,5,4,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,3,5,4,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,5,4,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,5,4,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,5,4,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,5,6,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,5,6,7,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,3,5,7,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,3,6,5,4,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,3,6,5,4,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,6,5,4,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,7,5,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,7,6,5,4,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,4,3,5,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,3,5,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,4,3,5,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,4,3,5,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,4,3,6,5,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,3,6,5,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,3,6,7,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,4,5,3,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,4,5,3,2,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,5,3,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,5,3,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,5,3,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,4,5,6,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,5,6,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,5,6,3,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,5,6,7,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,4,6,5,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,4,6,5,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,6,5,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,7,6,5,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,7,5,4,3,6,2,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,4,3,6,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,5,4,3,6,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,5,4,3,7,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,5,4,6,3,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,4,6,7,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,5,4,7,6,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,4,5,3,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,6,4,5,3,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,4,5,7,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,7,4,5,6,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,7,4,6,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,6,5,4,3,7,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,6,5,4,7,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,7,5,4,6,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,7,5,6,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,3,4,8,6,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,3,5,8,6,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,3,8,5,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,3,8,5,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,3,8,6,5,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,8,6,7,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,3,8,6,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,5,8,6,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,4,8,5,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,4,8,5,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,8,6,5,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,4,8,6,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,5,4,8,6,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,4,5,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,4,5,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,6,4,5,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,4,5,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,8,4,5,7,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,4,6,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,4,6,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,4,6,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,4,7,6,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,7,5,4,6,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,8,5,4,6,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,8,5,4,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,7,5,6,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,5,6,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,5,6,7,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,5,7,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,8,6,5,4,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,8,6,5,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,8,7,5,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,1,7,5,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,8,5,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,1,8,6,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,1,8,6,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,5,8,6,7,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,4,7,5,6,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,7,5,6,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,8,5,6,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,8,5,7,6,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,8,6,5,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,4,8,6,7,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,5,4,8,6,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,4,5,1,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,6,4,5,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,4,5,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,6,4,5,8,7,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,7,4,5,6,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,8,4,5,6,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,7,4,6,5,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,4,6,7,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,7,5,4,6,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,7,5,4,6,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,5,4,6,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,7,5,6,4,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,7,5,6,4,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,5,6,4,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,5,6,7,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,8,5,7,6,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,8,6,5,4,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,3,1,8,6,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,5,8,6,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,7,5,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,8,5,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,8,5,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,8,6,5,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,8,6,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,3,4,1,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,3,4,1,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,3,4,6,7,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,3,4,6,7,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,5,3,4,6,8,7,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,3,4,7,6,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,3,4,8,6,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,3,4,8,7,6,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,3,4,5,1,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,3,4,5,7,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,3,4,5,8,7,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,3,4,5,6,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,8,3,4,5,6,7,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,3,4,5,7,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,3,5,4,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,3,5,4,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,5,4,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,3,5,4,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,3,5,4,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,5,4,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,3,5,6,4,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,3,5,6,7,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,3,5,7,6,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,3,6,5,4,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,3,7,5,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,3,7,6,5,4,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,5,4,3,8,6,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,3,5,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,3,5,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,4,3,5,8,7,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,4,3,5,6,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,4,3,5,6,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,4,3,5,7,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,4,3,6,5,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,3,6,5,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,3,6,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,4,3,7,6,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,4,5,3,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,5,3,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,5,3,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,5,3,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,4,5,3,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,4,5,6,3,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,4,5,6,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,5,6,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,5,6,7,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,4,6,5,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,4,6,5,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,6,5,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,7,6,5,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,7,5,4,3,6,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,5,4,3,6,7,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,5,4,3,7,6,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,7,5,4,6,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,4,6,7,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,5,4,7,6,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,6,4,5,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,4,5,6,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,7,4,6,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,7,5,4,6,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,7,5,6,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,1,4,8,6,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,5,8,6,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,7,5,6,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,8,5,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,8,5,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,1,8,6,5,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,1,8,6,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,4,1,8,6,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,5,8,6,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,4,7,5,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,4,8,5,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,4,8,6,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,4,8,6,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,4,5,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,4,5,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,4,5,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,4,5,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,7,4,6,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,4,6,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,4,6,5,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,5,4,6,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,5,4,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,5,4,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,7,5,6,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,5,6,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,5,6,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,5,7,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,8,6,5,7,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,8,7,5,6,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,3,1,5,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,3,1,5,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,3,1,6,5,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,1,6,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,3,1,6,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,3,1,7,6,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,1,8,6,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,1,8,7,6,5]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,3,5,1,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,3,5,1,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,3,5,1,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,5,6,1,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,3,5,6,8,7,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,2,3,5,7,6,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,3,5,8,7,6,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,2,3,6,5,1,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,3,6,5,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,3,6,5,8,7,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,7,5,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,3,7,5,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,3,8,5,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,3,8,5,7,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,7,6,5,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,3,8,6,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,8,7,6,5,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,2,3,4,1,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,3,4,1,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,3,4,1,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,3,4,6,1,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,3,4,7,6,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,3,4,8,6,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,3,4,8,7,6,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,2,3,4,5,1,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,3,4,5,8,7,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,3,4,5,7,6,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,2,3,4,6,5,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,4,7,6,5,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,2,3,5,4,1,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,3,5,4,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,3,5,4,7,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,5,4,7,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,3,5,4,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,3,5,4,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,3,5,4,7,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,3,5,6,4,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,5,6,7,4,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,3,5,7,6,4,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,3,6,5,4,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,6,5,4,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,3,7,5,6,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,3,7,6,5,4,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,2,4,3,1,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,2,4,3,1,6,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,4,3,1,7,6,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,4,3,1,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,4,3,6,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,4,3,6,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,3,6,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,4,3,7,6,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,4,3,7,6,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,3,8,7,6,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,4,3,5,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,4,3,6,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,3,6,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,3,6,5,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,3,6,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,4,3,7,6,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,4,5,3,1,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,4,5,3,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,5,3,8,7,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,4,5,3,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,5,3,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,4,5,3,7,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,4,5,6,3,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,4,5,6,7,3,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,4,5,7,6,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,4,6,5,3,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,4,6,5,3,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,4,7,5,6,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,4,7,6,5,3,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,2,5,4,3,1,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,5,4,3,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,2,5,4,3,7,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,5,4,3,7,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,5,4,3,6,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,4,3,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,5,4,3,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,5,4,6,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,5,4,7,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,6,4,5,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,4,5,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,4,5,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,4,5,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,7,4,5,6,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,7,4,6,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,6,5,4,3,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,2,6,5,4,3,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,6,5,4,3,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,6,5,4,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,7,5,4,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,7,5,6,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,7,6,5,4,3,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,3,2,1,8,6,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,2,7,5,6,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,2,8,5,6,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,2,8,5,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,2,8,6,7,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,2,4,1,6,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,4,1,7,6,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,2,4,1,8,7,6]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,2,4,6,1,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,4,7,6,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,2,4,6,5,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,2,4,6,7,5,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,3,2,4,7,6,5,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,2,5,4,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,2,5,4,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,2,5,4,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,5,4,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,5,4,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,2,5,4,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,2,5,4,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,2,5,6,4,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,2,5,6,4,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,2,5,6,7,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,3,2,5,7,6,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,3,2,6,5,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,3,2,7,5,6,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,3,2,7,6,5,4,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,3,4,2,1,6,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,2,1,7,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,2,1,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,4,2,6,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,4,2,7,6,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,4,2,7,6,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,4,2,8,6,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,2,5,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,2,6,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,2,6,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,2,6,5,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,5,2,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,4,5,2,8,7,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,4,5,2,7,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,4,5,7,6,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,3,4,6,5,2,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,4,7,6,5,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,3,5,4,2,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,5,4,2,7,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,4,2,7,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,5,4,2,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,4,2,6,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,4,2,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,5,4,2,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,4,6,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,4,6,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,4,6,7,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,5,4,7,6,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,6,4,5,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,6,4,5,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,6,4,5,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,6,4,5,7,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,7,4,5,6,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,7,4,6,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,6,5,4,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,3,6,5,4,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,6,5,4,2,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,6,5,4,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,7,5,4,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,7,5,6,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,7,6,5,4,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,4,3,2,8,6,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,2,5,1,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,2,5,8,7,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,3,2,5,7,6,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,3,2,6,5,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,3,2,6,5,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,3,2,6,5,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,3,2,6,7,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,3,2,7,6,5,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,4,3,5,2,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,3,5,2,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,3,5,7,6,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,3,6,5,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,3,6,5,2,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,3,7,5,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,3,7,6,5,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,5,3,4,2,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,3,4,2,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,3,4,7,6,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,3,4,6,5,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,3,5,4,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,3,5,4,2,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,5,4,2,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,5,4,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,3,5,4,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,3,5,6,4,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,3,6,5,4,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,4,3,2,7,6,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,4,3,7,6,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,4,3,6,5,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,4,6,5,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,4,1,3,6,5,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,4,6,3,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,1,6,3,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,6,1,3,5,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,6,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,3,6,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,4,6,3,8,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,6,3,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,6,1,3,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,4,6,8,3,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,1,6,8,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,6,1,8,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,6,8,1,3,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,4,1,3,6,5,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,4,6,3,5,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,1,6,3,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,1,3,5,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,4,6,3,7,5,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,6,3,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,6,1,3,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,6,7,1,3,5,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,4,1,3,6,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,4,6,3,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,1,6,3,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,6,1,3,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,6,7,3,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,1,6,7,3,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,1,7,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,7,1,3,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,4,6,7,8,3,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,1,6,7,8,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,6,1,7,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,6,7,1,8,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,7,8,1,3,5]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,4,3,7,5,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,1,3,7,5,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,4,7,3,5,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,1,7,3,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,7,1,3,5,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,7,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,3,7,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,1,7,3,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,7,8,3,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,1,7,8,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,7,1,8,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,7,8,1,3,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,4,1,5,3,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,5,1,3,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,1,7,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,1,3,5,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,1,5,3,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,5,1,3,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,5,7,3,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,1,5,7,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,5,1,7,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,5,7,1,3,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,4,5,7,8,3,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,5,1,7,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,7,1,8,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,7,8,1,3,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,4,3,8,5,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,3,8,5,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,4,8,3,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,1,8,3,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,8,1,3,5,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,4,3,5,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,5,3,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,5,8,3,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,1,5,8,3,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,1,8,3,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,5,8,1,3,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,4,1,5,3,6,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,5,6,3,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,5,1,6,3,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,5,6,1,3,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,4,5,6,8,3,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,1,5,6,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,5,1,6,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,6,1,8,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,6,8,1,3,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,4,1,3,5,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,4,1,5,3,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,1,3,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,4,1,5,6,3,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,1,6,3,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,5,6,1,3,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,4,1,5,6,7,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,5,6,1,7,3,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,6,7,1,3,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,4,1,5,6,7,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,5,1,6,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,5,6,1,7,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,5,6,7,1,8,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,5,6,7,8,1,3]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,5,3,6,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,3,6,4,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,5,6,3,4,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,1,6,3,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,6,1,3,4,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,5,3,6,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,3,6,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,1,6,3,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,6,1,3,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,6,8,3,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,1,6,8,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,6,8,1,3,4,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,5,1,3,6,4,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,6,3,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,1,6,3,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,5,3,6,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,5,6,3,7,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,1,6,3,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,6,1,3,7,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,6,7,3,4,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,1,6,7,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,6,1,7,3,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,5,3,6,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,1,3,6,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,5,6,3,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,1,6,3,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,6,1,3,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,5,6,7,3,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,1,6,7,3,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,7,1,3,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,5,6,7,8,3,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,5,1,6,7,8,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,6,1,7,8,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,6,7,1,8,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,6,7,8,1,3,4]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,5,3,7,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,3,7,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,5,7,3,4,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,1,7,3,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,1,3,4,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,5,3,7,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,3,7,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,5,7,3,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,7,8,3,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,1,7,8,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,7,1,8,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,7,8,1,3,4,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,5,1,3,7,4,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,7,3,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,5,1,4,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,5,7,1,4,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,3,5,1,7,4,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,5,7,1,4,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,1,5,7,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,5,7,1,8,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,5,7,8,1,4,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,5,3,8,4,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,1,3,8,4,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,8,3,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,1,8,3,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,8,1,3,4,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,5,1,4,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,3,5,8,4,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,5,1,8,4,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,5,8,1,4,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,5,3,4,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,5,1,6,4,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,5,6,1,4,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,1,5,6,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,5,1,6,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,5,6,1,8,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,5,6,8,1,4,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,5,3,4,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,5,1,3,4,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,3,5,1,4,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,5,1,6,4,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,5,6,1,4,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,3,5,6,1,7,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,5,6,7,1,4,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,5,1,6,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,5,6,1,7,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,5,6,7,1,8,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,5,6,7,8,1,4]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,6,3,7,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,3,7,4,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,6,7,3,4,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,1,7,3,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,7,1,3,4,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,6,3,7,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,3,7,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,6,7,3,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,7,3,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,7,8,3,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,1,7,8,3,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,7,1,8,3,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,7,8,1,3,4,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,6,3,7,4,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,7,3,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,7,1,3,4,5,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,6,1,3,4,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,1,6,4,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,1,4,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,6,7,1,4,5,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,6,3,4,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,1,3,4,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,6,1,4,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,3,6,7,4,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,6,7,1,4,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,3,6,7,8,4,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,1,6,7,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,6,1,7,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,6,7,1,8,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,6,7,8,1,4,5]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,6,3,8,4,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,3,8,4,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,6,8,3,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,1,8,3,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,8,1,3,4,5,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,6,3,4,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,3,4,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,1,6,4,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,1,4,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,1,6,8,4,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,6,1,8,4,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,6,8,1,4,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,6,3,4,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,1,3,4,5,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,3,6,4,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,6,1,4,5,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,4,1,6,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,6,1,8,5,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,6,8,1,5,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,6,1,3,4,5,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,3,6,4,5,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,1,6,4,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,6,1,4,5,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,4,6,1,5,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,3,4,6,1,7,5,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,6,7,1,5,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,4,6,1,7,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,6,7,8,1,5]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,7,3,8,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,1,3,8,4,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,7,8,3,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,1,8,3,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,8,1,3,4,5,6]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,7,3,4,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,3,4,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,3,7,4,8,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,1,7,4,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,7,1,4,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,3,7,8,4,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,1,7,8,4,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,7,8,1,4,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,7,3,4,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,1,3,4,5,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,1,7,4,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,7,1,4,5,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,3,4,7,5,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,1,7,5,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,7,1,5,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,3,4,7,8,5,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,1,4,7,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,4,1,7,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,7,1,8,5,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,7,8,1,5,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,7,3,4,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,7,1,3,4,5,6,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,3,7,1,4,5,6,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,3,4,7,5,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,1,4,7,5,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,1,7,5,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,4,7,1,5,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,3,4,5,7,1,6,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,4,5,7,1,8,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,4,5,7,8,1,6]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,8,3,4,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,8,1,3,4,5,6,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,3,8,4,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,1,8,4,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,1,4,5,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,1,3,4,8,5,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,1,4,8,5,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,1,8,5,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,4,8,1,5,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,1,3,4,5,8,6,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,1,4,5,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,4,1,5,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,5,1,8,6,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,5,8,1,6,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,4,5,6,8,1,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,4,2,6,5,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,2,6,5,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,6,2,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,1,6,2,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,1,2,5,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,4,2,6,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,6,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,4,6,2,8,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,6,2,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,4,6,8,2,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,1,6,8,2,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,6,8,1,2,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,4,2,6,5,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,2,6,5,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,4,2,6,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,6,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,1,6,2,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,6,1,2,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,1,6,7,2,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,6,7,1,2,5,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,4,2,6,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,2,6,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,4,6,2,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,1,6,2,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,1,2,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,4,6,7,2,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,6,7,2,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,1,7,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,7,1,2,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,4,6,7,8,2,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,1,6,7,8,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,6,1,7,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,6,7,1,8,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,6,7,8,1,2,5]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,4,2,7,5,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,2,7,5,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,7,2,5,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,1,7,2,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,1,2,5,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,4,2,7,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,7,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,4,7,2,8,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,1,8,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,7,8,1,2,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,4,2,7,5,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,2,7,5,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,1,2,5,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,4,5,2,7,6,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,5,2,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,5,7,2,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,7,1,2,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,4,2,5,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,2,5,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,4,5,2,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,5,1,2,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,4,5,7,2,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,5,7,2,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,5,7,1,2,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,4,5,7,8,2,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,1,5,7,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,5,1,7,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,7,1,8,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,5,7,8,1,2,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,4,2,8,5,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,2,8,5,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,4,8,2,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,1,8,2,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,8,1,2,5,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,4,2,5,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,5,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,1,5,2,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,5,1,2,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,4,5,8,2,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,1,5,8,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,8,1,2,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,4,1,2,5,6,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,5,1,2,6,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,4,5,6,2,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,5,6,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,5,1,6,2,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,6,1,2,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,4,5,6,8,2,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,1,5,6,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,5,6,1,8,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,5,6,8,1,2,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,4,2,5,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,1,4,5,2,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,1,5,2,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,4,5,6,2,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,1,5,6,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,1,6,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,1,4,5,6,7,2,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,1,5,6,7,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,5,1,6,7,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,6,1,7,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,4,5,6,7,8,2]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,4,1,5,6,7,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,5,1,6,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,5,6,1,7,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,5,6,7,1,8,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,1,5,2,6,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,2,6,4,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,6,2,4,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,1,6,2,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,1,2,4,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,5,2,6,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,2,6,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,5,6,2,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,1,2,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,5,6,8,2,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,1,6,8,2,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,1,8,2,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,6,8,1,2,4,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,5,6,2,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,1,6,2,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,6,1,2,4,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,5,1,2,6,7,4,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,1,6,2,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,6,1,2,7,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,1,6,7,2,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,1,7,2,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,6,7,1,2,4,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,5,2,6,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,2,6,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,5,6,2,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,1,6,2,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,1,2,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,5,6,7,2,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,6,7,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,6,1,7,2,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,6,7,1,2,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,5,6,7,8,2,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,1,6,7,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,6,1,7,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,7,1,8,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,6,7,8,1,2,4]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,5,2,7,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,2,7,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,7,2,4,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,1,7,2,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,7,1,2,4,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,5,2,7,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,2,7,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,5,7,2,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,7,2,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,7,8,2,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,1,7,8,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,7,8,1,2,4,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,5,2,7,4,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,2,7,4,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,5,7,2,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,1,7,2,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,7,1,2,4,6,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,5,2,4,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,2,4,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,2,5,4,7,6,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,2,4,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,2,5,7,4,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,5,7,4,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,2,7,4,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,5,7,2,4,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,5,2,4,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,2,4,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,5,2,4,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,2,5,7,4,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,2,5,7,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,5,2,7,4,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,5,7,2,4,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,2,5,7,8,4,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,5,7,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,5,2,7,8,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,7,2,8,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,7,8,2,4,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,5,2,8,4,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,2,8,4,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,5,8,2,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,1,8,2,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,5,2,4,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,2,4,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,2,5,4,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,5,2,4,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,2,5,8,4,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,5,8,4,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,2,8,4,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,5,8,2,4,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,5,2,4,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,2,4,6,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,2,5,4,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,5,2,4,6,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,5,6,2,4,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,2,5,6,8,4,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,5,2,6,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,6,2,8,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,6,8,2,4,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,5,2,4,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,5,1,2,4,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,3,5,2,4,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,5,6,4,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,5,2,6,4,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,5,6,2,4,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,2,5,6,7,4,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,5,2,6,7,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,6,2,7,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,6,7,2,4,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,5,6,7,8,4]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,3,5,2,6,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,5,6,2,7,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,5,6,7,2,8,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,5,6,7,8,2,4]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,6,2,7,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,1,2,7,4,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,7,2,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,7,1,2,4,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,1,2,7,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,6,7,2,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,7,2,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,7,1,2,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,1,7,8,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,7,8,1,2,4,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,6,2,7,4,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,7,2,4,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,7,1,2,4,5,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,6,2,4,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,2,4,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,2,6,4,7,5,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,2,6,4,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,6,2,4,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,6,7,4,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,6,2,7,4,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,1,6,2,4,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,1,2,4,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,2,6,4,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,2,6,4,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,6,2,4,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,2,6,7,4,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,2,6,7,4,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,2,7,4,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,2,6,7,8,4,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,6,7,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,6,2,7,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,6,7,8,2,4,5]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,6,2,8,4,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,8,2,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,1,8,2,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,8,1,2,4,5,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,6,2,4,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,2,4,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,2,6,4,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,6,2,4,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,2,6,8,4,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,6,8,4,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,6,2,4,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,1,2,4,5,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,2,6,4,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,6,2,4,5,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,2,4,6,5,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,4,6,2,5,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,2,4,6,8,5,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,4,6,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,4,6,8,2,5,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,6,2,4,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,1,2,4,5,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,3,2,6,4,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,6,2,4,5,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,3,4,6,2,5,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,2,4,6,7,5,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,4,6,2,7,5,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,4,6,7,2,5,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,4,6,7,8,5]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,3,4,6,7,2,8,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,4,6,7,8,2,5]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,7,2,8,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,2,8,4,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,7,8,2,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,1,8,2,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,8,1,2,4,5,6]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,7,1,2,4,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,2,7,4,8,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,2,7,4,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,7,2,4,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,2,7,8,4,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,7,2,8,4,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,7,8,2,4,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,7,2,4,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,1,2,4,5,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,7,2,4,5,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,2,4,7,5,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,2,4,7,5,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,4,2,7,5,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,2,4,7,8,5,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,4,7,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,4,2,7,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,4,7,8,2,5,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,7,2,4,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,7,1,2,4,5,6,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,3,2,7,4,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,7,2,4,5,6,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,4,7,5,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,4,7,2,5,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,2,4,5,7,6,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,4,5,7,2,6,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,4,5,7,8,6]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,3,4,5,7,2,8,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,4,5,7,8,2,6]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,8,2,4,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,1,2,4,5,6,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,2,8,4,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,2,8,4,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,8,2,4,5,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,4,8,5,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,4,8,5,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,4,2,8,5,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,4,8,2,5,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,1,2,4,5,8,6,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,2,4,5,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,4,2,5,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,4,5,2,8,6,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,4,5,8,2,6,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,1,2,4,5,6,8,7]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,3,4,5,6,8,2,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,5,2,6,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,2,6,3,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,5,6,2,3,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,1,6,2,3,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,1,2,3,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,5,2,6,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,2,6,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,5,6,2,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,6,2,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,6,1,2,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,6,8,2,3,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,1,6,8,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,6,1,8,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,6,8,1,2,3,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,5,2,6,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,5,6,2,3,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,1,6,2,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,1,2,6,7,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,1,6,2,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,6,1,2,7,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,6,7,2,3,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,1,6,7,2,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,6,1,7,2,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,5,2,6,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,1,2,6,7,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,5,1,6,2,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,1,2,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,5,6,7,2,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,1,6,7,2,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,1,7,2,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,6,7,1,2,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,5,6,7,8,2,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,5,1,6,7,8,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,6,1,7,8,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,6,7,1,8,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,5,2,7,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,7,2,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,7,1,2,3,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,5,2,7,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,2,7,8,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,5,7,2,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,7,2,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,7,1,2,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,1,7,8,2,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,7,8,1,2,3,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,5,2,7,3,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,1,2,7,3,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,7,2,3,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,1,7,2,3,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,5,2,3,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,2,3,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,2,5,3,7,6,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,5,3,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,5,2,3,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,2,5,7,3,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,5,7,3,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,2,7,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,5,7,2,3,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,5,2,3,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,5,3,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,2,5,3,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,5,2,3,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,2,5,7,3,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,2,5,7,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,5,2,7,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,7,2,3,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,2,5,7,8,3,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,5,7,8,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,5,2,7,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,7,8,2,3,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,5,2,8,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,1,2,8,3,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,8,2,3,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,1,8,2,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,8,1,2,3,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,5,2,3,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,2,3,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,2,5,3,8,6,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,5,3,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,5,2,3,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,2,5,8,3,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,5,8,3,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,2,8,3,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,5,8,2,3,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,4,2,5,3,6,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,2,5,6,3,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,5,2,6,3,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,6,2,3,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,2,5,6,8,3,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,5,6,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,5,2,6,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,6,2,8,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,5,6,8,2,3,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,5,2,3,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,1,2,5,3,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,2,5,3,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,5,2,3,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,5,6,3,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,5,2,6,3,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,5,6,2,3,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,2,5,6,7,3,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,5,6,7,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,5,2,6,7,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,6,2,7,3,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,5,6,7,2,3,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,5,6,7,8,3]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,4,2,5,6,7,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,5,2,6,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,5,6,2,7,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,5,6,7,2,8,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,4,5,6,7,8,2,3]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,6,2,7,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,7,2,3,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,7,1,2,3,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,1,2,7,8,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,6,1,7,2,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,7,1,2,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,6,7,8,2,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,1,7,8,2,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,7,1,8,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,8,1,2,3,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,6,2,7,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,2,7,3,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,6,7,2,3,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,1,7,2,3,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,7,1,2,3,5,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,6,2,3,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,2,3,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,2,6,3,7,5,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,6,3,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,2,6,7,3,5,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,6,7,3,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,6,2,7,3,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,6,7,2,3,5,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,6,2,3,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,6,3,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,6,2,3,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,2,6,7,3,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,6,2,7,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,6,7,2,3,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,2,6,7,8,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,6,2,7,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,6,7,2,8,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,6,7,8,2,3,5]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,6,2,8,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,2,8,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,6,8,2,3,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,1,8,2,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,8,1,2,3,5,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,6,2,3,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,2,3,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,2,6,3,8,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,6,3,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,6,2,3,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,2,6,8,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,6,2,8,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,6,8,2,3,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,6,2,3,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,1,2,3,5,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,2,6,3,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,2,6,3,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,6,2,3,5,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,2,3,6,5,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,2,3,6,5,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,6,3,5,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,2,3,6,8,5,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,4,3,6,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,6,8,3,5,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,6,2,3,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,6,1,2,3,5,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,4,2,6,3,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,6,2,3,5,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,3,6,5,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,3,6,5,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,6,3,5,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,2,3,6,7,5,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,3,6,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,4,6,7,3,5,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,3,6,7,8,5]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,4,2,3,6,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,4,6,7,3,8,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,4,6,7,8,3,5]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,7,2,8,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,2,8,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,7,8,2,3,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,1,8,2,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,8,1,2,3,5,6]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,7,1,2,3,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,2,7,3,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,2,3,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,2,7,8,3,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,7,8,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,7,2,8,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,7,8,2,3,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,7,2,3,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,1,2,3,5,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,2,7,3,5,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,2,7,3,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,7,2,3,5,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,2,3,7,5,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,2,3,7,5,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,3,7,5,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,7,3,5,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,2,3,7,8,5,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,3,7,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,4,3,7,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,7,3,8,5,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,4,7,8,3,5,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,7,2,3,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,7,1,2,3,5,6,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,2,7,3,5,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,2,7,3,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,7,2,3,5,6,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,3,7,5,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,3,7,5,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,3,7,5,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,4,7,3,5,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,2,3,5,7,6,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,3,5,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,4,5,7,3,6,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,3,5,7,8,6]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,4,2,3,5,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,4,5,7,3,8,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,4,5,7,8,3,6]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,8,2,3,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,1,2,3,5,6,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,2,8,3,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,2,8,3,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,8,2,3,5,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,3,8,5,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,3,8,5,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,3,8,5,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,4,8,3,5,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,1,2,3,5,8,6,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,2,3,5,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,4,3,5,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,5,3,8,6,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,4,5,8,3,6,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,1,2,3,5,6,8,7]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,4,2,3,5,6,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,4,5,6,8,3,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,4,2,3,5,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,1,6,2,7,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,2,7,3,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,7,2,3,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,1,7,2,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,1,2,3,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,6,1,2,7,8,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,6,7,2,8,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,1,2,8,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,6,7,8,2,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,6,1,7,8,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,7,1,8,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,6,2,7,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,1,2,7,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,1,7,2,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,6,2,3,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,2,6,3,7,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,6,3,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,2,6,7,3,4,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,2,6,7,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,6,2,7,3,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,6,7,2,3,4,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,1,6,2,3,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,1,2,3,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,2,6,3,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,2,6,3,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,6,2,3,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,1,2,6,7,3,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,6,7,2,3,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,2,6,7,8,3,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,2,6,7,8,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,5,6,2,7,8,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,6,7,2,8,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,6,7,8,2,3,4]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,6,2,8,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,1,2,8,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,1,8,2,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,8,1,2,3,4,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,6,2,3,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,1,2,3,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,2,6,3,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,6,3,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,6,2,3,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,2,6,8,3,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,2,6,8,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,6,2,8,3,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,6,8,2,3,4,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,1,6,2,3,4,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,1,2,3,4,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,2,6,3,4,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,2,6,3,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,6,2,3,4,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,2,3,6,4,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,5,3,6,4,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,6,3,4,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,2,3,6,8,4,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,2,3,6,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,5,6,3,8,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,6,2,3,4,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,1,2,6,3,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,2,6,3,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,6,2,3,4,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,2,3,6,4,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,2,3,6,4,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,3,6,4,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,5,6,3,4,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,1,2,3,6,7,4,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,2,3,6,7,4,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,5,3,6,7,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,6,3,7,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,2,3,6,7,8,4]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,5,2,3,6,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,5,3,6,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,5,6,3,7,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,5,6,7,3,8,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,5,6,7,8,3,4]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,1,7,2,8,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,2,8,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,7,8,2,3,4,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,7,1,8,2,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,8,1,2,3,4,6]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,7,2,3,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,2,3,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,2,7,3,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,7,3,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,7,2,3,8,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,2,7,8,3,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,2,7,8,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,7,2,8,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,7,8,2,3,4,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,1,7,2,3,4,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,1,2,3,4,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,2,7,3,4,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,2,7,3,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,2,3,4,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,1,2,3,7,4,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,2,3,7,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,5,3,7,4,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,7,3,4,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,2,3,7,8,4,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,2,3,7,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,5,7,3,8,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,5,7,8,3,4,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,7,1,2,3,4,6,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,1,2,7,3,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,2,7,3,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,7,2,3,4,6,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,5,2,3,7,4,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,3,7,4,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,5,7,3,4,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,5,2,3,4,7,6,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,5,3,4,7,6,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,5,7,4,6,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,2,3,4,7,8,6]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,5,2,3,4,7,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,5,3,4,7,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,5,7,4,8,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,5,7,8,4,6]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,1,8,2,3,4,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,8,1,2,3,4,6,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,1,2,8,3,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,2,8,3,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,8,2,3,4,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,2,3,8,4,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,2,3,8,4,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,3,8,4,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,5,8,3,4,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,1,2,3,4,8,6,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,2,3,4,8,6,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,5,3,4,8,6,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,5,4,8,6,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,5,8,4,6,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,2,3,4,6,8,7]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,5,2,3,4,6,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,5,3,4,6,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,5,6,8,4,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,5,2,3,4,6,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,2,5,3,4,6,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,7,2,8,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,1,2,8,3,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,7,8,2,3,4,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,1,8,2,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,7,2,3,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,2,3,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,1,2,7,3,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,2,7,3,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,7,2,3,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,2,7,8,3,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,2,7,8,3,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,7,2,8,3,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,7,8,2,3,4,5]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,1,7,2,3,4,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,1,2,3,4,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,2,7,3,4,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,2,7,3,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,2,3,4,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,2,3,7,4,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,2,3,7,4,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,3,7,4,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,2,3,7,8,4,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,2,3,7,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,6,3,7,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,6,7,3,8,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,6,7,8,3,4,5]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,7,2,3,4,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,1,2,7,3,4,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,2,7,3,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,7,2,3,4,5,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,2,3,7,4,5,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,2,3,7,4,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,6,3,7,4,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,6,7,3,4,5,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,1,2,3,4,7,5,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,2,3,4,7,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,6,3,4,7,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,6,4,7,5,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,6,7,4,5,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,2,3,4,7,8,5]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,6,2,3,4,7,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,6,3,4,7,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,6,4,7,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,6,7,4,8,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,6,7,8,4,5]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,1,8,2,3,4,5,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,8,1,2,3,4,5,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,1,2,8,3,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,2,8,3,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,8,2,3,4,5,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,2,3,8,4,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,2,3,8,4,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,6,3,8,4,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,6,8,3,4,5,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,1,2,3,4,8,5,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,2,3,4,8,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,6,3,4,8,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,6,4,8,5,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,6,8,4,5,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,2,3,4,5,8,7]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,6,2,3,4,5,8,7]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,6,3,4,5,8,7]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,6,4,5,8,7]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,4,6,8,5,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,6,2,3,4,5,7,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,2,6,3,4,5,7,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,2,3,6,4,5,7,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,1,8,2,3,4,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,1,2,8,3,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,2,8,3,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,8,2,3,4,5,6]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,1,2,3,8,4,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,7,2,3,8,4,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,7,3,8,4,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,7,8,3,4,5,6]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,1,2,3,4,8,5,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,2,3,4,8,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,7,3,4,8,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,7,4,8,5,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,7,8,4,5,6]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,1,2,3,4,5,8,6]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,7,2,3,4,5,8,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,7,3,4,5,8,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,7,4,5,8,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,4,7,5,8,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,4,7,8,5,6]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,7,2,3,4,5,6,8]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,2,7,3,4,5,6,8]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,2,3,7,4,5,6,8]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,2,3,4,7,5,6,8]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,8,2,3,4,5,6,7]=>0100000=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,2,8,3,4,5,6,7]=>0010000=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,2,3,8,4,5,6,7]=>0001000=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,2,3,4,8,5,6,7]=>0000100=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,2,3,4,5,8,6,7]=>0000010=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,3,2,6,1,4,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,2,5,4,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,2,3,7,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,5,2,3,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,5,2,3,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,2,1,3,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,5,4,2,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,5,1,3,2,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,4,3,1,2,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,4,3,2,8,1,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,4,3,7,2,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,4,3,8,2,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,4,3,8,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,4,3,1,8,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,5,1,3,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,1,5,4,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,5,4,8,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,1,5,4,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,1,3,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,4,3,1,7,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,4,3,7,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,3,6,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,5,7,3,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,7,1,3,4,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,1,7,3,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,1,6,7,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,6,7,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,6,8,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,1,6,8,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,6,1,8,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,6,8,1,3,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,2,1,8,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,2,8,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,2,8,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,2,7,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,2,6,7,4,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,2,6,8,4,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,2,7,8,1,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,7,1,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,2,1,7,8,5,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,1,2,8,7,6,5]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,2,8,1,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,2,8,7,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,8,6,5,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,7,2,6,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,8,2,6,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,2,7,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,2,1,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,8,1,2,7,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,1,8,2,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,8,3,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,6,8,7,3,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,8,7,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,8,1,7,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,8,7,1,2,4,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,8,7,2,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,8,6,2,4,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,6,2,4,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,8,6,1,4,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,8,1,6,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,1,8,6,5,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,7,8,6,5,3,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,1,7,6,5,4,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,7,1,6,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,8,7,6,1,4,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,7,5,4,1,3,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,4,3,6,5,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,4,1,2,6,5,8,7,10,9]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [4,3,2,1,6,5,8,7,10,9]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,3,2,5,4,1,8,7,10,9]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,3,2,5,4,7,6,1,10,9]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,3,2,5,4,7,6,9,8,1]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [4,5,6,1,2,3,8,7,10,9]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [3,5,1,6,2,4,8,7,10,9]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,5,6,3,4,8,7,10,9]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [2,1,6,5,4,3,8,7,10,9]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [6,5,4,3,2,1,8,7,10,9]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [8,5,4,3,2,7,6,1,10,9]=>111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [10,5,4,3,2,7,6,9,8,1]=>111101011=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [2,1,8,5,4,7,6,3,10,9]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,7,4,3,6,5,2,1,10,9]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,7,4,3,6,5,2,9,8,1]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [2,1,10,5,4,7,6,9,8,3]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,9,4,3,6,5,8,7,2,1]=>111010111=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [8,9,5,6,3,4,10,1,2,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [5,6,7,8,1,2,3,4,10,9]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [4,6,7,1,8,2,3,5,10,9]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [3,6,1,7,8,2,4,5,10,9]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [2,1,6,7,8,3,4,5,10,9]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [2,1,5,7,3,8,4,6,10,9]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,5,1,7,2,8,4,6,10,9]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [4,5,7,1,2,8,3,6,10,9]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,4,1,2,7,8,5,6,10,9]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [2,1,4,3,7,8,5,6,10,9]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [2,1,4,3,8,7,6,5,10,9]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,3,2,1,8,7,6,5,10,9]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [8,3,2,7,6,5,4,1,10,9]=>110111101=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [10,3,2,7,6,5,4,9,8,1]=>110111011=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [2,1,8,7,6,5,4,3,10,9]=>101111101=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [8,7,6,5,4,3,2,1,10,9]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,7,6,5,4,3,2,10,1,8]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,7,6,5,4,3,2,9,8,1]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,1,10,7,6,5,4,9,8,3]=>101111011=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [10,9,6,5,4,3,8,7,2,1]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,1,4,3,10,7,6,9,8,5]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [4,3,2,1,10,7,6,9,8,5]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [10,3,2,9,6,5,8,7,4,1]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [2,1,10,9,6,5,8,7,4,3]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,9,8,5,4,7,6,3,2,1]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [10,8,9,6,7,4,5,2,3,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,7,8,9,10,3,4,5,6]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [3,7,1,8,9,10,2,4,5,6]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [4,7,8,1,9,10,2,3,5,6]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [5,7,8,9,1,10,2,3,4,6]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [6,7,8,9,10,1,2,3,4,5]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,6,8,9,1,2,10,3,4,7]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [4,6,8,1,9,2,10,3,5,7]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [3,6,1,8,9,2,10,4,5,7]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,6,8,9,3,10,4,5,7]=>100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [2,1,5,8,3,9,10,4,6,7]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,5,1,8,2,9,10,4,6,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [4,5,8,1,2,9,10,3,6,7]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [7,3,2,8,9,10,1,4,5,6]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [3,4,1,2,8,9,10,5,6,7]=>010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [2,1,4,3,8,9,10,5,6,7]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [2,1,4,3,7,9,5,10,6,8]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,4,1,2,7,9,5,10,6,8]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,5,7,1,2,9,3,10,6,8]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,5,1,7,2,9,4,10,6,8]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,7,3,9,4,10,6,8]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,1,6,7,9,3,4,10,5,8]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [3,6,1,7,9,2,4,10,5,8]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,6,7,1,9,2,3,10,5,8]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,6,7,9,1,2,3,10,4,8]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [8,5,4,3,2,9,10,1,6,7]=>111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [2,1,5,6,3,4,9,10,7,8]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [3,5,1,6,2,4,9,10,7,8]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,5,6,1,2,3,9,10,7,8]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [3,4,1,2,6,5,9,10,7,8]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,1,4,3,6,5,9,10,7,8]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,1,4,3,6,5,10,9,8,7]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [4,3,2,1,6,5,10,9,8,7]=>111010111=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [6,3,2,5,4,1,10,9,8,7]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [10,3,2,5,4,9,8,7,6,1]=>110101111=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [2,1,6,5,4,3,10,9,8,7]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [6,5,4,3,2,1,10,9,8,7]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,5,4,3,2,9,8,7,6,1]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,1,10,5,4,9,8,7,6,3]=>101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [10,9,4,3,8,7,6,5,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [9,7,5,10,3,8,2,6,1,4]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,1,4,3,10,9,8,7,6,5]=>101011111=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [4,3,2,1,10,9,8,7,6,5]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,3,2,9,8,7,6,5,4,1]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,1,10,9,8,7,6,5,4,3]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,10,8,7,6,5,4,3,1,2]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [10,9,8,7,6,5,4,3,2,1]=>111111111=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) [3,2,5,1,4,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,2,5,1,3,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,2,4,1,3,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,6,1,4,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,2,6,1,3,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,6,1,2,4,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,2,4,1,3,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,5,1,2,4,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,2,7,1,3,4,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,7,1,2,4,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,4,7,1,2,3,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,2,7,1,3,4,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,7,1,2,4,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,4,7,1,2,3,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,3,5,1,2,4,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,3,6,1,2,4,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,4,6,1,2,3,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,8,1,4,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,2,8,1,3,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,2,8,1,3,4,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,4,8,1,2,3,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,2,8,1,3,4,5,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,8,1,2,4,5,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,4,8,1,2,3,5,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,5,8,1,2,3,4,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,2,8,1,3,4,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,3,8,1,2,4,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,4,8,1,2,3,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,5,8,1,2,3,4,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,4,1,3,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,5,1,2,4,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,6,1,2,4,5,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,7,1,2,4,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,7,1,2,3,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,7,1,2,3,4,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,5,7,1,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,5,7,1,3,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,5,7,1,2,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,4,7,1,3,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,4,7,1,2,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,6,7,1,3,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,6,7,1,3,4,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,6,7,1,2,4,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,5,7,1,3,4,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,5,7,1,2,4,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,2,4,6,1,3,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,4,6,1,2,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,5,6,1,2,4,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,5,8,1,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,5,8,1,3,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,5,8,1,2,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,4,8,1,3,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,6,8,1,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,6,8,1,3,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,6,8,1,2,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,6,8,1,3,4,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,4,8,1,3,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,4,8,1,2,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,5,8,1,3,4,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,5,8,1,2,4,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,4,5,8,1,2,3,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,7,8,1,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,7,8,1,2,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,7,8,1,2,4,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,7,8,1,3,4,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,7,8,1,2,4,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,4,7,8,1,2,3,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,2,4,8,1,3,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,4,8,1,2,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,5,8,1,2,4,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,5,8,1,2,3,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,6,8,1,2,3,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,4,6,1,3,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,4,6,1,2,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,5,6,1,3,4,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,5,6,1,2,4,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,4,7,1,3,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,5,7,1,3,4,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,5,7,1,2,4,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,6,7,1,3,4,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,6,7,1,2,3,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,2,5,1,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,2,5,1,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,3,5,1,2,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,2,5,1,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,3,5,1,2,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,2,4,1,3,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,3,4,1,2,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,2,6,1,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,3,6,1,2,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,2,6,1,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,3,6,1,2,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,2,5,1,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,5,1,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,2,4,1,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,3,4,1,2,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,2,6,1,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,6,1,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,3,6,1,2,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,4,6,1,2,3,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,2,4,1,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,3,4,1,2,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,3,5,1,2,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,4,5,1,2,3,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,2,7,1,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,7,1,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,3,7,1,2,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,2,7,1,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,3,7,1,2,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,4,7,1,2,3,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,2,7,1,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,3,7,1,2,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,5,7,1,2,3,4]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,2,4,1,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,2,5,1,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,3,5,1,2,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,4,6,1,2,3,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,2,6,1,5,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,2,6,1,4,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,2,5,1,4,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,2,5,1,3,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,2,4,1,3,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,2,7,1,5,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,2,7,1,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,3,7,1,2,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,2,7,1,4,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,2,7,1,3,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,3,7,1,2,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,3,7,1,2,4,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,2,5,1,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,2,5,1,3,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,2,6,1,4,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,2,6,1,3,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,3,6,1,2,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,2,6,1,3,4,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,6,1,2,4,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,3,5,1,2,4,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,2,8,1,5,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,2,8,1,4,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,3,8,1,2,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,2,8,1,4,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,2,8,1,3,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,3,8,1,2,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,2,8,1,3,4,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,3,8,1,2,4,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,4,8,1,2,3,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,2,8,1,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,2,8,1,3,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,3,8,1,2,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,8,1,2,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,4,8,1,2,3,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,2,8,1,3,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,2,5,1,4,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,2,5,1,3,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,2,6,1,4,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,2,6,1,3,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,3,6,1,2,4,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,2,4,1,3,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,2,5,1,3,4,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,2,7,1,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,2,7,1,3,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,3,7,1,2,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,2,7,1,3,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,3,7,1,2,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,4,7,1,2,3,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,3,7,1,2,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,2,4,1,3,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,2,5,1,3,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,3,5,1,2,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,2,6,1,3,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,3,6,1,2,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,4,6,1,2,3,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,2,5,8,1,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,3,5,8,1,2,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,2,4,8,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,2,5,8,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,3,5,8,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,2,4,8,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,3,4,8,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,2,6,8,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,3,6,8,1,2,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,2,6,8,1,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,4,6,8,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,3,4,8,1,2,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,3,5,8,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,2,5,7,1,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,5,7,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,3,5,7,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,4,7,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,2,6,7,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,3,6,7,1,2,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,6,7,1,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,3,6,7,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,2,5,7,1,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,3,5,7,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,4,5,7,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,2,4,6,1,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,2,5,6,1,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,3,5,6,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,2,6,8,1,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,6,8,1,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,2,6,8,1,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,3,6,8,1,2,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,2,5,8,1,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,3,5,8,1,2,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,2,4,8,1,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,2,7,8,1,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,7,8,1,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,2,7,8,1,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,3,7,8,1,2,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,2,7,8,1,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,3,7,8,1,2,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,2,7,8,1,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,2,5,8,1,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,3,5,8,1,2,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,3,4,8,1,2,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,2,6,8,1,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,2,6,8,1,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,3,6,8,1,2,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,2,4,8,1,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,3,5,8,1,2,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,2,5,7,1,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,2,5,7,1,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,2,4,7,1,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,2,6,7,1,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,2,6,7,1,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,2,6,7,1,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,3,6,7,1,2,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,2,4,7,1,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,3,5,7,1,2,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,2,4,6,1,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,3,4,6,1,2,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,2,5,6,1,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,3,5,6,1,2,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,7,2,6,1,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,2,6,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,2,6,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,2,5,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,2,5,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,3,5,1,2,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,6,2,5,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,2,6,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,2,6,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,2,6,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,3,6,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,8,2,5,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,8,3,5,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,8,2,4,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,8,3,4,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,2,7,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,2,7,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,2,7,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,3,7,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,2,7,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,8,2,7,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,8,3,7,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,2,5,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,3,5,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,8,2,4,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,8,3,4,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,2,6,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,6,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,8,2,6,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,8,3,6,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,8,4,6,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,2,5,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,3,5,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,6,2,5,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,2,4,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,7,2,5,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,2,4,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,7,2,6,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,2,6,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,3,6,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,2,6,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,7,2,4,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,7,2,5,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,7,3,5,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,3,2,7,1,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,3,2,7,1,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,3,2,7,1,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,4,2,7,1,3,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,2,6,1,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,4,2,6,1,3,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,3,2,5,1,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,3,2,8,1,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,3,2,8,1,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,4,2,8,1,3,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,4,3,8,1,2,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,2,8,1,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,4,2,8,1,3,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,3,2,8,1,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,4,3,8,1,2,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,5,2,8,1,3,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,3,2,6,1,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,4,2,6,1,3,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,4,2,5,1,3,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,5,2,4,1,3,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,3,2,7,1,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,3,2,7,1,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,4,2,7,1,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,4,3,7,1,2,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,3,2,6,1,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,4,2,6,1,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,4,3,6,1,2,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,5,2,6,1,3,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,6,2,4,1,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,6,2,5,1,3,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,6,3,5,1,2,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,8,3,7,2,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,7,2,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,7,2,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,7,3,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,7,2,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,7,2,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,7,3,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,7,2,4,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,7,3,4,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,6,2,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,6,2,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,6,3,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,6,2,4,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,3,8,2,7,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,8,2,7,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,8,2,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,4,8,2,7,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,4,8,3,7,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,8,2,6,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,8,2,6,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,8,2,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,8,2,5,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,4,8,2,5,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,5,8,2,4,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,3,7,2,6,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,7,2,6,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,7,2,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,7,3,6,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,7,2,5,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,4,7,2,5,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,5,7,2,4,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,3,6,2,5,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,4,6,2,5,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,4,6,3,5,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,5,6,2,4,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,4,3,2,8,1,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,4,3,2,8,1,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,5,4,2,8,1,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,4,3,2,7,1,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,4,3,2,7,1,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,3,2,7,1,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,4,2,7,1,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,4,3,2,6,1,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,5,3,2,6,1,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,5,4,2,6,1,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,3,2,5,1,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,4,2,5,1,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,5,2,4,1,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,1,2,3,4,7,5,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,2,3,6,4,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,2,3,7,4,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,2,3,6,4,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,3,8,7,4,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,2,3,6,7,4,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,2,8,3,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,5,3,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,2,5,3,4,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,2,6,3,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,2,6,3,4,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,2,5,3,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,5,3,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,6,3,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,5,3,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,2,8,6,3,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,2,8,7,3,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,2,7,6,3,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,2,5,6,3,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,2,5,7,3,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,2,7,6,3,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,2,5,6,3,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,5,8,7,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,2,8,6,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,5,6,7,3,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,8,2,4,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,2,6,4,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,2,7,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,2,6,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,2,8,7,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,8,2,6,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,2,3,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,1,4,2,3,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,4,2,3,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,2,3,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,2,3,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,5,2,3,4,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,1,5,2,3,4,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,7,2,3,4,5,6]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,1,5,2,3,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,2,3,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,2,3,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,5,2,3,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,2,8,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,2,7,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,2,6,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,2,7,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,2,6,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,2,6,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,5,2,7,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,8,2,6,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,2,6,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,2,6,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,2,8,7,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,2,6,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,2,6,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,2,6,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,4,8,2,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,8,5,2,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,7,5,2,4,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,6,2,4,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,7,6,2,4,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,5,2,8,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,5,2,7,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,6,2,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,5,2,7,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,4,5,2,3,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,4,5,2,3,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,4,6,2,3,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,4,8,2,3,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,4,6,2,3,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,6,5,2,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,8,5,2,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,8,6,2,3,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,6,5,2,3,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,5,2,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,5,2,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,6,2,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,5,2,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,5,2,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,4,8,6,2,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,4,8,7,2,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,4,7,6,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,5,6,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,5,7,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,7,6,2,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,1,7,5,6,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,5,6,2,3,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,4,5,7,2,3,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,4,7,6,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,7,5,6,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,5,6,2,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,4,5,8,7,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,4,8,6,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,8,5,6,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,5,6,7,2,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,1,3,4,7,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,8,1,3,6,4,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,1,3,7,4,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,1,3,6,4,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,3,8,7,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,1,3,6,7,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,1,8,3,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,5,3,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,1,5,3,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,1,6,3,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,1,6,3,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,5,3,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,5,3,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,5,3,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,8,6,3,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,8,7,3,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,7,6,3,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,5,6,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,1,5,7,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,1,7,6,3,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,1,5,6,3,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,5,8,7,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,8,6,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,5,6,7,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,1,2,4,5,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,3,1,2,4,8,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,1,2,4,7,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,2,4,7,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,3,1,2,8,4,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,1,2,7,4,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,1,2,6,4,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,1,2,7,4,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,2,6,4,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,1,2,6,8,4,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,1,2,8,7,4,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,1,2,6,7,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,1,2,6,7,8,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,4,1,2,3,5,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,4,1,2,3,8,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,1,2,3,7,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,1,2,3,7,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,1,2,3,4,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,1,2,3,7,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,1,2,3,7,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,1,2,8,3,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,1,2,7,3,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,1,2,6,3,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,1,2,7,3,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,1,2,6,3,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,1,2,6,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,1,2,7,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,1,2,6,3,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,1,2,6,3,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,1,2,6,8,3,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,1,2,8,7,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,1,2,6,7,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,1,2,6,7,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,4,1,2,6,7,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,3,1,8,2,5,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,1,7,2,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,1,6,2,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,8,2,7,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,6,2,7,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,1,5,2,4,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,1,5,2,4,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,1,6,2,4,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,1,8,2,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,1,6,2,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,1,5,2,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,5,2,7,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,6,2,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,5,2,7,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,5,2,3,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,1,5,2,3,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,6,2,3,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,1,8,2,3,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,1,6,2,3,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,1,5,2,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,1,5,2,3,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,1,6,2,3,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,1,5,2,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,5,2,8,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,5,2,7,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,6,2,7,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,5,2,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,1,5,2,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,1,5,8,2,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,1,5,7,2,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,8,6,2,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,1,8,7,2,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,1,7,6,2,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,1,5,6,2,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,1,5,7,2,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,1,7,6,2,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,5,6,2,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,1,5,6,2,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,1,5,7,2,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,1,7,6,2,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,1,5,6,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,1,5,6,2,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,5,6,8,2,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,1,5,8,7,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,1,8,6,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,5,6,7,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,1,5,6,7,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,1,5,6,7,8,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,3,8,1,4,7,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,8,1,6,4,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,8,1,7,4,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,7,1,6,4,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,5,1,8,7,4,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,8,1,6,7,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,4,1,3,5,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,4,1,3,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,4,1,3,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,4,1,3,7,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,1,3,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,5,1,3,4,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,5,1,3,4,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,7,1,3,4,5,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,6,5,1,3,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,5,1,3,7,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,8,1,3,7,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,5,1,3,7,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,4,1,8,3,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,4,1,7,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,1,6,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,4,1,7,3,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,4,1,6,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,1,6,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,5,1,7,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,1,6,3,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,5,1,6,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,4,1,6,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,1,8,7,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,4,1,6,7,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,5,1,6,7,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,1,6,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,4,1,2,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,4,1,2,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,4,1,2,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,4,1,2,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,5,1,2,4,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,7,1,2,4,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,5,1,2,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,1,2,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,1,2,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,1,2,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,4,1,2,3,8,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,4,1,2,3,5,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,7,4,1,2,3,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,5,1,2,3,4,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,7,5,1,2,3,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,4,1,2,8,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,4,1,2,7,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,4,1,2,7,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,5,1,2,7,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,4,1,2,7,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,3,4,1,8,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,4,1,7,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,1,6,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,4,1,7,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,4,1,6,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,1,6,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,5,1,7,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,1,6,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,1,6,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,4,1,6,2,3,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,4,1,7,2,3,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,4,1,6,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,5,1,6,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,4,1,6,2,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,4,1,6,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,4,1,8,7,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,1,6,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,1,6,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,4,1,6,7,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,4,1,6,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,8,1,7,5,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,5,1,4,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,7,5,1,4,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,6,1,4,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,7,6,1,4,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,6,5,1,8,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,5,1,7,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,6,1,7,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,6,5,1,7,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,4,5,1,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,4,5,1,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,6,1,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,4,8,1,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,4,6,1,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,5,1,3,4,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,8,5,1,3,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,8,6,1,3,4,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,6,5,1,3,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,4,5,1,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,5,1,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,6,1,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,5,1,7,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,4,5,1,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,5,1,2,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,4,6,1,2,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,6,5,1,2,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,8,5,1,2,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,8,6,1,2,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,6,5,1,2,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,5,1,2,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,4,5,1,8,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,5,1,7,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,6,1,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,6,5,1,7,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,5,1,7,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,4,5,1,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,4,8,6,1,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,4,8,7,1,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,4,7,6,1,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,8,5,6,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,8,5,7,1,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,8,7,6,1,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,3,7,5,6,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,4,5,6,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,4,5,7,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,4,7,6,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,7,5,6,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,4,5,6,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,4,5,7,1,2,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,4,7,6,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,7,5,6,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,4,5,6,1,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,5,8,7,1,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,3,4,8,6,7,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,5,6,7,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,4,5,6,7,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [9,1,2,3,4,5,6,7,8]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,1,2,3,4,5,6,9,7]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [7,1,2,3,4,5,9,6,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,1,2,3,4,5,8,6,7]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,1,2,3,4,5,8,9,6]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [6,1,2,3,4,9,5,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,1,2,3,4,8,5,9,7]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,1,2,3,4,7,5,6,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,1,2,3,4,8,5,6,7]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [8,1,2,3,4,7,5,9,6]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [6,1,2,3,4,7,9,5,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,1,2,3,4,9,8,5,7]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [9,1,2,3,4,7,8,5,6]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,1,2,3,4,7,8,9,5]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [5,1,2,3,8,4,6,9,7]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [9,1,2,3,6,4,5,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,1,2,3,9,4,5,6,7]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,1,2,3,9,8,4,6,7]=>10001100=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [9,1,2,3,6,8,4,5,7]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,1,2,3,6,9,8,4,7]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [5,1,2,3,6,7,8,9,4]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [4,1,2,8,3,5,6,9,7]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,1,2,9,3,5,8,6,7]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [4,1,2,9,3,8,5,6,7]=>10010100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [9,1,2,5,3,4,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,1,2,8,3,4,5,6,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,1,2,8,3,4,5,9,6]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,1,2,5,9,3,6,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,1,2,8,9,3,5,6,7]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,1,2,5,9,3,4,6,7]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,1,2,9,6,3,4,5,7]=>10011000=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [4,1,2,5,9,8,3,6,7]=>10001100=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [9,1,2,8,6,7,3,4,5]=>10010100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [4,1,2,5,6,7,9,3,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,1,2,9,6,7,8,3,5]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [9,1,2,5,6,7,8,3,4]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,1,2,5,6,7,8,9,3]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [3,1,9,2,4,5,6,7,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,1,8,2,4,5,6,9,7]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,1,9,2,4,5,8,6,7]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,1,5,2,7,4,9,6,8]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,1,4,2,3,5,6,9,7]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,1,4,2,3,5,8,6,7]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [6,1,4,2,3,7,8,9,5]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,1,8,2,3,4,5,6,7]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,1,7,2,3,4,5,9,6]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,1,4,9,2,5,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,1,4,9,2,5,8,6,7]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,1,9,8,2,4,5,6,7]=>10110000=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [9,1,4,5,2,3,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,1,4,5,2,3,8,9,6]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [7,1,4,9,2,3,5,6,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,1,4,8,2,3,5,6,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,1,6,5,2,3,4,7,8]=>10110000=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [7,1,9,6,2,3,4,5,8]=>10110000=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [9,1,8,6,2,3,4,5,7]=>10110000=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [7,1,8,9,2,3,4,5,6]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,1,4,8,9,2,5,6,7]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,1,8,9,7,2,4,5,6]=>10011000=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [8,1,4,5,6,2,3,9,7]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,1,4,9,7,2,3,5,6]=>10011000=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [8,1,9,5,6,2,3,4,7]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [8,1,9,7,6,2,3,4,5]=>10111000=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [7,1,4,5,6,2,8,9,3]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [3,1,4,5,6,9,2,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,1,4,5,6,8,2,9,7]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,1,4,9,8,7,2,5,6]=>10011100=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [3,1,9,8,6,7,2,4,5]=>10110100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [9,1,4,5,6,7,2,3,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,1,4,8,6,7,2,3,5]=>10010100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [9,1,8,5,6,7,2,3,4]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [8,1,4,5,6,7,2,9,3]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,1,4,5,6,7,9,2,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,1,4,9,6,7,8,2,5]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,1,9,5,6,7,8,2,4]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [9,1,4,5,6,7,8,2,3]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,1,4,5,6,7,8,9,2]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,9,1,3,4,5,6,7,8]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,8,1,3,4,5,6,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,7,1,3,4,5,9,6,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,9,1,3,4,5,8,6,7]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,7,1,3,4,5,8,9,6]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,6,1,3,4,9,5,7,8]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,9,1,3,4,8,5,6,7]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,8,1,3,9,4,5,6,7]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,9,1,3,8,7,4,5,6]=>01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [2,9,1,3,6,7,8,4,5]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,5,1,3,6,7,8,9,4]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,4,1,6,3,8,5,9,7]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,9,1,8,3,4,5,6,7]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,7,1,6,3,4,8,9,5]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [2,6,1,5,3,7,8,9,4]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [2,4,1,5,9,3,6,7,8]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,4,1,8,9,3,5,6,7]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,8,1,9,7,3,4,5,6]=>01011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [2,9,1,8,6,7,3,4,5]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,4,1,5,6,7,9,3,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,4,1,5,6,9,8,3,7]=>01000110=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28) [2,9,1,5,6,7,8,3,4]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,4,1,5,6,7,8,9,3]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,3,1,2,4,5,6,7,8]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,3,1,2,4,5,6,9,7]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,3,1,2,4,5,8,6,7]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [6,3,1,2,4,7,8,9,5]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,3,1,2,6,7,8,4,5]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [5,3,1,2,6,7,8,9,4]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,4,1,2,3,5,6,7,8]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [7,4,1,2,3,5,8,9,6]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [6,4,1,2,3,7,8,9,5]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [5,9,1,2,3,4,6,7,8]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [5,8,1,2,3,4,6,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [5,7,1,2,3,4,8,9,6]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,6,1,2,3,4,5,7,8]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,6,1,2,3,4,5,9,7]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,7,1,2,3,4,5,6,8]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,9,1,2,3,4,5,6,7]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,7,1,2,3,4,5,9,6]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [7,6,1,2,3,4,9,5,8]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,6,1,2,3,4,8,5,7]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,7,1,2,3,4,8,5,6]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [7,6,1,2,3,4,8,9,5]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [5,6,1,2,3,9,4,7,8]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [5,9,1,2,3,8,4,6,7]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [9,6,1,2,3,7,4,5,8]=>11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [9,8,1,2,3,7,4,5,6]=>11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [8,6,1,2,3,7,4,9,5]=>11000101=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [5,6,1,2,3,7,9,4,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,6,1,2,3,7,8,4,5]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [5,6,1,2,3,7,8,9,4]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [5,4,1,2,9,3,6,7,8]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [8,4,1,2,9,3,5,6,7]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [5,9,1,2,6,3,4,7,8]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,7,1,2,6,3,8,4,5]=>11001010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [5,4,1,2,6,9,3,7,8]=>11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [9,8,1,2,6,7,3,4,5]=>11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [5,4,1,2,6,7,9,3,8]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [5,4,1,2,6,7,8,9,3]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [4,3,1,9,2,5,6,7,8]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,3,1,8,2,4,5,6,7]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,4,1,5,2,3,6,7,8]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,4,1,8,2,3,5,6,7]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [6,9,1,5,2,3,4,7,8]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,7,1,6,2,3,4,5,8]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,7,1,9,2,3,4,5,6]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,7,1,6,2,3,4,9,5]=>11010001=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [9,4,1,6,2,8,3,5,7]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [9,8,1,6,2,7,3,4,5]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [4,3,1,5,9,2,6,7,8]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [9,8,1,7,6,2,3,4,5]=>11011000=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [4,3,1,5,6,8,2,9,7]=>11000101=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [4,3,1,5,9,8,2,6,7]=>11001100=>([(0,3),(0,4),(1,22),(1,24),(2,21),(2,23),(3,2),(3,16),(3,17),(4,1),(4,16),(4,17),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,22),(17,23),(17,24),(18,6),(18,12),(19,7),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25) [4,3,1,5,8,7,2,9,6]=>11001101=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [8,9,1,5,6,7,2,3,4]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [4,3,1,5,6,7,9,2,8]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [4,3,1,5,6,9,8,2,7]=>11000110=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [9,3,1,5,6,7,8,2,4]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,4,1,5,6,7,8,2,3]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [4,3,1,5,6,7,8,9,2]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [2,3,9,1,4,5,6,7,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,8,1,4,5,6,9,7]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,9,1,4,5,8,6,7]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,9,1,4,7,8,5,6]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,9,1,8,7,4,5,6]=>00101100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28) [2,3,8,1,6,7,4,9,5]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [2,3,5,1,6,7,9,4,8]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,9,1,6,7,8,4,5]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,5,1,6,7,8,9,4]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,9,4,1,3,5,6,7,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,6,4,1,3,7,8,9,5]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [2,9,5,1,3,4,6,7,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,6,9,1,3,4,5,7,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,9,7,1,3,4,5,6,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,9,8,1,3,4,5,6,7]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,6,7,1,3,4,8,9,5]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,9,4,1,6,3,5,7,8]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [2,8,4,1,9,3,5,6,7]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [2,9,4,1,6,3,8,5,7]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [2,9,8,1,7,3,4,5,6]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [2,9,5,1,6,7,8,3,4]=>01100010=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28) [9,3,4,1,2,5,6,7,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,3,4,1,2,7,8,9,5]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,3,7,1,2,4,5,6,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,3,8,1,2,4,5,6,7]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,5,4,1,2,3,6,7,8]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [8,5,4,1,2,3,6,9,7]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [6,9,4,1,2,3,5,7,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [6,8,4,1,2,3,5,9,7]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [9,7,4,1,2,3,5,6,8]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [9,8,4,1,2,3,5,6,7]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [6,9,5,1,2,3,4,7,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [6,8,5,1,2,3,4,9,7]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [8,7,5,1,2,3,4,9,6]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [6,7,9,1,2,3,4,5,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [6,9,8,1,2,3,4,5,7]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [9,7,8,1,2,3,4,5,6]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,7,8,1,2,3,4,9,5]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,5,4,1,2,8,3,9,7]=>11100101=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [9,8,5,1,7,2,3,4,6]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [7,8,9,1,6,2,3,4,5]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [7,8,5,1,6,2,3,9,4]=>01101001=>([(0,3),(0,4),(1,15),(1,25),(2,14),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,8),(7,9),(8,10),(9,11),(10,12),(11,13),(12,5),(13,5),(14,6),(15,7),(16,18),(16,23),(17,19),(17,23),(18,8),(18,21),(19,9),(19,22),(20,12),(20,13),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,6),(24,18),(25,7),(25,19),(26,16),(26,17),(26,24),(26,25),(27,14),(27,15),(27,16),(27,17)],28) [5,3,4,1,6,8,2,9,7]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,3,4,1,8,7,2,5,6]=>10101100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [8,3,4,1,6,7,2,9,5]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,5,4,1,8,7,2,3,6]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [8,5,4,1,6,7,2,9,3]=>11100101=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [5,3,4,1,9,7,8,2,6]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,3,5,1,6,7,8,2,4]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [9,5,4,1,6,7,8,2,3]=>11100010=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [5,3,4,1,6,7,8,9,2]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [2,3,4,9,1,5,6,7,8]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,4,9,1,5,8,6,7]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,4,9,1,7,8,5,6]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,4,6,1,7,8,9,5]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,3,9,5,1,4,6,7,8]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,9,6,1,4,5,7,8]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,7,9,1,4,5,6,8]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,9,8,1,4,5,6,7]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,9,5,1,7,4,6,8]=>00110100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28) [2,3,9,6,1,7,8,4,5]=>00110010=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [2,9,4,5,1,3,6,7,8]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,7,4,5,1,3,8,9,6]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [2,9,8,6,1,3,4,5,7]=>01110000=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [2,7,8,9,1,3,4,5,6]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,8,9,6,1,7,3,4,5]=>00110100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28) [2,9,6,5,1,7,8,3,4]=>01110010=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [7,3,4,5,1,2,8,9,6]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [9,3,4,8,1,2,5,6,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,3,4,8,1,2,5,9,6]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [7,3,8,9,1,2,4,5,6]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,8,4,5,1,2,3,6,7]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [7,8,4,6,1,2,3,9,5]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [9,8,6,5,1,2,3,4,7]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [7,8,9,6,1,2,3,4,5]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [7,8,6,5,1,2,3,9,4]=>01110001=>([(0,5),(0,6),(1,4),(1,17),(1,27),(2,3),(2,16),(2,26),(3,8),(3,19),(4,9),(4,20),(5,2),(5,21),(5,22),(6,1),(6,21),(6,22),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,23),(18,24),(19,10),(19,23),(20,11),(20,24),(21,26),(21,27),(22,16),(22,17),(23,12),(23,25),(24,13),(24,25),(25,14),(25,15),(26,18),(26,19),(27,18),(27,20)],28) [8,3,9,6,1,7,2,4,5]=>10110100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [8,3,6,5,1,7,2,9,4]=>10110101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,6,4,5,1,7,2,9,3]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [6,3,4,5,1,7,9,2,8]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [6,3,4,5,1,9,8,2,7]=>10010110=>([(0,3),(0,4),(1,15),(1,25),(2,14),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,8),(7,9),(8,10),(9,11),(10,12),(11,13),(12,5),(13,5),(14,6),(15,7),(16,18),(16,23),(17,19),(17,23),(18,8),(18,21),(19,9),(19,22),(20,12),(20,13),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,6),(24,18),(25,7),(25,19),(26,16),(26,17),(26,24),(26,25),(27,14),(27,15),(27,16),(27,17)],28) [9,3,4,6,1,7,8,2,5]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [6,3,4,5,1,7,8,9,2]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [2,3,4,5,9,1,6,7,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,4,5,8,1,6,9,7]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,5,9,1,8,6,7]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,3,4,5,7,1,8,9,6]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,9,6,1,5,7,8]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [2,3,4,9,7,1,5,6,8]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [2,3,4,9,6,1,8,5,7]=>00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [2,3,4,9,7,1,8,5,6]=>00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [2,3,9,5,6,1,4,7,8]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,3,8,5,6,1,4,9,7]=>00101001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [2,3,9,5,6,1,8,4,7]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,8,4,5,6,1,3,9,7]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,8,9,5,7,1,3,4,6]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,8,9,7,6,1,3,4,5]=>00111000=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28) [2,9,7,5,6,1,8,3,4]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [8,3,4,5,6,1,2,9,7]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,3,4,7,6,1,2,9,5]=>10011001=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,24),(3,1),(3,16),(3,17),(4,2),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,23),(17,22),(17,24),(18,7),(18,12),(19,6),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25) [8,3,9,7,6,1,2,4,5]=>10111000=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [8,3,7,5,6,1,2,9,4]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [9,7,4,5,6,1,2,3,8]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [8,9,4,5,6,1,2,3,7]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [8,9,7,5,6,1,2,3,4]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [8,7,4,5,6,1,2,9,3]=>11001001=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [7,3,4,5,6,1,9,2,8]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [9,3,4,5,6,1,8,2,7]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [9,3,7,5,6,1,8,2,4]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,3,4,5,6,1,8,9,2]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [2,3,4,5,6,9,1,7,8]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,4,5,6,8,1,9,7]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,3,4,5,9,7,1,6,8]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,4,5,9,8,1,6,7]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,4,9,6,7,1,5,8]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,3,9,5,6,7,1,4,8]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,3,9,5,6,8,1,4,7]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,9,4,5,6,7,1,3,8]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,9,4,5,6,8,1,3,7]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,9,4,5,8,7,1,3,6]=>01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [2,9,4,8,6,7,1,3,5]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,9,8,5,6,7,1,3,4]=>01100100=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [2,8,4,5,6,7,1,9,3]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [9,3,4,5,6,7,1,2,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,3,4,5,6,8,1,2,7]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,8,4,5,6,7,1,2,3]=>11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [8,3,4,5,6,7,1,9,2]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [2,3,4,5,6,7,9,1,8]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,5,6,9,8,1,7]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,3,4,5,9,7,8,1,6]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,3,4,9,6,7,8,1,5]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,9,5,6,7,8,1,4]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,9,4,5,6,7,8,1,3]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,3,4,5,6,7,8,1,2]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,3,4,5,6,7,8,9,1]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [3,5,2,6,1,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,6,4,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,7,4,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,7,4,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,2,3,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,7,2,3,8,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,6,2,3,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,6,2,1,3,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,1,6,4,2,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,1,3,2,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,6,3,1,2,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,7,3,2,8,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,3,2,8,6,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,7,3,8,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,3,8,2,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,7,3,8,1,2,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,7,3,1,8,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,1,3,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,1,7,4,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,7,4,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,7,4,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,1,7,4,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,1,3,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,7,3,1,8,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,7,3,8,1,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,3,8,5,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,7,3,8,5,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,7,8,3,1,4,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,7,8,1,3,4,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,7,1,8,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,1,7,8,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,6,7,8,4,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,6,7,8,4,3,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,1,7,8,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,7,1,8,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,7,8,1,3,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,7,2,1,8,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,7,2,8,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,2,8,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,7,2,8,3,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,7,8,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,7,8,4,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,7,8,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,2,7,1,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,1,7,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,1,2,7,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,2,7,1,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,7,8,1,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,7,8,5,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,7,8,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,7,2,8,5,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,7,2,8,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,7,2,8,1,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,2,1,8,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,7,1,2,8,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,1,7,2,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,7,3,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,6,7,8,3,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,1,7,8,2,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,7,1,8,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,7,8,1,2,4,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,7,8,2,1,4,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,7,8,2,4,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,7,8,2,4,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,7,8,1,4,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,7,1,8,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,1,7,8,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,7,8,5,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,1,7,8,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,7,1,8,5,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,7,8,1,4,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,7,8,4,1,3,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,2,1,6,5,8,7,10,9]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [3,5,2,6,4,1,8,7,10,9]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,5,2,7,4,8,6,1,10,9]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,5,2,7,4,9,6,10,8,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,1,5,6,4,3,8,7,10,9]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [4,5,6,3,2,1,8,7,10,9]=>001110101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [4,5,7,3,2,8,6,1,10,9]=>001101101=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [4,5,7,3,2,9,6,10,8,1]=>001101011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [2,1,5,7,4,8,6,3,10,9]=>100101101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [4,6,7,3,8,5,2,1,10,9]=>001011101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [4,6,7,3,9,5,2,10,8,1]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [2,1,5,7,4,9,6,10,8,3]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [4,6,8,3,9,5,10,7,2,1]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [2,1,4,3,7,8,6,5,10,9]=>101001101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [3,4,2,1,7,8,6,5,10,9]=>011001101=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [3,6,2,7,8,5,4,1,10,9]=>010011101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [3,6,2,7,9,5,4,10,8,1]=>010011011=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [2,1,6,7,8,5,4,3,10,9]=>100011101=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [5,6,7,8,4,3,2,1,10,9]=>000111101=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [5,6,7,9,4,3,2,10,8,1]=>000111011=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [2,1,6,7,9,5,4,10,8,3]=>100011011=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [5,6,8,9,4,3,10,7,2,1]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [2,1,4,3,7,9,6,10,8,5]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [3,4,2,1,7,9,6,10,8,5]=>011001011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [3,6,2,8,9,5,10,7,4,1]=>010010111=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [2,1,6,8,9,5,10,7,4,3]=>100010111=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [5,7,8,9,4,10,6,3,2,1]=>000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,7,8,9,10,1,4,5,3,2]=>000010011=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [6,7,8,9,10,1,4,5,2,3]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [6,7,8,9,10,4,3,2,1,5]=>000011110=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [6,7,8,9,10,1,3,4,5,2]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [6,7,8,9,10,3,4,1,2,5]=>000010100=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [6,7,8,9,10,3,4,2,1,5]=>000010110=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [6,7,8,9,10,2,3,4,1,5]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [2,1,4,3,6,5,9,10,8,7]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [3,4,2,1,6,5,9,10,8,7]=>011010011=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [3,5,2,6,4,1,9,10,8,7]=>010110011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [3,5,2,8,4,9,10,7,6,1]=>010100111=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [2,1,5,6,4,3,9,10,8,7]=>100110011=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [4,5,6,3,2,1,9,10,8,7]=>001110011=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [4,5,8,3,2,9,10,7,6,1]=>001100111=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [2,1,5,8,4,9,10,7,6,3]=>100100111=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [4,7,8,3,9,10,6,5,2,1]=>001001111=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [2,1,4,3,8,9,10,7,6,5]=>101000111=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [3,4,2,1,8,9,10,7,6,5]=>011000111=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [3,7,2,8,9,10,6,5,4,1]=>010001111=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [2,1,7,8,9,10,6,5,4,3]=>100001111=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [6,7,8,9,10,1,5,4,3,2]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,7,8,9,10,5,4,3,2,1]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [6,5,8,7,3,4,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,7,4,5,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,7,4,5,1,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,7,4,5,2,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,4,7,6,2,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,4,7,6,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,7,6,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,7,8,6,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,3,8,7,6,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,8,3,7,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,4,5,7,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,4,8,6,7,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,6,8,7,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,5,6,1,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,6,8,1,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,4,8,6,1,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,8,4,5,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,4,5,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,4,5,2,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,8,4,5,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,8,6,2,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,2,8,6,5,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,8,2,6,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,3,2,5,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,3,2,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,3,1,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,3,1,5,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,3,8,1,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,8,2,1,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,3,2,1,6,5,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,4,2,6,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,2,8,7,1,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,2,7,8,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,3,7,1,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,3,7,2,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,7,3,2,5,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,7,3,1,5,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,7,2,1,8,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,5,6,2,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,7,1,2,3,4]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,1,8,7,2,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,8,1,7,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,1,2,6,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,1,8,2,7,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,2,8,7,5,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,3,8,5,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,1,8,3,4,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,8,1,3,4,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,2,1,3,4,6,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,1,2,6,5,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,1,6,2,4,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,1,5,2,4,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,5,2,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,1,2,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,1,2,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,5,1,2,3,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,6,1,2,3,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,6,5,3,4,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,5,2,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,5,1,2,3,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,4,1,2,3,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,4,1,2,3,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,4,1,2,8,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,1,7,2,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,4,1,8,2,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,4,1,8,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,4,1,2,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,5,1,2,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,1,5,2,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,5,3,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,5,3,7,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,1,5,2,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,5,1,2,7,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,1,2,7,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,1,7,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,4,1,6,2,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,8,6,7,1,2,3,4]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,6,1,7,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,1,6,7,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,8,6,7,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,7,6,8,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,6,8,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,6,1,8,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,6,8,1,2,3,4]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,7,1,2,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,1,8,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,1,8,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,6,1,7,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,6,7,2,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,6,8,2,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,1,7,8,2,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,1,7,2,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,2,7,8,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,4,3,8,7,5,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,2,8,7,5,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,1,8,7,2,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,8,6,2,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,7,1,6,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,1,6,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,1,2,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,1,2,7,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,1,8,2,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,8,3,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,6,8,7,3,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,1,8,7,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,1,7,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,8,7,1,2,3,4]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,8,6,1,2,3,4]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,7,6,1,2,3,4]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,8,6,1,2,3,4]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,8,1,6,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,1,8,6,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,8,6,3,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,8,7,6,3,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,1,7,6,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,7,1,6,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,7,6,1,2,3,4]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,7,5,1,2,3,4]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,4,7,3,8,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,3,5,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,2,5,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,2,7,6,1,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,2,7,6,1,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,3,7,6,8,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,3,7,8,6,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,8,3,5,7,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,8,6,7,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,3,6,8,7,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,2,6,7,1,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,6,7,1,3,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,6,1,7,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,2,6,1,7,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,6,1,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,2,6,8,1,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,8,6,1,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,2,5,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,2,5,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,2,5,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,2,8,6,1,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,6,1,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,2,1,6,8,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,2,1,8,6,5,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,2,8,1,6,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,2,1,5,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,2,1,5,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,3,2,1,5,6,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,8,2,1,5,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,2,8,1,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,2,7,8,1,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,7,1,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,2,7,1,6,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,7,1,6,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,2,1,5,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,2,1,5,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,2,1,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,7,2,8,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,8,2,1,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,8,7,2,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,7,2,1,8,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,2,1,4,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,2,1,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,2,7,1,4,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,2,8,7,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,4,2,6,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,3,2,1,6,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,8,2,1,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,2,8,1,7,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,2,1,8,7,5,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,2,1,7,5,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,2,1,7,5,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,2,1,8,5,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,2,8,1,4,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,8,2,1,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,3,2,1,4,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,8,2,1,4,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,2,1,8,5,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,2,1,5,8,6,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,5,6,1,2,4,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,1,6,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,4,6,2,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,4,7,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,8,4,7,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,3,2,7,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,8,3,2,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,1,3,2,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,1,2,6,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,3,4,6,5,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,2,4,6,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,2,3,1,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,2,1,3,6,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,1,2,3,6,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,8,2,3,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,8,2,3,7,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,2,8,3,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,2,8,3,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,1,8,3,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,8,1,3,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,8,3,1,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,8,4,7,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,4,7,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,8,4,7,5,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,4,7,1,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,8,3,1,7,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,8,1,3,7,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,1,8,3,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,8,3,7,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,1,3,8,7,6,5]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,3,8,1,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,4,8,7,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,8,7,6,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,4,8,7,6,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,4,8,7,1,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,3,8,1,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,1,3,8,7,6,5]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,1,2,3,8,7,6,5]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,2,3,8,7,6,5]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,3,2,8,7,6,5]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,1,2,8,7,6,5]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,8,1,2,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,1,8,2,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,3,8,2,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,3,8,2,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,8,7,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,8,7,2,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,1,8,7,2,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,1,7,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,7,1,2,4,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,8,7,3,4,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,7,2,1,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,1,8,7,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,5,8,7,2,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,5,8,7,2,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,5,8,2,7,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,1,5,8,2,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,8,1,2,7,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,8,2,1,7,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,8,2,7,1,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,3,7,5,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,3,8,7,6,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,2,8,7,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,8,1,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,4,2,8,7,6,5]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,2,4,8,7,6,5]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,2,5,8,1,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,8,7,1,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,8,7,6,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,5,8,7,6,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,5,8,7,1,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,5,8,1,7,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,3,2,6,5,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,3,2,6,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,3,2,5,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,3,2,5,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,2,5,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,2,5,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,4,2,5,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,2,5,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,2,6,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,3,5,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,2,5,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,2,5,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,1,4,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,1,4,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,7,1,4,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,1,4,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,8,1,4,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,1,4,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,1,4,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,5,1,4,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,2,5,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,2,5,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,3,5,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,3,5,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,2,5,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,2,5,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,5,1,4,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,1,4,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,4,3,8,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,3,7,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,3,7,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,3,8,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,1,5,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,2,6,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,2,6,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,2,6,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,3,6,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,3,6,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,2,6,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,2,6,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,1,5,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,1,5,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,8,1,5,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,2,6,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,2,7,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,2,7,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,2,6,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,2,6,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,3,2,6,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,3,2,7,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,3,2,7,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,3,2,7,5,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,3,8,5,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,4,2,8,5,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,3,2,8,5,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,3,2,8,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,3,2,8,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,1,3,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,1,3,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,1,4,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,1,4,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,2,8,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,2,8,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,2,8,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,2,8,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,3,8,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,3,8,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,2,8,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,2,8,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,2,8,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,2,8,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,1,5,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,1,5,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,3,8,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,8,3,7,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,2,6,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,3,7,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,3,7,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,4,7,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,4,7,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,4,8,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,4,8,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,3,8,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,3,8,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,2,6,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,3,7,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,3,8,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,6,8,1,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,2,8,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,6,2,4,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,8,2,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,8,2,4,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,2,5,8,3,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,2,5,8,3,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,2,6,3,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,1,6,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,1,6,8,2,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,2,8,1,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,6,1,4,8,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,6,3,8,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,6,3,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,6,3,2,8,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,5,3,8,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,5,3,8,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,8,3,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,8,3,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,4,1,8,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,5,3,1,8,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,1,5,8,3,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,8,1,4,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,8,2,4,6,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,8,1,4,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,1,7,8,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,1,5,8,3,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,4,3,8,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,8,3,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,8,3,5,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,7,3,8,4,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,7,3,1,8,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,1,7,3,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,7,3,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,7,1,8,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,8,3,1,4,5,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,2,8,4,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,8,4,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,7,4,8,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,7,3,2,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,1,7,3,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,3,2,1,8,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,7,3,2,8,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,2,7,3,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,7,3,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,2,1,7,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,7,4,2,8,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,1,8,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,8,2,1,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,3,1,8,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,5,2,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,2,5,1,8,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,4,2,1,8,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,4,2,8,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,4,2,8,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,7,2,8,4,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,7,2,8,4,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,7,2,1,8,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,3,8,2,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,7,8,2,1,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,8,1,4,6,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,8,2,6,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,3,8,2,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,7,2,8,5,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,7,8,5,2,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,6,7,8,5,2,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,7,8,2,5,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,7,8,2,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,7,8,2,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,7,8,1,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,8,5,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,1,7,8,2,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,6,2,7,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,2,1,7,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,2,7,1,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,7,8,4,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,7,2,8,4,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,7,2,1,8,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,1,7,2,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,7,2,8,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,7,1,8,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,7,1,8,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,8,5,2,4,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,8,3,5,1,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,8,1,5,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,1,6,7,8,4,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,6,1,7,8,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,7,1,8,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,1,3,4,2,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,2,5,1,6,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,6,2,4,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,2,7,4,1,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,3,8,2,4,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,4,5,8,3,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,5,3,7,1,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,5,6,3,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,4,5,6,1,3,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,2,4,5,6,3,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,2,5,1,3,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,6,2,1,4,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,3,6,4,1,2,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,1,5,6,3,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,4,5,6,3,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,3,7,2,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,8,3,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,6,7,2,8,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,6,7,2,8,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,3,6,7,2,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,3,7,1,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,3,7,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,4,7,1,2,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,8,2,1,4,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,3,8,4,1,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,5,8,3,6,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,7,8,1,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,4,7,8,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,8,3,5,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,7,8,4,1,2]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,1,5,6,7,8,4,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,1,7,8,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,7,1,4,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,4,1,7,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,7,1,4,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,6,7,8,1,2,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,3,6,7,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,6,7,8,2,1,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,5,6,7,8,2,4,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,2,7,1,3,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,7,8,2,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,2,7,8,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,6,7,8,3,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,6,7,8,3,5,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,2,7,4,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,7,4,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,1,6,4,7,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,4,2,1,5,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,3,4,2,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,1,3,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,4,2,1,3,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,3,4,2,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,4,2,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,7,1,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,2,7,1,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,3,8,2,5,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,8,5,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,7,8,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,2,7,8,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,8,6,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,1,5,8,6,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,3,8,6,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,2,1,6,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,7,1,3,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,1,7,8,2,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,1,7,8,5,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,2,6,7,8,4,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,2,6,7,8,4,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,6,7,8,4,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,6,7,8,4,1,3]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,2,6,7,8,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,4,7,8,5,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,7,1,3,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,8,2,1,5,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,3,8,5,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,8,5,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,2,3,7,6,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,3,7,2,5,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,3,6,5,1,2,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,6,3,4,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,2,7,3,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,7,4,5,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,6,5,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,2,4,3,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,5,4,8,3,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,5,4,1,3,2,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,8,5,4,2,1,3,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,6,2,4,1,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,2,6,5,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,8,6,5,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,2,6,5,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,2,4,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,5,4,2,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,5,4,8,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,4,7,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,7,4,5,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,6,7,4,5,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,8,4,2,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,7,8,2,4,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,7,2,8,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,2,7,8,5,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,1,7,8,5,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,8,7,1,5,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,7,1,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,7,2,1,4,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,7,1,2,4,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,6,1,4,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,6,1,4,3,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,8,4,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,7,8,3,4,5,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,7,1,3,4,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,1,3,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,2,1,3,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,2,8,1,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,6,8,4,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,2,8,3,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,2,3,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,8,3,2,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,8,3,1,2,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,7,3,1,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,3,8,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,7,8,5,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,7,1,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,8,2,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,2,3,8,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,5,4,8,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,2,3,1,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,1,2,8,7,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,3,1,8,2,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,3,1,7,6,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,8,3,7,6,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,1,3,7,6,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,1,3,8,2,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,1,3,2,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,1,2,3,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,2,1,3,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,6,1,4,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,7,1,8,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,2,1,8,3,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,2,8,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,8,2,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,1,8,3,2,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,1,7,3,5,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,7,3,5,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,8,6,5,3,4,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,1,6,5,3,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,1,6,5,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,1,7,2,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,2,7,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,1,7,6,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,8,1,7,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,2,8,7,6,5,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,1,8,2,7,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,8,7,2,5,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,8,6,5,2,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,7,6,5,4,2,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,2,6,5,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,2,4,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,5,2,4,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,1,2,3,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,1,2,3,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,5,3,4,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,5,2,4,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,1,2,3,8,7,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,4,1,2,3,8,7,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,4,1,2,3,8,7,6]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,4,1,2,7,3,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,1,7,2,3,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,1,8,2,3,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,1,2,8,3,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,1,2,8,3,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,5,2,8,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,3,8,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,3,7,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,2,7,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,1,2,7,3,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,1,2,7,3,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,1,7,2,3,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,1,6,2,3,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,1,7,2,3,5,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,7,2,4,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,6,7,3,4,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,6,8,3,4,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,8,2,4,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,1,8,2,3,5,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,2,8,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,2,8,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,2,7,8,5,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,3,8,7,5,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,2,8,7,5,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,2,8,7,5,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,2,7,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,7,2,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,7,6,2,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,1,6,2,3,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,1,6,2,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,1,7,2,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,1,2,7,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,2,7,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,8,2,7,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,8,3,7,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,7,3,4,5,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,7,2,4,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,1,7,2,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,1,2,3,4,5]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,8,7,1,2,3,4,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,8,6,1,2,3,4,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,7,6,1,2,3,4,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,8,1,6,2,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,6,2,4,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,8,6,3,4,5,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,7,6,3,4,5,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,7,6,2,4,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,1,6,2,3,5,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,1,6,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,4,7,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,3,7,6,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,3,7,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,3,6,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,1,6,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,4,6,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,3,6,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,1,6,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,2,7,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,2,7,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,2,7,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,1,7,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,1,7,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,4,7,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,4,7,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,4,7,6,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,3,7,6,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,1,7,6,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,1,7,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,5,7,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,4,7,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,4,7,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,1,7,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,3,7,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,3,7,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,4,7,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,4,7,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,4,7,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,4,7,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,3,7,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,3,7,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,1,7,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,2,7,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,2,7,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,3,7,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,3,7,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,1,7,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,1,7,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,1,7,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,3,7,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,3,7,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,4,7,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,4,7,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,1,7,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,1,7,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,1,7,5,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,4,2,7,6,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,1,7,6,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,1,7,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,5,7,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,5,7,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,5,7,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,1,7,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,1,7,6,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,2,7,6,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,2,7,6,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,3,7,6,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,3,7,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,2,7,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,2,7,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,2,7,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,1,7,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,4,7,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,4,7,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,2,7,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,2,7,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,1,7,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,4,7,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,5,7,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,5,7,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,5,7,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,5,7,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,5,7,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,4,7,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,1,7,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,3,7,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,2,1,6,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,5,2,4,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,2,4,1,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,7,5,2,4,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,4,5,7,3,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,5,7,3,1,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,2,4,6,5,3,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,5,4,6,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,5,1,4,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,4,5,3,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,5,6,4,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,4,3,2,1,8,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,5,7,4,3,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,6,8,3,2,7,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,6,3,2,8,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,6,7,3,2,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,7,3,1,8,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,5,3,2,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,1,4,2,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,2,1,3,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,7,4,2,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,7,5,1,4,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,1,7,5,3,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,3,8,7,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,8,6,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,6,3,5,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,5,8,7,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,5,8,6,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,6,7,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,1,8,7,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,6,1,4,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,6,8,1,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,6,4,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,5,6,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,6,7,5,8,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,6,5,8,2,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,8,5,7,2,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,5,7,6,8,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,6,5,7,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,6,8,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,8,7,3,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,2,4,6,7,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,2,6,4,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,1,4,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,7,2,1,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,2,1,5,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,6,1,3,4,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,7,3,2,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,6,7,2,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,8,6,2,1,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,6,3,5,2,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,4,8,1,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,2,1,7,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,1,5,7,2,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,3,7,1,6,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,2,1,3,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,6,7,1,3,5,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,6,1,7,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,8,7,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,5,6,7,4,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,6,5,7,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,7,8,5,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,5,7,6,4,3,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,6,8,5,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,2,5,8,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,4,8,2,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,1,6,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,6,1,3,5,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,6,3,5,1,4,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,7,6,5,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,1,5,6,4,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,1,6,7,5,4,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,5,3,1,2,4,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,6,3,5,1,2,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,3,7,2,1,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,1,4,5,7,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,2,4,5,1,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,2,4,5,1,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,4,5,3,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,4,5,3,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,3,2,1,4,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,3,6,1,2,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,1,4,5,2,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,6,4,5,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,4,5,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,4,2,6,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,7,4,1,6,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,7,4,2,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,4,5,1,2,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,8,7,5,3,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,6,8,5,7,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,8,1,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,1,4,5,8,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,7,6,4,5,8,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,7,4,1,6,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,8,4,7,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,8,4,7,6,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,3,5,6,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,8,3,5,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,4,2,5,6,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,1,3,5,6,7,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,5,8,4,3,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,3,8,4,1,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,8,4,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,4,8,3,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,3,8,2,1,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,8,4,2,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,2,5,6,7,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,1,8,2,5,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,8,1,5,6,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,8,2,5,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,2,3,5,6,7,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,8,2,1,5,6,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,1,3,5,6,7,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,2,3,5,6,7,4]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [7,8,2,4,3,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,2,4,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,8,3,4,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,7,8,5,4,3,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,3,8,1,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,4,5,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,8,4,5,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,1,4,3,6,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,4,2,6,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,8,4,3,6,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,3,8,4,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,6,2,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,1,4,2,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,8,2,4,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,1,8,5,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,3,2,6,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,3,6,2,8,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,5,1,2,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,3,2,6,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,8,6,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,8,4,7,6,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,8,2,4,7,6,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,5,4,1,6,2,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,7,6,4,5,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,4,5,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,6,1,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,6,5,8,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,5,3,6,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,3,5,2,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,5,4,2,6,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,4,2,5,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,4,1,5,6,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,1,2,5,6,7,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,8,1,5,6,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,2,8,5,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,8,5,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,2,8,5,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,4,2,1,5,6,7,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,2,4,8,6,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,3,2,8,1,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,5,3,8,6,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,3,5,8,1,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,5,4,8,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,1,5,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,1,8,5,6,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,4,8,5,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,3,7,2,8,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,7,4,5,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,2,4,5,8,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,7,4,8,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,7,4,8,6,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,3,7,1,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,4,5,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,5,4,8,6,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,7,1,4,8,6,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,3,1,8,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,5,8,2,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,8,1,2,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,4,1,6,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,5,1,6,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,5,4,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,4,7,1,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,8,2,4,7,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,5,8,3,7,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,6,5,3,8,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,1,6,8,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,5,1,4,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,5,3,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,4,3,8,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,2,7,1,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,3,8,2,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,6,2,8,7,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,7,6,2,1,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,3,1,7,2,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,3,1,8,2,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,4,7,5,8,3,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,3,5,8,4,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,5,8,4,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,5,7,4,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,8,7,1,4,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,5,8,7,3,6,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,4,8,7,3,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,3,8,1,7,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,7,1,8,6,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,3,7,6,5,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,8,7,6,4,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,5,3,1,8,6,4,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,8,6,5,3,7,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,8,6,3,7,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,1,8,7,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,3,1,4,5,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,8,7,4,5,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,2,8,4,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,6,8,4,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,6,4,8,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,1,6,3,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,7,5,3,2,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,5,3,2,1,8,4]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,5,3,2,8,7,4,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,2,6,3,8,7,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,7,6,3,1,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,2,1,7,3,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,7,4,1,8,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,6,3,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,6,3,7,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,6,2,4,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,6,2,4,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,7,2,1,4,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,7,8,2,1,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,7,1,4,6,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,5,7,1,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,6,2,7,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,6,2,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,6,2,5,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,8,2,1,6,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,6,8,1,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,8,2,7,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,5,7,2,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,3,7,1,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,7,2,6,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,2,7,5,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,8,1,7,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,8,2,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,2,8,1,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,7,1,8,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,2,7,6,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,2,8,7,5,4,3,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,6,2,1,8,5,4,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,1,7,2,8,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,1,8,2,6,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,1,8,6,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,1,6,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,4,6,1,5,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,7,1,6,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,1,7,5,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,1,8,6,5,4,3,2]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,4,2,3,7,6,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,2,7,3,5,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,6,3,5,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,6,3,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,7,6,4,5,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,6,3,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,6,2,3,4,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,5,2,3,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,5,2,8,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,2,3,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,6,2,3,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,2,6,3,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,8,6,4,1,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,1,6,4,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,2,8,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,2,7,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,7,2,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,6,7,2,3,4,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,6,8,2,3,4,5]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,1,7,8,4,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,8,7,1,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,7,2,1,3,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,6,8,2,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,8,2,3,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,2,1,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,2,8,3,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,2,3,8,1,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,5,4,1,8,6,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,3,1,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,2,3,1,8,6,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,1,3,8,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,2,1,8,3,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,2,1,7,3,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,2,8,7,3,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,2,7,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,1,2,7,3,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,2,8,3,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,1,2,3,8,4,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,2,1,3,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,1,4,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,1,8,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,1,8,3,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,1,8,2,3,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,1,7,2,3,4,5]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,8,7,2,3,4,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,8,6,2,3,4,5]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,8,1,6,2,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,1,7,2,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,1,7,3,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,1,7,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,8,7,4,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,8,2,7,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,8,7,2,3,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,7,6,2,3,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,8,7,6,2,3,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,5,1,2,4,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,5,6,1,2,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,7,5,2,1,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,7,5,1,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,2,7,1,8,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,2,7,4,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,1,5,4,3,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,3,5,1,2,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,1,4,6,2,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,4,6,5,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,4,6,2,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,7,2,6,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,8,5,2,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,8,5,7,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,5,1,7,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,2,4,6,7,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,8,6,5,7,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,4,8,1,6,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,4,6,8,2,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,4,6,7,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,3,7,5,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,3,8,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,2,8,6,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,1,3,5,8,6,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,5,8,4,1,7,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,3,7,4,1,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,4,8,3,7,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,3,8,2,1,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,4,1,8,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,2,5,7,6,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,1,8,2,7,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,1,6,7,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,7,2,6,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,2,3,8,5,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,1,7,5,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,1,3,6,5,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,5,4,3,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,1,6,3,4,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,7,2,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,8,7,4,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,8,7,2,1,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,6,1,4,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,8,2,4,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,1,8,5,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,3,2,6,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,5,6,2,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,1,8,7,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,2,8,7,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,5,6,1,4,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,5,4,7,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,4,5,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,3,6,1,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,6,5,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,5,3,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,5,2,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,4,2,5,6,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,4,1,6,5,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,2,8,7,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,5,8,7,6,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,2,5,8,6,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,2,1,5,8,7,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,2,4,6,1,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,3,2,6,8,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,5,3,6,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,5,4,6,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,1,5,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,1,5,7,6,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,4,5,6,8,7,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,5,2,6,3,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,2,1,4,3,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,2,7,4,8,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,2,7,4,1,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,7,5,2,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,7,5,2,8,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,6,5,4,2,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,3,2,4,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,4,1,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,3,5,4,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,3,4,8,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,2,3,4,1,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,7,3,8,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,3,8,6,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,1,3,5,8,4,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,6,7,4,1,8,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,3,7,4,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,7,4,8,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,8,7,4,3,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,3,7,4,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,4,1,2,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,3,5,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,3,2,6,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,6,3,1,5,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,6,3,2,5,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,1,6,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,2,7,6,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,2,5,7,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,3,5,2,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,3,8,7,6,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,3,2,8,7,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,2,4,8,1,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,8,5,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,8,7,6,5,3]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,2,1,7,5,3,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,1,8,6,7,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,1,4,8,6,5,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,5,4,8,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,6,8,4,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,1,6,8,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,5,1,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,2,1,8,7,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,2,5,8,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,2,6,3,8,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,2,3,6,8,7,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,4,3,1,8,5,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,2,8,3,4,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,2,8,4,3,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,2,8,1,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,2,1,4,5,6,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,6,8,7,1,5,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,8,6,3,4,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,5,4,3,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,8,4,5,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,8,1,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,7,8,5,4,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,5,8,4,6,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,3,8,4,1,2,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,4,3,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,8,3,5,6,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,8,3,6,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,1,7,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,1,3,7,2,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,2,4,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,1,4,6,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,8,2,5,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,4,2,5,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,3,8,2,5,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,8,3,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,2,4,3,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,3,5,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,2,1,4,6,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,1,3,4,5,7,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,4,1,6,5,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,4,1,6,5,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,6,1,4,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,5,6,7,4,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,8,6,1,4,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,6,1,4,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,2,4,1,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,8,2,4,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,5,3,4,7,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,5,3,4,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,3,4,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,7,6,1,4,5,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,5,3,6,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,6,7,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,5,3,4,7,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,5,3,4,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,5,3,4,6,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,7,2,4,6,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,2,7,3,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,2,8,3,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,2,8,3,1,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,2,4,6,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,8,6,1,4,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,8,2,1,3,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,2,1,8,7,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,6,1,4,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,7,2,4,1,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,2,4,6,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,2,7,3,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,2,6,3,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,2,3,7,6,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,2,7,3,4,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,7,4,3,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,2,6,4,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,2,8,6,4,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,6,8,7,3,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,2,8,3,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,2,3,8,7,5,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,2,3,8,6,5,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,2,3,8,6,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,3,7,6,5,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,2,3,8,5,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,6,8,4,3,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,2,8,4,5,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,8,2,3,1,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,8,2,4,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,8,2,4,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,2,8,3,4,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,2,8,3,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,2,7,3,4,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,7,4,3,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,6,8,7,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,6,8,4,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,8,6,3,4,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,8,3,6,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,3,6,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,4,8,6,2,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,4,8,6,5,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,6,5,8,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,6,7,8,3,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,6,5,7,3,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,6,3,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,7,3,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,6,2,4,8,7,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,6,2,4,8,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,5,6,8,4,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,2,8,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,5,8,4,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,6,5,8,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,2,6,3,8,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,2,3,5,8,7,6]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,1,2,3,7,8,6,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,5,2,7,3,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,7,8,3,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,6,8,5,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,5,6,8,7,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,5,2,6,3,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,6,1,4,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,2,1,5,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,2,1,6,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,1,2,5,7,3,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,8,1,5,7,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,8,1,7,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,4,7,2,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,3,4,5,1,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,5,4,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,4,1,2,3,6,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,3,6,5,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,2,1,5,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,2,6,4,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,2,5,6,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,1,6,5,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,2,1,7,5,4,3,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,8,7,5,4,3,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,8,2,6,4,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,1,6,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,2,7,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,5,8,7,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,1,8,4,2,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,2,1,5,3,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,7,5,8,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,7,5,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,7,1,5,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,7,6,4,2,8,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,7,5,6,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,2,8,6,4,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,1,7,6,4,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,7,3,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,5,8,3,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,6,8,2,4,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,8,5,3,1,4,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,6,1,4,7,3,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,7,3,8,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,1,4,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,7,5,2,1,3,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,5,6,7,2,8,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,7,6,1,8,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,6,2,7,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,5,8,3,2,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,5,7,1,2,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,5,6,3,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,3,4,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,1,4,2,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,4,3,8,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,4,5,8,7,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,4,1,8,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,5,4,8,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,4,5,8,7,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,1,4,2,7,6,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,4,7,8,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,2,4,1,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,2,8,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,5,8,1,4,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,6,3,4,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,6,2,3,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,7,2,6,5,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,1,5,6,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,7,8,1,6,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,8,7,6,5,3,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,4,7,8,2,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,7,4,5,6,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,7,1,6,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,5,6,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,3,5,7,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,1,2,5,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,5,2,4,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,5,6,1,4,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,8,2,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,8,7,1,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,7,5,2,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,7,8,5,1,4,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,6,8,5,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,8,5,1,2,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,1,6,4,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,8,6,2,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,8,6,3,5,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,7,6,5,4,1,2]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,1,7,6,5,3,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,1,6,4,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,7,5,1,4,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,6,7,5,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,6,5,4,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,4,2,7,1,3,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,2,5,1,3,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,6,1,8,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,6,1,7,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,6,2,4,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,1,2,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,2,7,1,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,7,1,2,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,7,4,1,2,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,1,5,2,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,5,1,2,4,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,4,2,3,8,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,2,3,7,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,6,3,8,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,4,2,3,8,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,6,1,4,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,7,5,2,8,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,8,5,2,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,6,3,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,2,4,7,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,5,7,1,2,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,5,7,1,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,6,2,7,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,8,1,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,5,8,1,2,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,7,4,8,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,6,7,2,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,7,1,4,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,7,2,4,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,7,3,8,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,3,8,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,6,3,7,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,6,7,2,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,1,6,8,2,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,3,7,1,8,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,2,7,8,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,6,4,7,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,4,8,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,1,5,8,6,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,1,2,8,6,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,3,8,1,6,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,1,8,5,2,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,1,7,5,2,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,2,8,1,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,8,5,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,8,2,7,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,8,7,1,3,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,8,7,1,2,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,8,7,1,2,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,7,6,1,2,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,7,6,1,2,3,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,8,7,1,2,3,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,8,7,1,2,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,5,8,7,1,3,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,8,2,7,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,4,7,5,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,7,1,6,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,7,6,1,3,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,8,7,6,1,2,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,8,7,6,1,2,3,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,6,3,1,4,2,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,3,8,2,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,7,4,5,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,4,5,8,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,7,8,5,3,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,8,1,2,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,4,5,3,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,8,4,1,6,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,8,4,2,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,1,4,8,6,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,5,3,1,8,4,7,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,8,1,5,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,3,1,2,5,7,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,1,4,2,6,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,8,4,1,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,5,6,7,8,1,9]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,5,6,8,9,1,7]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,5,7,8,9,1,6]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,6,7,8,9,1,5]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,5,6,7,8,9,1,4]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,4,5,6,7,8,9,1,3]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [3,4,5,6,7,8,9,1,2]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,5,6,7,8,9,10,1]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [2,3,4,5,6,7,8,9,1,10]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,4,5,6,7,1,8,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,4,5,6,7,8,10,1,9]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,4,5,6,1,9,7,8]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,3,4,5,6,7,9,10,1,8]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,4,5,1,8,9,6,7]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,4,5,6,8,9,10,1,7]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,4,1,7,8,9,5,6]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,4,5,7,8,9,10,1,6]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,1,6,7,8,9,4,5]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,3,4,6,7,8,9,10,1,5]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,1,5,6,7,8,9,3,4]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,3,5,6,7,8,9,10,1,4]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,4,5,6,7,8,9,2,3]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,4,5,6,7,8,9,10,1,3]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,4,5,6,7,8,9,10,1,2]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,6,4,5,7,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,2,7,4,6,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,6,2,4,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,5,1,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,6,2,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,6,3,4,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,6,3,4,5,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,7,3,4,5,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,5,7,3,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,7,6,2,3,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,5,2,4,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,2,4,5,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,6,3,4,5,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,3,1,2,8,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,5,2,3,7,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,2,1,7,3,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,2,1,8,3,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,3,2,8,4,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,2,3,1,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,5,1,8,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,6,2,7,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,5,2,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,2,3,6,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,1,7,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,3,7,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,2,7,3,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,1,7,3,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,6,1,7,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,5,7,2,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,3,7,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,2,7,3,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,2,7,1,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,1,2,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,6,1,8,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,1,5,8,2,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,1,5,8,4,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,1,3,6,8,2,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,3,4,6,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,5,1,6,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,3,8,7,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,4,5,8,7,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,3,4,8,7,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,2,8,7,1,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,1,8,7,2,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,3,7,6,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,8,3,7,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,1,7,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,2,3,5,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,2,4,6,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,3,8,2,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,8,2,6,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,8,7,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,7,1,4,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,8,6,1,3,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,8,7,3,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,2,7,6,1,3,4,5]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,8,7,3,4,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,8,7,2,4,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,8,3,6,2,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,5,8,7,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,8,7,6,1,2,3]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,3,7,5,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,6,2,5,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,7,3,2,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,6,7,3,2,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,5,3,7,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,5,3,6,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,1,3,6,2,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,3,6,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,3,2,6,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,1,3,2,6,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,3,2,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,3,2,7,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,3,2,7,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,5,4,6,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,3,6,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,3,2,6,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,4,3,2,5,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,4,3,2,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,1,3,2,5,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,8,3,2,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,3,8,2,5,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,1,2,5,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,4,1,3,2,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,1,3,2,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,1,3,6,2,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,1,4,6,8,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,8,3,6,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,3,2,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,8,3,2,5,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,3,8,2,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,7,2,5,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,3,2,8,6,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,4,3,2,8,7,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,3,8,7,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,4,8,7,1,2,3]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,4,1,7,8,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,3,1,7,2,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,1,2,7,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,3,2,1,8,6,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,5,3,1,8,2,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,4,1,8,7,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,1,4,8,6,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,3,2,8,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,1,3,2,8,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,1,2,8,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,3,1,2,7,5,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,3,8,2,7,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,3,8,7,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,3,1,7,2,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,3,1,8,2,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,1,3,8,2,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,1,8,3,2,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,1,8,4,5,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,1,4,5,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,1,3,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,3,7,8,2,4,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,3,7,2,8,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,3,7,2,1,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,8,3,2,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,4,8,3,2,1,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,8,3,1,2,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,4,1,6,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,4,8,1,7,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,8,1,2,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,3,2,8,1,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,7,2,1,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,3,7,1,2,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,7,1,8,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,7,8,2,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,3,7,2,8,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,3,2,7,8,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,3,2,6,8,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,2,1,3,4,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,2,7,4,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,8,2,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,1,2,5,8,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,7,8,4,3,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,7,4,1,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,1,2,5,4,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,3,1,4,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,3,2,4,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,1,3,7,6,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,7,4,2,1,6,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,5,1,6,8,3,4,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,2,1,8,7,4,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,7,2,8,1,3,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,6,1,2,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,7,1,8,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,2,4,3,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,2,4,3,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,2,4,3,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,2,4,3,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,2,5,3,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,2,5,3,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,2,5,3,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,2,6,3,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,2,6,3,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,2,7,3,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,8,3,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,8,3,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,8,3,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,8,3,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,8,4,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,3,8,4,6,5,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,7,4,6,5,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,2,7,4,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,7,3,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,7,3,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,7,3,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,6,3,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,6,3,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,5,3,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,5,3,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,5,3,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,4,3,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,4,3,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,4,3,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,4,3,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,3,4,6,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,2,3,4,6,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,2,3,4,7,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,2,4,3,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,4,3,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,4,3,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,4,3,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,5,3,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,5,3,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,5,3,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,6,3,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,6,3,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,3,8,4,7,5,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,2,8,4,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,8,3,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,8,3,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,8,3,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,8,3,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,7,3,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,7,2,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,7,5,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,8,5,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,8,5,1,2,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,3,4,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,8,3,4,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,7,5,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,7,2,4,3,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,8,4,3,1,7,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,8,4,3,1,2,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,8,4,1,6,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,8,4,1,6,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,8,4,1,3,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,8,4,2,1,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,8,2,4,1,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,8,5,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,6,8,5,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,8,5,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,2,8,5,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,2,4,1,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,8,4,2,1,3,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,8,4,1,3,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,8,4,1,2,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,4,1,2,3,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,7,8,1,5,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,8,1,5,2,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,1,5,3,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,8,1,3,5,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,8,2,1,6,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,2,8,1,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,8,1,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,8,1,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,2,8,1,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,2,1,6,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,8,1,3,5,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,8,1,5,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,1,5,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,8,1,5,4,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,8,1,4,5,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,1,4,5,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,8,1,4,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,1,3,4,5,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,7,8,2,1,4,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,2,8,1,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,8,1,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,6,8,4,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,8,3,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,8,3,2,1,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,8,3,1,4,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,3,1,6,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,8,3,1,6,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,3,8,1,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,8,1,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,3,8,1,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,8,2,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,3,2,8,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,3,8,1,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,5,4,8,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,2,8,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,3,8,2,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,3,8,1,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,8,1,2,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,8,1,2,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,8,3,1,2,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,8,3,1,2,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,3,1,4,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,3,2,1,4,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,7,8,1,5,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,2,1,4,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,8,1,3,4,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,1,4,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,8,1,4,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,1,4,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,8,1,2,5,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,1,2,5,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,8,1,2,4,5,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,8,1,3,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,2,1,3,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,7,8,1,4,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,8,1,3,2,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,8,1,2,4,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,1,2,3,5,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,2,8,5,1,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,7,5,2,6,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,5,4,2,6,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,2,8,5,4,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,8,5,4,3,1,7,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,4,5,6,1,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,5,7,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,4,5,3,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,3,5,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,8,4,5,6,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,7,5,2,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,3,8,5,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,2,8,5,1,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,8,2,5,6,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,8,5,2,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,8,5,1,3,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,5,2,1,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,7,5,1,2,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,7,1,5,6,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,1,7,5,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,7,6,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,2,1,7,5,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,5,7,1,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,2,7,4,1,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,2,6,4,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,1,8,6,4,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,1,8,7,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,8,2,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,8,4,2,3,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,5,8,3,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,7,3,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,7,4,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,1,8,7,6,3,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,3,8,4,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,8,6,1,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,4,8,6,5,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,3,5,8,6,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,4,7,8,6,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,4,6,2,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,7,1,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,4,1,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,1,4,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,6,8,4,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,5,1,8,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,5,8,4,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,5,8,3,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,6,3,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,1,7,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,2,7,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,4,7,2,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,4,7,8,2,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,6,8,5,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,4,5,7,1,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,4,6,1,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,4,3,6,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,4,1,2,6,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,3,2,1,6,5,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,3,2,5,4,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,3,2,5,4,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,2,5,4,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,5,2,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,1,6,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,1,5,6,3,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,1,6,5,4,3,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,6,1,5,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,6,5,1,3,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,4,3,2,7,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,6,4,3,7,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,7,4,3,1,8,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,7,5,1,3,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,1,5,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,1,7,5,4,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,1,8,5,4,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,8,1,5,4,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,8,5,1,3,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,8,4,3,1,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,8,4,3,7,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,4,3,6,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,7,4,3,6,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,7,5,6,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,8,5,6,3,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,8,5,7,3,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,6,7,1,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,8,6,1,7,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,8,6,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,1,7,6,8,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,7,1,6,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,7,6,1,8,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,7,6,8,1,3,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,5,8,3,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,5,7,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,5,6,7,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,6,8,2,3,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,5,7,8,2,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,7,1,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,1,7,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,6,7,8,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,1,5,7,3,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,1,7,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,5,7,1,2,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,4,7,2,1,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,4,7,2,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,6,2,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,2,6,7,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,2,6,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,3,2,7,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,3,2,7,1,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,2,1,7,8,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,2,1,4,3,7,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,1,4,3,8,7,6]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,4,1,2,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,3,2,8,7,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,3,2,8,6,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,3,2,7,6,5,4]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,4,7,2,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,4,8,2,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,8,2,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,4,8,2,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,5,8,1,2,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,5,1,8,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,1,5,8,3,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,6,8,7,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,6,1,8,7,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,8,1,7,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,6,8,7,1,2,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,6,5,8,7,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,5,8,6,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,7,6,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,6,7,5,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,7,8,5,4,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,5,7,8,6,1,4,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,7,8,1,6,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,1,7,8,6,5,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,8,1,7,6,5,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,7,1,6,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,8,7,6,1,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,8,7,5,4,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,4,6,1,8,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,1,7,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,1,7,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,1,7,5,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,2,1,7,5,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,6,2,7,5,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,2,6,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,2,1,6,8,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,8,4,3,1,7,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,8,4,1,7,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,7,5,1,8,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,6,1,8,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,6,5,7,1,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,5,6,1,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,5,1,8,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,4,1,7,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,5,3,1,8,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,2,1,6,7,5,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,4,2,6,7,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,3,2,7,6,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,2,1,7,6,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,3,1,7,6,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,1,6,7,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,5,1,6,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,6,1,7,5,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,6,5,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,6,5,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,1,2,7,5,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,1,2,6,8,4,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,4,1,2,6,7,5,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,1,2,7,6,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,5,3,7,6,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,2,7,6,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,1,2,7,6,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,5,8,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,6,1,5,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,5,1,7,6,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,1,5,8,3,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,7,1,5,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,6,5,8,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,1,6,8,4,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,1,6,7,5,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,3,1,7,6,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,1,7,6,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,2,7,6,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,6,2,5,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,1,5,8,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,1,5,7,6,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,4,1,7,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,1,7,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,4,8,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,4,7,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,2,7,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,2,5,8,3,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,5,7,6,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,3,5,7,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,2,3,7,6,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,3,7,6,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,2,6,8,4,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,6,7,5,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,4,2,7,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,5,7,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,2,5,7,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,2,5,7,6,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,3,2,7,6,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,3,2,7,6,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,1,3,7,6,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,2,3,7,6,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,3,7,6,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,3,7,6,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,3,5,7,6,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,3,5,7,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,1,3,5,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,5,7,6,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,2,3,7,6,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,2,4,7,6,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [10,8,9,5,6,7,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,8,9,4,5,6,1,2,3,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,7,8,5,6,9,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,7,8,4,5,9,1,2,3,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,6,7,4,5,8,1,2,3,9]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,7,8,3,4,9,1,2,5,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,6,7,3,4,8,1,2,5,9]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,8,10,5,6,7,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,8,10,4,5,6,1,2,3,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,7,10,5,6,8,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,7,10,4,5,8,1,2,3,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,6,10,4,5,7,1,2,3,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,7,10,3,4,8,1,2,5,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,6,10,3,4,7,1,2,5,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,7,9,5,6,10,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,7,9,4,5,10,1,2,3,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,6,9,4,5,10,1,2,3,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,6,8,4,5,9,1,2,3,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,7,9,3,4,10,1,2,5,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,6,9,3,4,10,1,2,5,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,6,8,3,4,9,1,2,5,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,6,10,5,7,8,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,6,10,4,7,8,1,2,3,5]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,5,10,4,6,7,1,2,3,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,6,10,3,7,8,1,2,4,5]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,5,10,3,6,7,1,2,4,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,6,9,5,7,10,1,2,3,4]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,6,9,4,7,10,1,2,3,5]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,5,9,4,6,10,1,2,3,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,5,8,4,6,9,1,2,3,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,6,9,3,7,10,1,2,4,5]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,5,9,3,6,10,1,2,4,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,5,8,3,6,9,1,2,4,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,4,9,3,5,10,1,2,6,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,4,8,3,5,9,1,2,6,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,6,10,2,7,8,1,3,4,5]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,5,10,2,6,7,1,3,4,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,6,9,2,7,10,1,3,4,5]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,5,9,2,6,10,1,3,4,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,5,8,2,6,9,1,3,4,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,4,9,2,5,10,1,3,6,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,4,8,2,5,9,1,3,6,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,1,2,4,3,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,5,6,2,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,3,4,2,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,3,2,4,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,8,3,4,5,6,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,3,8,4,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,1,4,5,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,3,1,4,2,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,1,5,6,8,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,8,5,6,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,8,5,6,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,4,2,6,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,2,4,5,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,2,8,4,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,7,4,5,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,2,4,8,6,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,4,2,8,7,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,5,8,7,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,5,1,7,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,1,2,3,8,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,4,1,3,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,8,3,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,8,7,3,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,5,1,7,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,2,1,8,3,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,6,7,8,3,4,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,6,7,3,8,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,6,7,3,1,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,2,3,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,8,3,2,1,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,4,8,1,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,8,1,2,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,3,7,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,6,7,2,1,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,6,7,2,8,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,5,2,7,8,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,2,5,6,8,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,7,8,6,4,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,7,8,6,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,7,1,8,6,5,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,1,2,8,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,8,1,2,7,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,7,1,5,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,7,3,5,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,6,3,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,3,6,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,3,6,5,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,2,8,6,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,3,4,8,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,7,1,8,6,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,2,3,6,5,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,7,1,6,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,1,2,6,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,7,1,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,2,5,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,4,8,7,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,8,3,7,4,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,3,4,7,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,4,8,1,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,7,2,3,5,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,1,7,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,7,2,1,6,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,1,2,3,6,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,6,2,1,4,3,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,7,2,3,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,2,7,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,7,5,3,4,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,7,3,5,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,5,4,7,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,7,3,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,2,4,3,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,6,1,2,4,3,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,1,4,2,3,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,6,4,1,3,2,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,8,4,7,2,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,7,5,4,3,6,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,8,4,3,7,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,7,3,2,5,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,1,7,3,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,3,1,6,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,1,3,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,3,1,2,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,7,1,2,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,4,1,7,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,4,7,1,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,2,6,5,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,5,6,7,4,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,5,7,1,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,5,7,1,2,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,5,1,7,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,3,1,7,2,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,3,7,1,2,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,1,3,7,2,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,2,8,1,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,4,8,3,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,4,5,3,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,5,7,2,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,3,7,2,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,3,1,4,2,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,1,3,2,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,3,2,7,1,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,5,2,7,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,7,4,3,5,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,7,3,4,5,6,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,4,5,7,1,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,2,3,7,1,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,1,5,4,2,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,1,5,2,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,4,2,1,7,3,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,4,2,1,7,6,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,5,4,2,1,3,8,7]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,5,4,2,3,1,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,2,5,1,4,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,3,1,2,8,7]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,5,4,1,3,2,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,4,1,2,7,6,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,4,1,6,3,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,1,6,3,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,4,1,6,5,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,5,4,1,3,7,6,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,4,3,1,7,6,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,3,2,5,1,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,8,5,3,7,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,2,5,1,7,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,3,1,7,2,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,4,1,3,7,2,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,4,1,6,5,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,1,6,2,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,5,2,1,4,3]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,7,4,3,6,2,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,2,7,6,4,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,8,7,6,4,3,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,8,7,6,4,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,2,7,6,4,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,4,3,6,2,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,5,2,4,3,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,4,2,3,7,6,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,4,2,6,5,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,4,2,6,3,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,4,2,6,3,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,1,7,6,4,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,1,7,6,4,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,1,7,6,5,4,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,3,1,5,4,7,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,3,1,5,4,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,7,6,5,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,1,7,6,2,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,4,2,6,1,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,4,2,6,5,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,4,2,3,7,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,2,5,4,7,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,8,5,4,7,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,7,6,5,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,4,3,6,5,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,6,5,3,1,4,2]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,7,6,5,1,3,2,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,5,1,3,4,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,6,5,1,4,3,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,6,5,4,1,3,2]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,7,4,3,6,1,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,2,7,6,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,8,7,6,3,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,2,7,6,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,6,5,1,4,2,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,7,6,5,1,2,4,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,3,5,1,8,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,1,8,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,6,2,1,8,7,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,5,2,7,4,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,3,1,8,6,5,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,5,1,8,4,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,4,1,8,5,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,4,2,1,8,7,5,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,6,4,2,7,5,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,3,2,7,6,4,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,2,1,8,7,6,4]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,5,3,1,7,8,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,4,1,7,8,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,5,1,7,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,7,1,6,8,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,1,2,8,4,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,1,2,8,5,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,1,2,8,6,4,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,1,2,8,6,5,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,2,5,8,3,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,3,4,8,2,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,5,6,8,2,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,1,5,7,8,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,1,6,8,5,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,3,1,8,6,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,1,6,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,2,5,7,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,1,5,8,7,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,1,5,8,6,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,4,1,8,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,1,8,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,1,4,8,6,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,1,4,8,7,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,2,4,7,3,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,1,3,8,7,4,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,3,8,5,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,1,3,8,4,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,7,1,4,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,1,4,8,3,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,3,8,7,5,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,1,4,7,8,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,4,6,8,2,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,3,5,8,2,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,2,4,8,3,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,3,1,6,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,5,2,3,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,3,5,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,2,4,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,5,2,4,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,1,6,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,3,5,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,1,5,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,3,4,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,7,3,4,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,6,7,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,8,5,7,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,3,4,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,1,5,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,3,5,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,4,5,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,4,5,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,6,7,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,6,7,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,3,4,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,3,4,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,2,7,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,3,5,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,4,7,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,5,7,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,5,7,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,5,7,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,4,6,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,4,6,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,3,6,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,3,6,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,3,5,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,8,4,7,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,3,6,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,2,5,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,1,7,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,1,7,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,4,1,7,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,3,6,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,4,6,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,2,3,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,1,7,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,3,1,7,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,1,7,5,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,4,2,8,6,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,1,8,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,2,3,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,5,6,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,5,6,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,2,4,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,1,8,6,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,2,8,6,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,2,8,6,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,3,8,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,2,8,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,6,2,8,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,2,8,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,6,2,5,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,4,6,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,3,8,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,1,6,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,4,6,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,5,6,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,5,6,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,5,6,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,4,8,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,4,8,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,3,8,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,4,5,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,1,7,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,2,8,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,6,1,3,4,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,3,6,2,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,4,7,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,1,4,7,2,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,1,2,5,7,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,8,2,5,7,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,2,4,5,6,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,8,1,5,4,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,2,1,6,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,3,5,6,4,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,1,4,2,3,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,1,4,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,5,3,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,4,3,2,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,1,4,3,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,8,3,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,6,8,3,7,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,5,3,1,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,5,8,1,4,7,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,8,4,7,6,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,2,4,7,3,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,2,1,4,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,2,5,3,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,5,1,3,6,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,3,6,2,4,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,6,1,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,7,2,1,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,7,5,2,4,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,1,2,4,5,8,7]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,4,7,2,5,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,8,3,5,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,1,8,4,2,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,5,8,2,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,6,7,8,1,4,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,5,7,8,2,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,7,6,1,4,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,6,8,1,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,5,6,8,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,8,4,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,8,5,3,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,8,5,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,8,5,6,7,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,1,6,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,8,5,4,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,4,5,6,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,2,8,6,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,7,1,5,2,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,7,8,1,2,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,8,5,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,3,6,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,6,3,2,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,7,8,6,1,3,4,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,8,1,3,4,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,3,8,2,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,3,4,8,2,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,5,4,1,2,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,5,1,7,8,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,3,4,5,8,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,6,4,1,8,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,6,4,8,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,4,8,3,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,6,5,3,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,5,6,3,8,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,2,7,1,8,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,2,7,3,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,7,4,2,8,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,6,4,1,8,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,1,5,2,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,2,4,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,5,2,8,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,5,3,8,4,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,5,4,2,3,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,5,3,4,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,1,5,3,2,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,6,4,1,2,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,5,4,3,1,8,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,5,2,4,3,1,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,6,1,2,5,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,4,2,5,3,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,4,2,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,2,5,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,3,7,5,4,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,1,3,7,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,3,5,6,4,2,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,1,6,4,5,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,6,5,1,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,6,3,1,5,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,4,1,5,3,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,5,4,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,1,2,3,4,7,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,7,2,3,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,8,2,3,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,2,3,7,6,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,8,1,3,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,3,5,4,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,4,1,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,1,2,4,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,4,1,5,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,3,5,7,1,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,1,7,8,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,3,6,8,4,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,4,7,8,5,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,7,6,8,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,3,7,6,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,8,1,4,6,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,7,4,1,6,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,4,1,8,6,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,4,6,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,1,8,6,3,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,6,5,3,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,8,5,7,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,2,7,5,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,6,7,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,8,7,6,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,4,7,6,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,4,3,6,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,8,3,1,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,8,7,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,8,7,2,5,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,3,7,1,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,3,8,6,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,3,7,8,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,7,6,4,2,8,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,7,4,1,6,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,8,1,2,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,5,1,2,3,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,5,2,4,3,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,5,3,1,2,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,1,2,7,6,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,1,2,6,8,7,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,6,1,8,4,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,1,2,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,2,7,5,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,6,1,7,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,1,2,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,3,1,7,6,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,5,7,1,6,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,7,8,1,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,7,5,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,5,8,7,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,4,5,8,6,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,6,8,5,2,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,6,2,8,4,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,6,1,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,3,1,6,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,7,5,8,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,7,5,3,8,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,2,7,3,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,1,7,5,2,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,3,7,5,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,2,6,8,5,4,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,1,2,5,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,2,4,8,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,1,7,8,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,7,5,1,8,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,4,1,5,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,7,1,5,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,8,1,3,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,6,8,3,4,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,8,3,1,5,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,6,4,1,5,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,4,8,5,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,4,5,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,7,5,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,1,7,8,3,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,2,3,6,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,7,3,6,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,6,2,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,4,6,1,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,4,6,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,4,1,6,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,3,5,1,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,8,3,6,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,1,7,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,1,3,6,2,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,3,1,7,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,4,7,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,7,3,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,8,3,1,7,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,8,2,7,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,1,8,2,4,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,1,2,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,1,6,2,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,4,1,2,6,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,1,8,4,2,7,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,8,5,3,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,5,3,1,7,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,5,1,2,6,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,7,1,2,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,3,7,2,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,2,7,8,5,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,7,8,3,1,6,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,2,5,8,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,4,6,2,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,2,4,6,7,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,6,8,2,7,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,6,8,1,7,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,3,5,6,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,2,3,7,8,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,7,3,4,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,7,3,4,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,4,7,1,5,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,4,7,2,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,7,2,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,8,7,1,6,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,8,7,6,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,8,7,6,1,2,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,3,7,5,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,4,6,5,1,2,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,4,7,5,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,7,6,1,2,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,5,8,7,6,1,2,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,5,8,7,6,1,2,3]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,5,8,7,1,6,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,8,7,2,6,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,8,2,7,6,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,8,1,7,6,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,8,1,7,6,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,8,7,1,6,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,8,7,1,6,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,4,7,1,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,6,1,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,6,2,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,7,2,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,7,2,6,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,7,2,6,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,2,7,6,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,8,3,7,6,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,2,8,7,6,5,3]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,8,2,7,6,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,3,2,7,5,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,3,2,6,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,3,1,6,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,1,7,5,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,8,1,7,6,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,1,8,7,6,5,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,3,1,8,7,6,5,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,2,1,8,7,6,5,3]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,8,2,1,7,5,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,2,1,6,5,4,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,2,6,1,5,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,7,1,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,7,1,6,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,1,7,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,8,1,7,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,8,2,7,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,3,2,7,5,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,3,1,7,5,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,2,1,7,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,2,7,1,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,7,2,1,4,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,6,1,2,4,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,1,2,4,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,1,2,7,5,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,2,3,7,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,2,8,3,7,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,8,3,7,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,8,7,2,6,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,7,2,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,7,2,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,6,2,5,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,2,6,5,4,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,1,2,7,5,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,2,7,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,2,8,7,6,5,4]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,1,3,8,7,6,5,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,1,4,8,7,6,5,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,1,8,3,7,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,1,3,7,5,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,1,3,6,5,4,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,2,3,6,5,4,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,2,3,7,5,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,8,3,7,6,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,3,6,8,2,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,6,2,5,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,8,2,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,5,2,8,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,6,5,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,2,6,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,5,8,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,4,2,5,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,2,6,4,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,6,5,4,8,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,5,4,7,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,2,6,3,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,5,4,2,8,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,7,5,2,8,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,3,5,2,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,1,8,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,2,8,7,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,2,8,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,8,3,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,3,8,7,6,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,8,6,5,3,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,2,8,6,3,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,2,8,7,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,1,8,7,3,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,2,1,8,3,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,1,6,2,8,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,6,4,2,8,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,2,6,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,2,7,5,3,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,7,6,5,3,8,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,6,5,3,8,7,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,2,6,3,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,2,7,6,3,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,2,7,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,4,2,8,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,2,8,6,3,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,6,2,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,7,1,8,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,6,2,4,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,8,3,2,4,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,3,2,4,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,2,8,7,3,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,2,8,3,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,4,2,7,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,8,5,2,7,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,3,1,7,2,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,2,1,7,3,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,8,6,4,2,7,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,5,2,6,3,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,7,3,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,5,3,7,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,6,3,8,7,5,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,7,6,3,8,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,2,7,3,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,2,8,5,3,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,2,8,6,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,8,3,2,6,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,1,8,6,3,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,7,3,2,6,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,2,8,7,6,3,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,8,7,5,3,6,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,8,6,3,7,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,7,3,8,6,5,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,7,3,6,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,7,6,2,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,7,6,3,4,5,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,6,2,4,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,1,6,2,4,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,1,5,2,7,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,5,3,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,4,5,3,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,4,5,3,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,7,8,6,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,8,3,5,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,8,6,3,4,5,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,4,5,3,8,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,4,5,3,6,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,4,5,3,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,1,5,2,6,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,7,2,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,5,8,2,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,5,7,2,1,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,5,7,3,6,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,8,3,7,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,7,6,2,4,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,8,6,3,1,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,4,1,8,2,3,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,1,6,2,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,5,2,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,8,2,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,4,1,8,6,5,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,5,6,2,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,5,1,4,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,6,1,5,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,6,7,1,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,7,2,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,8,5,6,1,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,5,6,3,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,5,6,3,1,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,6,2,8,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,8,2,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,6,2,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,6,5,1,3,4,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,6,8,1,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,6,5,8,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,5,6,1,4,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,4,1,8,5,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,3,8,5,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,3,6,5,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,8,4,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,6,1,8,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,6,1,4,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,5,1,2,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,5,2,3,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,6,3,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,1,8,3,2,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,8,6,4,1,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,6,7,4,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,5,7,2,4,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,1,8,7,5,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,6,1,7,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,8,1,6,4,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,1,4,5,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,6,1,4,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,3,4,5,6,7,9,8]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [2,1,3,4,5,6,7,8,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,2,3,4,5,6,7,8,10,9]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [2,1,3,4,5,6,7,8,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [9,1,2,3,4,5,6,7,10,8]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,8,2,3,4,5,6,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,1,2,3,4,5,6,9,8]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,1,9,3,4,5,6,7,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,8,1,3,4,5,6,7,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,10,1,3,4,5,6,7,8,9]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,1,3,4,5,6,7,8,9,10,11]=>1000000000=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [8,4,3,6,5,1,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,6,3,4,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,5,4,3,1,7,2]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [1,7,6,5,4,2,3,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,6,5,2,7,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,5,4,1,6,3,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,5,4,1,3,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,5,4,2,1,7,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,6,2,4,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,6,5,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,6,5,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,1,7,6,4,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,3,7,6,2,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,7,3,6,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,5,3,2,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,6,5,2,4,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,5,2,3,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,7,6,3,4,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,8,3,7,4,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,7,2,6,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,6,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,2,4,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,8,3,2,7,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,8,2,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,8,4,7,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,8,7,1,6,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,7,1,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,2,1,6,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,7,1,3,5,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,6,1,5,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,6,1,5,4,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,8,7,2,6,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,8,2,5,6,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,7,1,4,5,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,8,1,4,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,3,2,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,8,3,1,4,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,7,3,1,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,4,2,7,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,4,8,2,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,3,7,1,6,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,3,8,1,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,1,5,2,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,3,1,2,6,5,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,3,1,2,5,7,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,4,2,3,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,5,1,4,2,3,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,1,4,2,6,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,4,3,2,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,1,3,4,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,2,1,5,3,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,6,1,5,4,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,1,4,6,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,1,3,6,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,1,3,2,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,2,4,5,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,1,2,5,4,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,1,2,5,3,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,2,3,6,4,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,1,2,3,6,5,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,8,1,2,3,5,6,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,8,1,2,4,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,3,2,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,1,3,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,8,1,4,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,3,2,5,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,1,2,4,3,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,2,3,5,4,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,2,3,4,6,5,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,2,3,4,5,7,6]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,7,3,8,5,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,4,5,1,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,6,8,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,8,6,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,4,5,7,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,8,6,7,1,2,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,6,7,1,8,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,6,2,7,4,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,6,1,7,8,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,6,1,8,7,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,6,8,1,7,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,4,5,1,6,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,6,2,3,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,6,8,2,3,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,6,2,8,4,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,6,3,4,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,2,6,8,5,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,2,5,4,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,3,1,5,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,3,1,5,7,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,6,8,7,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,1,6,7,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,1,7,6,8,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,7,8,1,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,2,6,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,1,5,8,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,2,1,8,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,2,8,1,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,8,2,1,4,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,1,2,8,4,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,3,4,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,7,3,4,6,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,7,3,4,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,7,8,2,3,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,8,7,2,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,2,7,4,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,3,7,5,8,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,4,5,7,8,6,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,8,3,4,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,3,4,6,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,2,3,4,5,7,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,8,3,4,6,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,2,1,6,5,8,7,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,6,1,4,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,6,4,1,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,7,4,8,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,7,4,8,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,2,3,8,6,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,2,3,8,1,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,2,3,1,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,1,3,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,6,4,2,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,1,3,2,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,3,1,2,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,3,2,1,8,7,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,7,3,2,8,1,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,2,8,6,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,3,8,2,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,8,1,2,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,1,8,2,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,3,8,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,4,8,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,7,4,8,3,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,4,8,6,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,1,7,4,8,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,3,8,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,1,8,6,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,3,8,1,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,8,5,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,8,3,1,4,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,1,8,3,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,7,8,4,5,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,8,4,5,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,7,8,4,3,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,7,8,4,2,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,1,8,3,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,2,1,8,3,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,8,1,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,8,3,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,8,3,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,8,4,5,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,8,4,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,7,8,1,4,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,7,1,8,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,1,7,8,5,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,2,7,8,6,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,2,7,8,1,5,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,7,8,5,1,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,7,8,5,4,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,2,8,5,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,1,8,6,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,1,2,8,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,7,2,8,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,7,3,8,6,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,7,8,3,5,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,1,7,8,2,5,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,1,8,2,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,8,2,4,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,8,2,4,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,1,8,5,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,7,8,5,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,7,8,5,3,4,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,7,8,5,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,1,8,5,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,8,4,1,3,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,8,5,2,7,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,2,8,4,7,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,4,5,8,7,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,8,4,7,5,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,1,4,7,2,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,1,4,8,7,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,4,8,5,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,8,6,3,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,7,1,8,6,5,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,8,4,2,7,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,8,7,1,4,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,1,6,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,8,5,6,7,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,1,7,6,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,2,7,8,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,4,2,8,7,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,7,5,2,8,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,2,7,4,8,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,4,8,3,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,3,5,1,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,1,4,6,7,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,8,4,3,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,4,2,8,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,1,6,2,4,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,6,7,1,4,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,7,4,1,2,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,8,7,1,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,6,1,2,5,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,1,8,7,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,2,7,3,6,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,6,4,2,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,1,5,3,8,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,6,3,4,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,6,3,5,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,4,3,5,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,6,4,5,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,6,5,3,4,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,4,3,1,8,2,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,4,2,7,3,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,4,1,7,2,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,1,8,3,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,5,2,8,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,5,3,4,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,3,1,8,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,4,2,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,6,4,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,5,3,2,6,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,3,1,7,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,3,7,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,5,2,6,4,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,1,6,2,5,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,1,7,3,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,3,7,2,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,5,7,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,6,8,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,3,1,8,4,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,8,4,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,8,5,3,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,1,8,4,3,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,1,7,4,2,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,7,3,4,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,2,8,3,5,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,6,1,7,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,1,4,7,5,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,5,8,3,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,3,1,6,8,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,5,6,8,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,4,8,2,7,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,1,8,7,4,2,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,4,7,5,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,8,3,7,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,1,7,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,2,4,7,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,3,8,2,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,8,6,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,8,7,4,5,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,6,4,3,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,8,7,5,6,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,7,6,3,5,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,7,6,5,2,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,8,6,5,3,2,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,8,7,6,3,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,3,8,7,4,6,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,6,8,7,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,4,7,5,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,8,7,2,5,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,8,7,6,4,5,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,7,6,5,3,4,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,7,6,5,4,2,3]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,8,6,7,3,4,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,7,3,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,7,4,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,7,4,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,7,4,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,7,4,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,7,4,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,5,7,3,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,6,4,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,7,4,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,7,4,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,8,5,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,8,5,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,2,8,5,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,8,5,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,8,5,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,8,5,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,3,8,5,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,4,8,5,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,7,4,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,7,4,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,6,4,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,6,4,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,1,7,4,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,7,4,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,4,8,5,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,8,5,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,5,6,1,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,6,2,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,8,4,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,7,3,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,7,3,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,1,7,3,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,6,3,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,7,3,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,7,3,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,7,3,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,3,8,4,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,8,4,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,8,4,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,7,3,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,7,3,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,2,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,5,7,2,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,7,2,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,5,7,3,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,7,3,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,7,3,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,7,3,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,7,2,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,7,2,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,6,7,2,4,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,7,1,4,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,6,7,1,4,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,7,1,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,7,1,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,8,6,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,8,6,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,8,5,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,8,5,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,7,1,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,7,1,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,6,1,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,6,1,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,7,1,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,7,1,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,1,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,8,4,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,8,4,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,6,1,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,6,2,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,6,2,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,6,2,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,5,2,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,5,1,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,5,1,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,6,1,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,6,1,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,6,2,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,3,6,1,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,3,4,5,6,7,8,9]=>00000000=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) [1,2,3,4,5,6,8,9,7]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,2,3,4,5,7,8,9,6]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,2,3,4,6,7,8,9,5]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,2,3,5,6,7,8,9,4]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,2,4,5,6,7,8,9,3]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,3,4,5,6,7,8,9,2]=>00000001=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,2,3,4,5,6,7,8,9,10]=>000000000=>([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) [1,2,3,4,5,6,9,8,7]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,4,5,6,7,9,10,8]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,2,3,4,5,8,7,9,6]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,3,4,5,6,8,9,10,7]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,2,3,4,7,6,8,9,5]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,3,4,5,7,8,9,10,6]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,2,3,6,5,7,8,9,4]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,2,3,4,6,7,8,9,10,5]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,2,5,4,6,7,8,9,3]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,2,3,5,6,7,8,9,10,4]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,4,3,5,6,7,8,9,2]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,2,4,5,6,7,8,9,10,3]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [3,2,4,5,6,7,8,9,1]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,3,4,5,6,7,8,9,10,2]=>000000001=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [6,7,4,8,3,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,5,2,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,6,2,3,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,6,3,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,8,3,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,5,3,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,6,3,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,8,3,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,7,2,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,7,2,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,8,2,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,8,2,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,6,2,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,5,2,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,5,2,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,5,2,3,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,6,2,3,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,8,2,3,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,8,2,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,4,2,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,5,2,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,5,2,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,8,2,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,6,2,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,6,2,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,5,2,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,5,2,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,5,2,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,6,2,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,6,2,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,8,2,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,7,2,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,6,2,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,6,2,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,8,2,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,8,2,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,6,2,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,6,2,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,5,2,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,5,2,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,8,2,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,5,8,2,4,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,7,2,3,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,8,2,3,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,8,2,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,4,2,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,4,2,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,4,2,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,8,2,3,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,7,2,3,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,7,2,3,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,6,2,3,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,6,2,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,7,2,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,7,2,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,7,2,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,8,2,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,5,2,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,5,2,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,7,2,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,7,2,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,8,2,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,5,2,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,4,2,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,4,2,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,4,2,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,4,2,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,4,2,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,5,2,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,8,2,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,6,2,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,2,1,8,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,5,2,1,7,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,5,2,1,3,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,4,2,3,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,3,1,2,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,1,3,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,8,1,7,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,8,1,6,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,1,6,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,8,1,3,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,3,1,7,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,7,1,3,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,1,7,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,8,7,2,1,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,5,7,6,4,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,6,3,7,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,8,7,4,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,6,8,7,4,3,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,7,8,6,4,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,2,8,6,4,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,8,5,2,4,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,8,6,2,3,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,7,6,3,2,1,4]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,8,7,5,3,2,4,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,4,2,3,7,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,4,2,6,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,2,6,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,2,7,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,1,8,7,4,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,1,8,6,4,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,1,6,7,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,1,6,8,2,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,6,2,8,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,4,2,8,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,2,7,5,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,8,6,7,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,6,7,5,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,4,3,7,5,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,8,6,7,3,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,5,8,1,3,4,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,8,1,4,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,5,7,4,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,3,8,1,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,2,6,8,1,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,6,8,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,8,1,4,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,8,1,2,4,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,3,7,4,6,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,7,4,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,5,4,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,5,4,8,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,3,5,4,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,5,4,3,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,8,3,4,5,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,5,3,4,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,4,3,5,6,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,3,4,5,6,7,2]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,7,2,4,5,6,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,2,7,5,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,2,5,6,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,2,4,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,2,1,4,3,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,2,8,4,1,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,2,1,4,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,8,5,2,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,6,3,5,4,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,1,2,8,6,5,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,1,2,6,8,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,1,6,3,2,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,8,5,2,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,1,5,2,4,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,2,6,1,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,7,2,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,6,4,2,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,5,8,3,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,5,6,3,2,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,2,3,8,5,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,2,3,6,5,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,1,3,8,6,4,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,7,3,2,4,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,2,7,3,1,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,4,1,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,6,3,4,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,1,6,3,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,6,4,2,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,6,7,4,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,8,7,2,4,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,3,7,8,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,1,3,8,7,5,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,8,3,1,7,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,1,3,7,2,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,8,1,3,6,4,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,3,4,1,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,8,3,2,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [9,8,7,6,5,4,3,2,1]=>11111111=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) [8,9,7,6,5,4,3,2,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,7,9,6,5,4,3,2,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,7,6,9,5,4,3,2,1]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,7,6,5,9,4,3,2,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [8,7,6,5,4,9,3,2,1]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [8,7,6,5,4,3,9,2,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,7,6,5,4,3,2,9,1]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,7,6,5,4,3,2,1,9]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [9,10,8,7,6,5,4,3,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [7,8,9,6,5,4,3,2,1]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [9,8,10,7,6,5,4,3,2,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [8,6,7,9,5,4,3,2,1]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [9,8,7,10,6,5,4,3,2,1]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,7,5,6,9,4,3,2,1]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [9,8,7,6,10,5,4,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,7,6,4,5,9,3,2,1]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [9,8,7,6,5,10,4,3,2,1]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,7,6,5,3,4,9,2,1]=>11110011=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [9,8,7,6,5,4,10,3,2,1]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,7,6,5,4,2,3,9,1]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [9,8,7,6,5,4,3,10,2,1]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,7,6,5,4,3,1,2,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [9,8,7,6,5,4,3,2,10,1]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,8,7,6,5,4,3,2,1,10]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,4,2,7,8,6,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,2,4,8,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,2,4,7,5,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,8,5,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,3,2,8,6,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,5,7,8,6,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,3,1,8,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,5,1,7,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,1,8,3,4,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,8,3,5,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,4,8,5,7,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,6,4,8,5,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,4,7,5,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,7,5,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,3,7,8,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,2,1,4,3,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,4,2,3,1,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,2,3,1,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,2,6,8,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,5,3,4,6,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,5,4,6,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,6,3,1,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,6,4,3,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,7,4,1,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,8,4,3,5,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,4,2,3,5,6,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,8,4,1,3,2,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,7,4,3,2,5,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,6,3,8,2,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,1,2,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,8,3,2,6,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,1,2,6,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,5,4,2,6,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,8,2,4,6,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,8,4,2,7,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,6,2,8,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,1,6,7,2,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,6,1,2,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,2,7,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,5,3,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,4,1,2,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,1,4,2,7,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,2,4,5,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,3,2,4,1,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,3,2,6,7,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,2,6,8,1,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,6,7,8,1,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,3,6,7,1,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,3,4,1,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,3,1,4,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,1,4,3,2,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,1,6,5,2,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,5,1,8,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,5,2,8,7,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,4,6,5,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,2,5,4,6,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,6,5,1,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,1,6,2,5,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,2,6,4,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,5,6,4,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,2,6,5,4,3,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,5,4,2,8,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,8,2,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,6,8,2,7,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,7,6,2,8,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,4,7,2,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,4,5,2,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,1,2,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,2,8,1,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,8,7,1,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,5,8,2,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,6,2,8,7,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,2,8,6,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,2,6,4,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,7,6,3,4,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,2,7,4,6,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,7,2,6,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,3,6,8,5,7,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,1,4,2,7,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,2,7,6,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,6,8,7,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,2,8,4,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,2,7,6,4,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,1,8,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,3,2,5,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,7,2,1,3,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,8,7,3,4,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,7,8,2,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,7,8,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,1,3,4,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,8,6,3,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,2,6,8,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,3,7,8,5,6,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,7,5,8,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,2,7,3,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,2,8,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,7,8,3,4,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,3,8,7,5,6,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [10,1,2,3,4,5,6,7,8,9]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [10,1,2,3,4,5,6,9,7,8]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [10,1,2,3,4,5,9,6,7,8]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [9,1,2,3,4,10,5,6,7,8]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [10,1,2,3,9,4,5,6,7,8]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [10,1,2,9,3,4,5,6,7,8]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [9,1,10,2,3,4,5,6,7,8]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,1,2,3,4,5,6,7,8]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [11,1,2,3,4,5,6,7,8,9,10]=>1000000000=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [10,1,2,3,4,5,6,7,8,11,9]=>1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27) [8,1,2,3,4,5,6,9,10,7]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [11,1,2,3,4,5,6,7,10,8,9]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [7,1,2,3,4,5,10,9,6,8]=>100000110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [11,1,2,3,4,5,6,10,7,8,9]=>1000000100=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35) [6,1,2,3,4,10,9,5,7,8]=>100001100=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33) [5,1,2,3,9,10,4,6,7,8]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [4,1,2,10,9,3,5,6,7,8]=>100110000=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33) [3,1,10,9,2,4,5,6,7,8]=>101100000=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [2,9,10,1,3,4,5,6,7,8]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,7,8,5,6,2,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,8,4,2,6,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,8,4,2,5,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,3,7,2,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,3,8,2,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,3,2,1,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,8,3,2,1,6,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,8,4,3,5,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,8,4,2,5,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,8,3,2,1,5,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,8,3,2,1,4,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,6,3,8,2,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,3,7,2,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,3,8,2,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,4,8,2,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,8,3,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,7,3,5,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,4,7,2,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,7,2,1,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,3,7,2,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,3,2,1,6,5,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,4,3,2,1,7,5,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,5,3,2,7,1,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,2,8,6,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,3,2,1,8,5,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,4,3,2,1,8,5,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,3,2,1,7,5,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,3,2,1,7,6,5]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,4,3,2,1,8,6,5]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,4,3,2,1,8,7,5]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,6,3,8,2,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,3,2,8,1,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,4,2,7,6,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,4,2,8,6,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,4,2,8,7,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,5,8,7,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,5,7,8,3,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,4,2,7,8,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,4,2,6,7,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,3,2,6,1,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,2,6,1,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,3,7,2,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,7,2,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,7,2,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,7,3,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,2,7,8,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,3,2,7,1,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,3,2,1,6,8,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,4,3,2,1,6,7,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,4,3,2,1,5,7,6]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,4,3,2,1,5,8,6]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,4,3,2,1,5,8,7]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,5,4,2,6,8,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,3,4,1,2,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,3,7,2,6,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,7,4,2,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,4,2,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,8,5,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,7,5,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,8,1,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,4,8,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,4,1,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,8,3,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,5,4,2,8,6,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,5,8,3,2,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,8,5,2,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,3,5,2,1,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,2,7,5,1,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,2,5,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,2,5,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,1,7,3,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,1,4,3,7,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,1,5,7,2,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,1,5,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,1,5,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,6,4,1,2,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,6,1,7,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,1,3,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,4,1,2,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,3,1,7,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,2,7,1,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,2,7,3,1,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,2,1,7,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,6,1,4,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,7,4,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,4,8,5,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,1,4,6,8,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,6,1,5,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,1,5,7,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,2,1,5,3,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,6,1,5,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,7,5,3,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,1,5,6,2,3,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,5,2,6,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,1,2,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,6,4,1,3,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,5,1,2,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,2,1,4,7,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,3,1,4,7,2,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,1,8,5,4,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,5,8,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,5,3,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,1,2,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,5,1,8,2,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,5,3,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,5,3,1,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,5,8,2,1,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,2,8,1,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,2,1,7,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,6,2,1,7,5,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,6,2,7,1,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,6,2,7,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,6,2,7,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,6,2,8,7,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,6,8,2,7,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,8,6,3,7,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,4,6,3,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,6,3,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,8,2,7,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,6,2,8,7,5,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,6,2,7,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,6,2,7,4,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,6,7,2,8,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,6,8,7,2,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,8,6,7,3,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,6,7,3,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,6,7,3,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,8,6,7,3,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,8,7,2,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,5,6,7,2,1,8,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,6,1,8,7,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,1,6,8,7,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,1,8,6,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,2,6,7,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,1,6,7,8,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,1,6,7,4,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,6,7,4,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,1,7,4,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,1,7,4,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,1,8,7,5,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,6,8,1,7,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,6,1,7,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,4,6,2,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,6,7,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,6,7,1,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,6,8,7,1,4,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,6,7,8,1,3,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,5,6,7,1,3,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,6,7,1,3,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,6,7,3,1,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,6,8,7,4,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,8,6,7,4,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,5,6,7,4,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,5,6,7,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,8,6,7,4,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,5,3,7,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,3,7,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,4,3,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,5,6,1,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,6,1,7,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,7,3,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,5,8,3,2,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,2,4,7,1,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,2,4,7,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,5,6,7,1,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,1,5,6,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,7,1,5,8,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,2,4,6,1,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,2,4,6,1,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,5,1,7,4,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,5,1,8,4,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,5,1,7,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,2,4,6,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,5,7,8,3,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,5,6,1,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,6,1,8,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,6,1,7,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,8,7,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,3,2,4,6,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,5,1,8,7,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,1,6,4,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,1,8,7,5,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,1,6,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,6,5,1,7,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,7,6,5,1,8,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,1,7,8,4,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,1,6,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,4,1,8,5,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,1,7,5,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,1,6,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,4,1,8,5,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,2,4,7,6,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,1,8,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,1,6,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,1,7,4,2,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,1,8,4,2,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,2,3,7,5,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,6,1,8,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,1,8,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,6,1,7,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,1,8,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,2,3,8,5,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,1,6,4,2,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,6,4,2,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,5,1,7,6,4,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,1,8,6,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,2,4,8,6,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,1,5,7,3,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,6,1,8,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,1,7,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,5,1,7,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,1,6,7,4,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,1,8,6,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,1,8,6,5,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,1,5,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,5,1,7,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,5,1,6,4,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,5,1,7,6,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,5,1,8,6,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,5,1,6,4,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,5,1,8,7,6,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,7,3,1,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,3,7,1,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,7,5,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,7,5,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,4,1,6,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,7,4,1,6,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,7,3,6,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,8,3,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,7,5,1,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,8,5,1,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,4,3,6,1,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,3,6,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,3,6,7,1,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,4,6,1,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,8,1,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,4,6,8,1,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,4,1,6,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,1,8,5,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,7,5,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,7,5,3,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,1,8,5,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,8,2,1,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,4,1,6,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,5,6,1,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,2,6,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,2,8,1,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,1,6,8,5,4,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,7,1,5,4,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,1,5,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,2,5,1,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,2,6,7,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,2,6,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,2,6,7,8,1,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,2,6,7,1,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,7,2,6,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,8,2,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,4,8,1,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,5,7,8,1,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,5,7,1,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,5,7,1,6,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,7,1,5,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,7,1,5,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,7,8,1,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,6,1,7,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,2,1,7,8,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,1,7,5,3,8,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,1,8,5,3,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,2,7,1,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,1,4,7,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,2,1,4,7,5,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,2,1,7,4,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,2,1,7,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,2,1,7,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,2,1,8,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,7,3,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,1,4,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,8,2,1,7,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,3,7,2,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,7,2,8,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,7,2,1,5,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,3,2,7,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,2,8,1,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,2,8,1,4,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,4,7,5,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,1,8,4,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,8,3,2,1,5,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,3,8,2,1,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,9,8,7,6,5,4,3,2]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,7,6,4,5,3,2,1,9]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,9,8,7,5,6,4,3,2]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,10,9,8,7,6,5,4,3,2]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [10,9,8,7,6,5,4,3,2,1,11]=>1111111110=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [9,8,7,5,6,4,3,2,1,10]=>111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [8,7,5,4,6,3,2,1,9]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,7,4,6,5,3,2,1,9]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,9,8,6,5,7,4,3,2]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,9,8,5,7,6,4,3,2]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,10,9,8,6,7,5,4,3,2]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [6,2,3,1,5,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,2,3,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,2,5,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,5,3,4,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,3,4,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,2,4,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,5,1,3,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,3,4,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,5,1,4,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,2,4,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,5,6,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,2,4,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,1,4,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,3,4,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,1,3,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,4,5,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,4,5,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,1,5,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,3,5,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,5,6,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,3,6,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,4,6,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,4,6,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,1,6,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,3,6,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,5,6,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,5,6,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,4,7,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,3,4,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,3,6,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,1,6,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,2,6,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,3,6,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,3,6,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,1,6,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,2,4,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,2,7,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,3,7,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,2,4,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,1,4,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,3,4,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,5,6,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,5,6,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,2,3,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,3,1,7,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,3,1,5,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,1,8,5,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,3,2,8,6,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,2,3,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,3,1,7,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,2,6,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,2,6,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,5,6,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,2,5,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,1,5,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,1,3,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,6,7,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,3,7,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,2,7,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,5,6,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,2,6,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,1,6,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,4,6,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,4,6,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,2,6,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,2,6,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,1,6,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,4,6,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,1,6,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,5,7,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,4,6,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,1,6,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,4,6,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,1,6,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,3,6,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,8,3,6,1,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,8,1,3,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,8,6,3,2,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,8,7,3,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,8,7,3,6,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,2,8,4,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,2,8,4,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,8,4,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,8,4,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,6,1,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,1,8,4,5,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,8,4,5,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,6,8,4,5,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,7,8,4,1,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,7,8,4,6,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,7,8,2,4,6,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,7,8,2,4,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,7,8,4,2,5,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,8,4,2,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,8,7,3,2,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,8,3,7,1,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,7,3,6,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,1,8,4,6,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,7,8,4,6,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,7,8,1,4,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,7,8,5,4,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,1,3,8,5,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,5,8,3,4,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,8,5,4,3,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,3,5,4,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,4,5,3,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,8,5,2,3,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,8,2,4,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,1,2,8,5,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,2,1,8,5,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,6,8,4,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,8,3,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,5,8,1,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,8,3,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,5,4,3,2,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,8,5,1,3,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,1,4,3,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,8,6,3,4,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,8,3,6,5,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,4,1,5,6,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,3,5,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,8,4,1,3,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,1,5,3,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,8,4,5,3,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,8,5,4,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,1,8,5,4,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,3,8,4,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,8,4,6,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,8,4,3,6,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,7,4,1,6,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,5,4,3,1,6,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,8,4,2,3,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,2,8,5,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,2,8,5,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,2,8,5,4,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,2,5,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,3,5,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,3,4,5,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,8,4,5,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,8,5,4,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,3,1,8,5,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,4,8,5,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,3,2,4,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,5,3,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,8,4,5,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,8,5,3,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,4,2,5,3,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,5,3,2,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,1,5,2,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,1,4,8,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,2,8,4,3,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,5,4,3,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,2,5,4,3,8,6,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,4,8,5,3,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,7,4,8,5,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,2,7,8,4,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,2,7,4,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,1,4,7,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,5,4,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,8,5,7,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,4,8,7,5,3,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,8,1,4,3,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,2,8,7,4,3,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,1,2,8,7,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,4,8,1,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,1,4,2,8,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,2,8,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,2,8,4,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,1,4,2,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,1,4,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,1,5,2,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,2,8,5,3,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,2,8,4,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,7,8,5,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,2,8,4,3,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,1,2,8,3,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,1,3,2,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,1,3,2,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,7,3,5,8,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,7,5,8,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,1,3,7,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,8,7,3,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,5,8,3,7,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,1,7,3,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,1,3,2,4,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,1,7,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,7,4,3,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,2,8,4,3,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,8,4,7,5,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,7,4,5,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,1,7,5,3,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,7,1,5,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,1,4,7,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,1,4,2,7,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,6,2,7,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,8,6,4,3,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,1,2,8,6,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,4,8,1,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,8,7,1,6,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,1,7,6,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,1,7,6,4,3,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,3,4,1,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,4,1,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,4,1,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,4,1,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,4,1,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,4,1,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,4,1,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,4,1,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,4,1,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,4,1,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,8,3,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,7,3,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,8,3,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,5,1,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,5,1,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,5,1,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,5,1,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,3,1,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,4,1,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,4,1,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,5,1,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,5,1,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,8,3,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,7,3,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,7,3,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,7,3,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,7,4,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,8,4,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,8,4,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,8,3,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,8,3,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,7,3,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,8,3,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [9,2,1,3,4,5,6,7,8]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [10,2,1,3,4,5,6,7,8,9]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [9,2,3,1,4,5,6,7,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,2,3,5,6,7,8,9,1]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [3,4,2,5,6,7,8,9,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,2,4,5,6,7,8,9,10,1]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [6,5,3,2,1,4,8,7]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,6,3,5,2,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,5,2,4,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,2,4,5,7,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,2,4,5,3,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,1,4,5,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,7,4,5,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,4,5,7,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,7,4,3,6,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,7,4,3,6,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,7,4,3,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,5,1,4,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,8,5,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,5,1,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,4,7,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,8,4,7,6,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,8,1,5,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,1,3,5,6,7,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,4,1,6,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,3,6,1,4,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,6,1,2,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,4,1,6,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,1,2,5,6,7,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,7,1,4,2,6,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,1,2,4,7,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,1,7,4,5,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,4,5,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,2,4,1,6,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,3,6,2,4,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,3,2,1,4,7,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,3,5,2,1,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,3,6,2,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,4,2,6,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,8,4,5,7,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,8,4,5,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,5,1,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,8,3,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,3,6,1,2,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,2,5,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,8,1,5,6,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,2,1,5,6,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,8,2,5,6,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,1,4,7,6,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,3,1,6,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,8,6,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,8,5,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,6,8,10,1,3,5,7,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,4,6,9,10,1,3,5,7,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,4,7,8,10,1,3,5,6,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,4,7,9,10,1,3,5,6,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,4,8,9,10,1,3,5,6,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,5,6,8,10,1,3,4,7,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,5,6,9,10,1,3,4,7,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,5,7,8,10,1,3,4,6,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,5,7,9,10,1,3,4,6,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,5,8,9,10,1,3,4,6,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,6,7,8,10,1,3,4,5,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,6,7,9,10,1,3,4,5,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,6,8,9,10,1,3,4,5,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,7,8,9,10,1,3,4,5,6]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,4,6,8,10,1,2,5,7,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,4,6,9,10,1,2,5,7,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,4,7,8,10,1,2,5,6,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,4,7,9,10,1,2,5,6,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,4,8,9,10,1,2,5,6,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,5,6,8,10,1,2,4,7,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,5,6,9,10,1,2,4,7,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,5,7,8,10,1,2,4,6,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,5,7,9,10,1,2,4,6,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,5,8,9,10,1,2,4,6,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,6,7,8,10,1,2,4,5,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,6,7,9,10,1,2,4,5,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,6,8,9,10,1,2,4,5,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [3,7,8,9,10,1,2,4,5,6]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,5,6,8,10,1,2,3,7,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,5,6,9,10,1,2,3,7,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,5,7,8,10,1,2,3,6,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,5,7,9,10,1,2,3,6,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,5,8,9,10,1,2,3,6,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,6,7,8,10,1,2,3,5,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,6,7,9,10,1,2,3,5,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,6,8,9,10,1,2,3,5,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,7,8,9,10,1,2,3,5,6]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,6,7,8,10,1,2,3,4,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,6,7,9,10,1,2,3,4,8]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,6,8,9,10,1,2,3,4,7]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,7,8,9,10,1,2,3,4,6]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [4,5,7,6,2,3,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,7,2,6,4,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,7,3,6,4,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,3,6,8,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,3,7,6,1,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,2,3,5,4,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,3,6,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,7,6,1,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,4,7,1,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,4,7,6,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,3,7,6,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,7,3,6,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,1,3,5,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,7,3,6,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,7,6,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,7,6,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,7,1,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,7,2,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,3,2,7,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,3,1,7,6,5,4]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,8,2,1,7,6,5,4]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,1,2,8,5,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,2,3,1,7,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,2,1,7,6,5,4]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,4,1,7,6,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,7,8,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,2,7,1,6,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,7,2,1,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,7,2,8,6,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,7,1,8,6,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,7,1,6,8,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,4,5,8,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,7,6,8,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,8,1,6,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,7,8,2,6,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,7,1,2,6,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,1,7,2,6,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,8,7,2,6,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,8,7,6,1,5,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,8,7,6,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,7,8,6,1,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,2,8,1,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,7,8,1,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,7,1,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,8,1,7,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,8,2,7,6,5,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,1,2,7,6,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,1,3,7,6,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,8,3,7,6,5,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,1,8,3,7,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,8,7,2,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,7,8,2,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,1,8,2,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,1,2,6,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,1,7,2,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,2,7,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,1,3,7,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,8,2,3,7,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,2,3,7,6,5,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,4,5,6,7,8,9,10,2]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [10,3,4,5,6,7,8,1,2,9]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [10,1,4,5,6,7,8,9,2,3]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [3,1,4,5,6,7,8,9,10,11,2]=>1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27) [11,3,4,5,6,7,8,9,1,2,10]=>1000000100=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35) [2,10,4,5,6,7,8,1,3,9]=>010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [8,3,4,5,6,7,1,10,2,9]=>100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [3,1,10,5,6,7,8,9,2,4]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [9,1,4,5,6,7,8,2,10,3]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [11,1,4,5,6,7,8,9,10,2,3]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [6,7,1,8,4,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,5,8,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,5,8,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,5,1,8,3,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,5,1,8,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,5,1,8,7,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,4,1,8,7,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,4,5,7,6,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,5,1,8,7,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,1,8,7,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,1,8,7,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,1,8,2,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,6,1,8,3,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,1,3,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,6,1,2,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,1,2,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,6,1,8,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,1,5,8,2,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,3,5,7,2,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,5,7,3,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,1,5,8,3,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,5,1,8,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,1,3,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,6,1,4,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,5,3,1,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,4,1,3,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,1,4,3,8,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,2,4,3,7,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,3,4,2,7,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,4,2,8,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,4,1,2,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,3,1,2,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,4,1,2,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,4,1,3,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,4,3,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,4,2,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,3,2,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,6,7,2,3,5,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,1,2,3,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,1,2,4,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,1,3,4,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,3,1,4,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,2,1,4,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,2,1,8,3,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,2,1,8,3,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,5,2,7,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,2,3,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,1,2,3,8,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,4,2,1,3,8,7,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,2,3,1,8,7,6]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,2,4,1,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,1,4,8,7,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,3,1,2,4,8,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,1,3,2,4,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,2,3,4,7,6,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,2,1,3,4,8,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,2,3,1,4,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,3,6,1,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,6,5,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,6,3,5,8,7,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,6,3,5,8,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,6,3,5,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,3,1,5,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,1,6,5,3,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,1,5,3,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,5,3,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,6,5,1,3,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,6,5,1,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,6,5,8,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,5,8,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,5,8,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,6,1,5,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,1,6,5,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,6,5,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,6,5,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,1,5,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,6,5,3,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,6,5,8,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,3,8,7,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,4,3,8,7,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,6,8,5,3,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,8,1,5,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,6,1,8,5,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,6,8,5,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,4,6,8,5,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,4,6,8,5,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,1,6,8,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,1,8,5,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,8,1,5,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,6,8,5,3,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,6,8,5,1,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,6,8,5,1,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,8,3,5,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,6,8,3,5,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,8,3,1,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,6,3,1,8,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,6,3,8,1,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,6,3,8,5,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,3,8,5,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,6,8,5,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,6,8,5,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,3,6,8,1,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,3,6,1,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,1,6,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,3,6,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,3,6,1,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,6,8,1,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,5,2,8,7,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,5,2,8,7,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,2,5,8,7,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,5,8,7,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,6,3,8,1,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,3,1,8,7,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,1,6,3,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,6,3,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,6,8,3,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,1,6,8,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,1,8,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,8,1,3,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,6,8,3,1,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,2,8,5,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,8,5,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,4,8,7,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,2,8,7,5,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,6,4,8,1,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,4,1,8,7,5,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,1,4,8,7,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,6,4,8,7,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,6,4,8,7,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,4,8,7,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,1,8,7,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,4,8,1,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,2,8,7,5,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,2,4,8,7,3,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,8,7,3,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,4,7,3,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,7,4,5,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,4,7,3,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,6,3,4,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,6,3,7,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,3,8,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,4,8,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,7,3,4,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,4,5,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,7,3,8,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,1,7,5,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,3,7,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,1,3,7,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,1,7,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,2,1,8,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,1,3,8,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,2,4,8,3,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,6,1,5,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,4,5,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,1,3,4,8,2,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,2,4,8,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,1,3,7,2,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,3,2,8,4,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,2,1,5,8,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,3,4,1,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,2,1,8,6,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,8,7,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,4,8,7,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,3,6,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,2,8,7,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,4,8,7,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,8,3,7,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,8,7,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,2,5,1,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,5,1,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,2,1,5,4,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,2,1,5,4,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,1,5,4,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,2,1,6,4,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,2,5,1,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,2,1,5,6,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,2,1,4,6,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,2,1,4,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,2,1,4,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,7,1,4,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,8,1,4,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,8,1,4,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,2,1,4,7,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,2,1,5,7,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,5,1,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,2,5,1,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,1,5,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,2,1,4,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,1,7,5,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,7,1,6,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,6,1,8,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,6,8,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,6,7,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,6,1,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,1,6,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,1,8,7,5,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,2,1,7,4,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,1,7,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,1,6,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,1,6,4,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,7,6,1,3,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,6,1,3,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,7,1,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,3,4,1,2,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,7,8,1,3,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,6,8,1,3,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,6,7,1,3,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,6,1,8,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,1,8,4,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,2,1,8,5,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,3,8,5,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,7,8,6,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,7,1,8,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,6,8,5,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,6,1,8,7,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,8,1,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,8,7,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,6,7,1,8,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,1,7,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,8,7,5,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,3,6,4,8,7,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,6,2,7,8,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,5,4,2,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,7,5,4,8,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,7,5,4,8,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,5,4,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,5,4,6,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,6,7,8,5,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,6,3,8,7,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,8,5,4,7,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,3,5,4,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,3,5,4,8,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,2,5,4,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,2,5,8,3,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,2,5,7,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,1,5,4,8,7,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,6,2,8,7,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,1,2,4,6,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,3,1,4,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,1,8,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,8,5,4,1,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,1,5,2,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,1,6,4,3,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,1,6,4,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,5,7,4,3,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,8,6,4,3,2,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,6,1,5,8,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,4,1,5,3,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,8,5,1,6,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,1,5,7,3,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,7,4,3,2,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,8,1,7,4,3,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,1,7,4,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,7,6,4,3,2,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,7,8,4,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,8,6,4,3,2,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,7,6,4,3,2,5]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,1,7,5,6,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,7,5,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,6,5,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,2,1,4,5,6,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,1,5,4,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,5,4,6,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,5,6,3,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,2,5,7,3,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,1,5,6,3,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,1,5,7,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,3,7,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,8,5,7,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,3,7,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,4,8,7,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,6,7,3,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,1,3,7,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,1,5,2,3,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,7,5,2,3,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,4,5,8,3,7,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,2,3,5,4,1,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,3,5,4,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,8,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,3,4,1,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,4,6,3,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,4,7,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,7,4,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,5,8,4,3,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,8,7,4,3,2,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,1,8,4,3,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,7,1,4,3,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,8,1,4,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,7,1,4,3,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,7,8,4,3,2,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,7,5,1,3,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,4,6,1,3,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,4,1,3,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,6,4,1,8,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,5,1,3,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,8,4,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,5,1,4,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,5,1,4,3,2,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,4,5,6,9,7,8]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,2,3,4,5,8,6,9,7]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,3,4,7,5,8,9,6]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,3,6,4,7,8,9,5]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,2,5,3,6,7,8,9,4]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,4,2,5,6,7,8,9,3]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,8,1,2,3,4,5,6,7]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [7,8,9,1,2,3,4,5,6]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,8,7,1,2,3,4,5,6]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [6,7,8,9,1,2,3,4,5]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,6,7,8,1,2,3,4,5]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [8,9,6,7,1,2,3,4,5]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,8,6,7,1,2,3,4,5]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,8,7,6,1,2,3,4,5]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [9,5,6,7,8,1,2,3,4]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,9,5,6,7,1,2,3,4]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,8,5,6,7,1,2,3,4]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [9,7,8,5,6,1,2,3,4]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,8,7,5,6,1,2,3,4]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [9,8,7,6,5,1,2,3,4]=>11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [7,8,9,4,5,6,1,2,3]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [9,7,8,4,5,6,1,2,3]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [9,8,7,4,5,6,1,2,3]=>11100100=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [8,9,6,7,4,5,1,2,3]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [9,8,6,7,4,5,1,2,3]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [9,8,7,6,4,5,1,2,3]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,8,7,6,5,4,1,2,3]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [9,7,8,5,6,3,4,1,2]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,8,7,5,6,3,4,1,2]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,8,7,6,5,3,4,1,2]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,8,7,6,5,4,3,1,2]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [9,10,1,2,3,4,5,6,7,8]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [8,9,10,1,2,3,4,5,6,7]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [10,8,9,1,2,3,4,5,6,7]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,8,1,2,3,4,5,6,7]=>111000000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [7,8,9,10,1,2,3,4,5,6]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,7,8,9,1,2,3,4,5,6]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [9,10,7,8,1,2,3,4,5,6]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [10,9,7,8,1,2,3,4,5,6]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [10,9,8,7,1,2,3,4,5,6]=>111100000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [10,6,7,8,9,1,2,3,4,5]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [9,10,6,7,8,1,2,3,4,5]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [10,9,6,7,8,1,2,3,4,5]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [10,8,9,6,7,1,2,3,4,5]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [10,9,8,6,7,1,2,3,4,5]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [10,9,8,7,6,1,2,3,4,5]=>111110000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [9,10,5,6,7,8,1,2,3,4]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,9,5,6,7,8,1,2,3,4]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [8,9,10,5,6,7,1,2,3,4]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [10,9,8,5,6,7,1,2,3,4]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [9,10,7,8,5,6,1,2,3,4]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [10,9,7,8,5,6,1,2,3,4]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,9,8,7,5,6,1,2,3,4]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [10,9,8,7,6,5,1,2,3,4]=>111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [10,7,8,9,4,5,6,1,2,3]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [9,10,7,8,4,5,6,1,2,3]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [10,9,7,8,4,5,6,1,2,3]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,9,8,7,4,5,6,1,2,3]=>111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,8,9,6,7,4,5,1,2,3]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,9,8,6,7,4,5,1,2,3]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,9,8,7,6,4,5,1,2,3]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [10,9,8,7,6,5,4,1,2,3]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [9,10,7,8,5,6,3,4,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [10,9,7,8,5,6,3,4,1,2]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,9,8,7,5,6,3,4,1,2]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [10,9,8,7,6,5,3,4,1,2]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,8,7,6,5,4,3,1,2]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [3,4,6,2,7,1,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,2,5,4,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,7,5,4,1,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,6,2,8,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,2,5,4,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,4,5,1,3,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,8,5,1,3,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,6,8,1,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,4,1,7,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,1,5,8,3,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,4,8,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,6,3,7,5,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,2,5,8,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,6,1,7,5,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,5,4,1,6,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,4,6,2,8,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,4,3,8,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,6,3,5,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,4,3,6,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,6,2,7,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,4,1,6,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,3,2,7,1,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,3,2,7,1,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,6,3,2,7,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,2,8,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,1,7,8,5,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,1,6,3,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,2,1,8,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,2,1,6,4,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,4,3,2,1,5,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,3,8,2,1,6,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,8,2,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,2,8,5,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,3,2,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,4,3,2,1,7,5]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,6,4,3,2,1,8,5]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,8,4,3,2,1,6,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,4,7,2,1,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,3,2,6,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,2,1,6,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,3,2,1,6,4,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,7,2,5,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,8,3,5,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,5,7,8,4,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,5,7,8,6,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,7,2,8,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,7,2,8,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,6,1,7,4,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,2,1,4,7,6,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,2,1,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,4,1,3,7,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,8,4,1,3,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,1,7,8,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,2,8,6,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,8,2,1,7,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,8,2,1,4,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,3,2,1,5,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,7,3,2,1,5,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,7,3,2,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,5,2,1,4,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,2,8,6,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,2,1,4,6,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,6,5,4,3,2,1,9]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,8,9,7,6,5,4,3,2]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,9,7,6,5,4,3,2,1,10]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [7,6,8,5,4,3,2,1,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,8,7,5,4,3,2,1,9]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,8,7,9,6,5,4,3,2]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,7,9,8,6,5,4,3,2]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,9,10,8,7,6,5,4,3,2]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [7,8,3,5,4,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,3,7,5,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,1,6,3,2,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,1,6,2,3,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,1,6,2,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,1,6,2,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,6,5,1,8,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,6,5,1,8,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,6,5,1,4,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,6,4,1,5,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,6,1,5,4,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,6,1,4,8,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,6,1,4,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,1,8,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,1,8,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,6,1,5,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,6,4,1,8,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,7,6,3,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,7,6,3,8,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,6,2,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,6,4,1,8,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,5,1,8,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,1,8,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,8,7,6,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,3,4,8,5,7,1,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,5,4,8,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,5,8,7,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,1,4,5,8,7,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,3,5,8,7,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,4,8,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,4,8,7,5,6,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,4,8,7,5,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,6,5,4,8,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,5,6,8,4,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,5,6,8,1,4,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,5,6,8,1,2,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,1,5,8,7,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,1,5,8,7,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,1,5,8,3,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,1,6,3,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,1,5,8,3,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,5,8,2,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,1,5,8,2,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,7,8,2,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,5,7,8,2,4,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,6,4,5,8,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,3,6,1,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,5,8,6,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,5,4,8,6,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,8,5,6,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,8,7,1,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,4,8,1,7,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,8,1,6,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,8,5,1,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,5,4,8,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,3,5,8,2,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,4,5,8,3,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,3,5,8,2,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,4,8,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,8,5,1,6,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,4,8,1,6,5,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,8,1,5,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,2,6,1,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,6,2,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,7,2,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,7,2,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,7,2,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,7,1,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,7,1,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,5,7,1,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,7,5,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,7,5,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,7,4,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,7,4,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,7,1,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,7,1,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,7,2,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,7,2,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,7,5,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,7,5,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,7,5,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,7,5,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,7,4,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,7,4,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,7,2,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,7,2,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,2,7,1,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,2,7,4,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,2,7,5,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,7,5,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,7,5,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,5,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,7,5,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,7,5,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,7,4,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,7,1,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,7,3,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,2,8,6,4,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,1,8,6,2,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,8,6,1,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,4,5,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,1,7,4,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,7,4,2,8,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,7,3,8,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,8,3,5,6,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,6,2,5,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,2,8,6,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,8,4,2,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,8,4,1,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,3,5,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,8,3,4,6,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,8,2,6,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,3,8,5,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,4,8,5,3,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,1,4,8,5,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,3,7,8,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,3,7,8,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,7,3,5,6,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,7,3,6,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,3,7,8,1,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,4,7,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,4,8,2,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,4,8,6,1,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,3,8,4,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,2,3,6,1,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,3,5,7,1,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,7,8,3,6,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,1,3,6,7,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,8,2,4,7,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,8,1,2,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,2,8,1,3,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,8,2,5,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,1,4,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,3,6,2,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,4,2,6,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,1,4,2,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,1,2,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,1,2,8,7,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,3,1,4,2,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,1,6,4,2,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,6,4,1,7,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,7,5,2,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,7,2,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,6,1,2,8,7,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,1,8,6,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,2,7,5,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,7,1,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,7,2,8,6,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,5,8,2,7,1,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,6,2,8,1,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,2,6,8,1,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,6,1,3,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,1,2,5,6,8,7]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,3,6,8,4,7,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,2,5,4,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,5,7,3,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,6,5,4,8,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,5,8,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,8,4,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,4,7,6,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,7,1,5,4,3,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,1,5,4,3,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,1,5,7,3,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,6,1,7,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,6,1,4,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,1,4,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,8,5,1,3,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,2,8,4,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,2,4,3,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,6,2,8,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,6,2,4,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,2,4,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,3,8,4,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,3,5,8,6,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,2,1,4,3,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,3,1,4,6,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,3,2,5,4,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,3,5,1,6,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,5,1,3,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,6,5,7,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,6,5,8,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,6,5,1,8,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,3,4,5,6,7,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,9,2,3,4,5,6,7,8]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,1,2,3,4,5,6,7,8,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [7,8,1,2,3,4,5,6,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,8,9,2,3,4,5,6,7]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,10,2,3,4,5,6,7,8,9]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [10,1,2,3,4,5,6,7,8,9,11]=>1000000000=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [8,9,1,2,3,4,5,6,7,10]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,1,8,2,3,4,5,6,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,8,1,2,3,4,5,7,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,8,2,9,3,4,5,6,7]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,7,9,2,3,4,5,6,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,9,10,2,3,4,5,6,7,8]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [3,6,4,8,7,5,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,4,3,8,7,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,2,4,7,8,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,2,4,8,1,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,2,8,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,7,2,5,8,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,8,4,5,6,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,6,4,8,7,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,8,5,3,7,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,3,4,7,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,5,4,2,8,7,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,5,2,7,3,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,5,1,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,1,4,2,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,4,8,2,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,7,5,3,2,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,1,3,4,2,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,5,3,1,7,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,5,3,2,8,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,3,6,1,4,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,8,6,4,1,3,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,6,2,5,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,2,5,8,1,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,7,4,2,3,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,1,7,8,2,4,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,6,3,4,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,1,4,5,6,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,8,3,6,5,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,3,2,7,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,3,8,5,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,1,7,5,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,8,1,4,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,7,3,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,4,3,7,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,3,4,8,7,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,4,5,2,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,3,5,4,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,3,8,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,4,6,3,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,4,7,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,5,7,4,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,5,8,3,4,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,7,1,2,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,3,8,2,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,4,1,2,3,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,7,4,1,3,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,7,8,4,1,2,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,7,5,3,8,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,6,7,3,1,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,4,6,3,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,5,3,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,5,8,4,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,8,4,2,3,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,4,3,1,2,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,1,4,2,8,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,5,3,2,7,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,5,1,2,4,7,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,7,5,8,2,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,8,2,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,5,7,6,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,8,5,7,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,5,6,2,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,2,1,4,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,2,5,6,1,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,5,6,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,5,6,3,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,2,5,7,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,8,6,2,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,6,1,7,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,1,5,7,2,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,6,5,7,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,5,8,1,2,4,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,7,6,8,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,7,8,6,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,5,8,1,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,5,7,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,5,7,6,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,8,6,1,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,8,6,5,7,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,3,6,7,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,5,6,3,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,5,4,1,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,1,3,5,4,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,5,3,4,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,6,2,4,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,6,3,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,2,6,7,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,1,6,5,7,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,8,6,2,7,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,1,6,3,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,6,3,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,6,5,4,2,8,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,7,6,1,4,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,2,6,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,3,5,6,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,4,1,5,6,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,6,4,1,2,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,6,1,5,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,6,4,5,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,6,5,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,6,5,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,5,7,6,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,5,4,1,6,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,5,4,3,7,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,4,2,1,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,2,6,5,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,2,5,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,3,5,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,4,5,7,8,2]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [7,2,6,4,5,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,3,6,5,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,3,6,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,7,8,5,6,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,7,2,5,1,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,7,2,5,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,2,4,7,1,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,3,4,5,7,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,6,7,5,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,7,5,8,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,6,4,5,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,6,5,1,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,7,6,5,8,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,6,1,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,8,6,4,1,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,3,6,2,5,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,2,5,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,2,5,6,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,6,2,5,7,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,5,8,7,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,8,6,4,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,6,8,4,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,3,6,7,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,5,8,3,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,8,7,2,3,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,5,7,4,2,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,4,7,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,5,1,8,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,7,1,4,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,8,1,3,2,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,5,1,3,4,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,3,4,5,1,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,3,1,5,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,8,3,1,7,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,4,8,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,7,4,1,6,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,7,3,6,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,6,3,1,2,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,5,6,8,1,4,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,7,1,6,5,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,8,5,4,3,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,1,2,8,4,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,3,6,5,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,1,4,5,6,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,1,5,4,6,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,1,8,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,2,1,4,5,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,4,1,5,3,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,1,5,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,6,4,3,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,1,6,3,4,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,1,8,2,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,1,7,5,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,1,8,5,3,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,6,1,7,4,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,1,5,7,4,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,6,1,7,4,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,5,6,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,6,4,8,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,7,8,5,3,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,8,6,5,4,2,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,5,7,3,4,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,7,5,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,3,6,2,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,7,4,6,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,6,3,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,6,5,4,8,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,5,7,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,7,6,8,3,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,7,5,3,8,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,5,6,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,1,7,6,8,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,6,2,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,4,2,7,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,5,2,4,6,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,6,3,7,4,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,6,2,4,5,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,4,7,2,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,1,7,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,1,8,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,4,1,8,5,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,1,4,8,3,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,1,8,4,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,2,8,4,3,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,1,4,3,8,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,2,5,8,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,1,3,7,2,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,2,1,7,3,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,2,1,8,5,3,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,4,2,8,3,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,1,5,8,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,6,8,4,5,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,6,8,5,3,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,6,8,5,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,8,6,7,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,6,7,3,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,5,4,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,8,5,6,7,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,5,8,4,7,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,3,8,6,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,2,8,7,3,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,5,8,7,3,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,5,7,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,8,7,5,6,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,7,4,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,5,7,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,8,7,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,1,8,7,6,2,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,6,7,4,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,7,5,6,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,1,6,3,5,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,4,3,5,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,4,3,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,1,4,3,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,1,3,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,1,3,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,1,3,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,1,3,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,6,4,3,5,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,1,4,3,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,1,3,5,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,2,1,3,5,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,2,1,3,5,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,2,1,3,6,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,2,1,6,3,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,2,1,8,3,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,2,1,8,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,1,4,3,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,4,3,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,4,3,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,4,3,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,1,3,6,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,1,3,6,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,1,6,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,2,1,4,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,2,1,4,3,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,1,4,6,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,8,4,6,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,4,8,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,4,8,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,4,1,8,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,4,8,1,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,2,8,1,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,6,1,3,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,8,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,1,8,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,1,6,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,1,4,6,3,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,1,4,8,3,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,6,8,3,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,6,3,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,3,6,8,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,4,3,8,6,5,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,3,8,6,5,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,1,3,8,6,5,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,8,3,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,8,6,3,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,1,8,4,3,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,1,6,4,3,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,6,1,4,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,8,1,4,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,1,6,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,1,3,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,1,3,6,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,1,8,3,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,8,3,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,4,8,6,3,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,8,1,6,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,8,6,1,3,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,8,6,1,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,8,4,1,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,2,6,4,1,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,6,2,1,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,8,2,1,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,8,2,1,3,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,8,4,1,3,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,8,1,4,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,1,8,4,3,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,6,8,4,3,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,8,6,4,3,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,1,6,4,3,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,6,4,1,3,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,8,6,2,1,3,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,4,2,1,3,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,2,6,1,5,4,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,4,3,8,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,4,1,5,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,1,5,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,2,8,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,2,6,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,2,6,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,1,7,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,1,5,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,3,4,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,1,3,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,5,4,8,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,6,8,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,6,8,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,1,8,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,5,8,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,5,4,7,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,5,4,8,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,3,8,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,5,8,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,8,4,6,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,6,1,3,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,3,4,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,3,7,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,1,7,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,2,6,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,2,6,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,3,5,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,1,5,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,1,5,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,1,7,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,3,6,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,4,6,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,1,5,4,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,6,8,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,1,8,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,5,8,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,2,4,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,2,4,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,4,1,8,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,2,4,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,1,5,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,3,8,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,3,2,8,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,5,6,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,6,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,8,1,5,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,4,5,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,2,6,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,2,6,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,1,7,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,5,8,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,4,8,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,1,8,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,7,4,8,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,1,8,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,3,8,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,1,5,4,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,3,4,7,1,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,3,5,7,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,5,3,1,8,6,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,1,8,5,3,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,1,3,8,2,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,4,8,3,2,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,4,3,2,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,8,5,4,3,2,6,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,7,4,3,8,5,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,7,3,8,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,4,7,8,3,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,1,5,7,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,3,7,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,6,5,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,8,5,3,7,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,1,7,4,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,1,7,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,7,1,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,4,1,3,8,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,5,6,3,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,1,7,8,5,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,4,6,3,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,4,3,7,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,4,8,3,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,6,3,4,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,7,3,1,4,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,8,3,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,3,5,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,3,6,2,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,1,7,3,5,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,2,6,3,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,2,6,3,5,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,8,7,4,5,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,7,1,5,6,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,1,2,7,5,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,2,7,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,2,6,7,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,1,8,6,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,5,7,6,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,7,8,5,2,6,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,1,6,4,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,6,1,5,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,8,6,1,5,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,6,1,5,3,4,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,1,6,4,5,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,7,5,6,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,6,7,5,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,5,2,1,4,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,5,7,2,8,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,2,7,4,3,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,3,6,1,2,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,4,6,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,4,5,7,2,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,4,6,3,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,4,6,3,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,7,3,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,7,5,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,1,4,7,3,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,3,7,1,4,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,8,5,7,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,3,7,1,8,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,1,4,7,8,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,3,4,7,5,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,4,6,8,3,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,1,3,5,8,6,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,3,7,1,2,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,4,1,7,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,1,2,5,7,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,7,5,4,1,3,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,2,6,4,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,6,7,4,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,8,4,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,8,2,4,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,6,2,1,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,6,2,1,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,6,2,8,7,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,6,4,2,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,6,7,5,4,8,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,7,4,5,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,5,1,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,7,5,8,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,7,3,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,3,6,1,2,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,7,2,5,6,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,7,1,6,5,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,1,8,7,5,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,6,2,7,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,1,2,5,8,7,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,1,4,8,2,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,1,8,7,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,6,4,7,1,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,1,5,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,1,5,7,6,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,7,1,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,2,7,6,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,7,6,5,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,2,7,6,5,4,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,7,2,6,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,2,6,5,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,7,2,6,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,2,1,6,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,7,3,1,6,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,7,3,2,1,6,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,7,3,2,6,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,7,3,2,6,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,7,3,6,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,3,6,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,7,3,6,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,3,6,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,7,3,6,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,8,7,6,3,4,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,7,6,3,1,4,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,6,3,2,4,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,6,2,4,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,7,6,2,1,4,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,6,4,2,3,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,6,4,2,1,3]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,8,7,6,4,1,3,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,6,4,3,1,2]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [7,3,4,2,1,6,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,2,6,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,2,6,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,2,7,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,1,5,6,4,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,1,6,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,5,6,1,3,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,5,7,3,2,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,6,7,3,8,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,5,7,3,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,7,1,3,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,5,1,7,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,1,5,7,4,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,1,5,7,4,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,6,7,3,8,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,6,7,3,8,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,6,7,8,3,4,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,5,6,7,8,3,1,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,2,1,6,7,8,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,1,6,7,8,4,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,6,1,7,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,6,7,1,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,6,7,8,3,2,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,4,5,7,2,1,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,7,2,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,6,2,7,8,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,6,2,7,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,2,7,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,2,1,7,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,1,2,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,6,2,7,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,2,7,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,6,2,7,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,6,7,2,8,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,6,7,2,8,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,5,7,2,1,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,1,5,7,3,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,6,7,8,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,6,1,7,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,7,8,2,4,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,5,6,7,8,4,2,3]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,4,6,7,1,8,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,6,1,7,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,6,7,8,5,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,3,6,1,7,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,6,7,1,8,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,6,7,8,1,4,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,1,4,3,6,5,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,4,1,3,6,5,8,7,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,4,1,6,3,5,8,7,9]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,4,1,6,3,8,5,7,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,4,1,6,3,7,5,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,4,1,5,3,7,6,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,3,1,5,4,7,6,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,3,2,5,4,7,6,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,4,1,3,6,5,8,7,10,9]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,4,6,1,3,5,8,7,9]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,4,1,6,3,5,8,7,10,9]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,4,1,6,8,3,5,7,9]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,4,1,6,3,8,5,7,10,9]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,4,1,6,3,8,9,5,7]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,4,1,6,3,8,5,10,7,9]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,4,1,6,3,7,5,8,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,4,1,6,3,8,5,9,7,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,4,1,5,3,8,6,9,7]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,4,1,6,3,7,5,9,8,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,3,1,6,4,7,5,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,4,1,5,3,7,6,9,8,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,4,2,5,3,7,6,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,3,1,5,4,7,6,9,8,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,3,2,5,4,7,6,9,8,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,1,2,3,4,5,6,8,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [1,4,3,6,2,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,3,7,2,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,3,7,6,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,3,7,5,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,3,7,2,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,7,4,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,6,5,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,8,2,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,8,3,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,3,6,5,8,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,2,4,5,7,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,7,8,4,5,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,1,4,5,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,4,1,6,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,3,6,1,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,1,6,4,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,1,4,7,6,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,1,8,6,2,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,1,8,2,6,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,8,4,2,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,8,5,2,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,3,8,5,2,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,8,3,6,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,1,8,4,2,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,4,1,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,3,6,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,3,6,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,3,6,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,2,8,3,5,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,3,8,4,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,2,3,8,4,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,3,8,1,4,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,8,1,3,5,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,1,8,7,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,1,4,2,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,4,2,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,8,7,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,8,5,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,1,8,3,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,1,3,8,4,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,5,3,8,4,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,8,3,7,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,1,3,7,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,3,7,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,8,3,7,6,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,3,8,1,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,4,1,3,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,5,4,8,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,4,8,2,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,3,8,4,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,3,7,6,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,3,7,1,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,2,3,7,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,8,2,3,7,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,8,3,7,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,1,5,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,1,2,4,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,3,8,2,4,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,3,8,2,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,4,8,2,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,8,2,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,8,1,2,7,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,1,2,8,7,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,3,1,6,4,2,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,6,2,8,7,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,5,8,2,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,2,5,8,7,6,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,2,5,8,7,6,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,5,2,8,7,4,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,1,2,8,7,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,8,7,5,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,1,8,7,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,1,5,8,2,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,2,8,7,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,7,2,6,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,7,1,2,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,8,1,7,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,8,7,2,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,4,8,2,7,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,8,1,2,7,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,8,2,7,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,8,2,7,6,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,8,1,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,1,2,5,8,7,6]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,1,4,2,5,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,5,1,8,7,6,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,2,1,5,3,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,2,7,3,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,7,5,4,1,8,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,5,4,2,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,1,5,4,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,5,4,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,2,5,4,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,2,5,4,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,1,5,4,7,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,6,1,4,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,6,2,4,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,1,7,3,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,7,5,8,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,1,8,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,7,4,8,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,6,7,4,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,6,5,3,8,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,7,6,5,3,8,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,5,2,4,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,6,5,3,1,4,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,7,1,4,8,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,6,4,8,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,6,3,8,4,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,6,2,4,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,6,5,2,1,3,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,7,6,5,2,8,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,6,5,1,8,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,7,6,5,2,8,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,5,3,2,8,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,7,6,5,1,2,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,6,5,3,1,8,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,3,5,4,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,6,3,4,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,2,4,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,6,3,4,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,2,4,8,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,2,8,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,2,6,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,1,5,3,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,6,2,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,6,8,3,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,7,4,8,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,1,6,7,4,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,5,4,6,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,6,3,5,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,1,2,5,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,5,2,4,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,6,5,1,4,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,6,5,2,1,8,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,6,5,8,2,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,5,8,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,5,1,2,4,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,6,8,4,2,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,6,8,3,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,6,5,1,4,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,6,5,8,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,6,5,8,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,2,1,7,4,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,1,7,3,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,5,4,2,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,1,5,2,7,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,5,1,3,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,7,2,1,5,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,2,5,3,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,5,4,1,3,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,4,3,2,1,8,6]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,5,2,1,8,4,3,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,3,2,8,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,4,3,2,8,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,2,4,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,3,6,4,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,5,3,8,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,5,3,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,3,2,7,1,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,3,1,6,5,4,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,2,6,1,5,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,5,7,4,3,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,7,2,4,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,1,7,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,5,6,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,5,8,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,2,6,8,4,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,8,1,4,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,8,4,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,4,8,3,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,3,7,2,1,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,4,7,1,3,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,5,8,1,4,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,8,2,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,5,1,8,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,1,5,7,3,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,2,5,8,3,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,1,6,8,2,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,7,4,8,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,2,5,8,6,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,1,8,4,7,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,3,8,7,4,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,8,1,7,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,1,7,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,8,1,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,8,1,5,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,7,1,3,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,7,2,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,7,6,1,5,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,7,6,5,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,8,7,6,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,8,7,6,1,3,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,5,8,7,2,6,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,3,8,6,5,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,8,6,4,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [5,8,7,3,6,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,6,2,5,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,7,6,5,1,4,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,7,6,5,4,1,3]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,4,1,2,5,6,7,8,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [3,2,1,4,5,6,7,8,9]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [4,5,6,1,2,3,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [4,2,5,1,3,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,3,2,1,5,6,7,8,9]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [5,6,7,8,1,2,3,4,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,2,6,7,1,3,4,8,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [5,6,3,4,1,2,7,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [5,3,2,6,1,4,7,8,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,4,3,2,1,6,7,8,9]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [6,2,7,8,9,1,3,4,5]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [6,7,3,4,8,1,2,5,9]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,3,2,7,8,1,4,5,9]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [6,4,7,2,5,1,3,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [6,4,3,2,7,1,5,8,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [6,5,4,3,2,1,7,8,9]=>11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [7,4,8,2,5,9,1,3,6]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [7,4,3,2,8,9,1,5,6]=>11100100=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [7,8,5,6,3,4,1,2,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [7,5,3,8,2,6,1,4,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [7,5,4,3,2,8,1,6,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [7,6,5,4,3,2,1,8,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,6,9,4,7,2,5,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,6,4,3,9,2,7,1,5]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [8,6,5,4,3,2,9,1,7]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,1,2,5,6,7,8,9,10]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,2,1,4,5,6,7,8,9,10]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [4,5,6,1,2,3,7,8,9,10]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,2,5,1,3,6,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [4,3,2,1,5,6,7,8,9,10]=>111000000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [5,6,7,8,1,2,3,4,9,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [5,2,6,7,1,3,4,8,9,10]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [5,6,3,4,1,2,7,8,9,10]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [5,3,2,6,1,4,7,8,9,10]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,4,3,2,1,6,7,8,9,10]=>111100000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [6,2,7,8,9,1,3,4,5,10]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [6,7,3,4,8,1,2,5,9,10]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [6,3,2,7,8,1,4,5,9,10]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [6,4,7,2,5,1,3,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,4,3,2,7,1,5,8,9,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,5,4,3,2,1,7,8,9,10]=>111110000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [7,8,3,4,9,10,1,2,5,6]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,9,4,5,6,1,2,3,10]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,4,3,2,8,9,1,5,6,10]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [7,8,5,6,3,4,1,2,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,5,3,8,2,6,1,4,9,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [7,5,4,3,2,8,1,6,9,10]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [7,6,5,4,3,2,1,8,9,10]=>111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [8,5,9,10,2,6,7,1,3,4]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,5,3,9,2,6,10,1,4,7]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [8,6,9,4,7,2,5,1,3,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [8,6,4,3,9,2,7,1,5,10]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [8,6,5,4,3,2,9,1,7,10]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [8,7,6,5,4,3,2,1,9,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [9,7,5,4,3,10,2,8,1,6]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [3,6,5,1,2,4,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,5,8,2,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,7,2,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,8,4,3,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,6,4,3,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,2,5,4,3,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,2,4,6,3,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,2,6,5,3,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,7,8,3,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,5,8,7,3,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,1,8,3,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,8,5,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,7,4,8,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,8,1,4,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,8,7,3,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,8,4,7,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,7,5,2,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,1,6,3,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,3,7,5,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,2,3,8,6,5,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,1,2,3,5,8,6,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,8,1,4,3,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,3,2,4,1,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,7,3,4,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,3,2,4,1,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,4,3,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,2,3,5,7,6,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,1,2,3,6,7,5,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,2,3,6,8,5,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,2,3,8,5,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,3,7,5,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,3,6,5,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,8,5,4,3,2,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,8,2,6,3,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,7,3,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,8,3,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,7,1,4,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,1,4,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,8,1,4,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,8,2,4,1,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,7,1,4,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,2,8,3,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,2,7,3,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,7,5,4,3,2,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,7,4,5,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,7,1,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,7,3,4,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,3,2,4,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,4,3,6,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,2,3,5,6,8,4]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,1,2,3,8,7,4,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,3,7,8,6,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,1,2,3,8,7,6,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,1,2,3,8,6,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,2,3,5,8,7,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,2,4,3,1,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,3,2,4,8,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,6,3,4,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,3,2,4,7,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,2,4,3,1,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,2,3,5,7,8,4]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,1,2,3,6,8,7,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,1,2,6,3,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,8,2,7,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,8,5,4,7,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,8,5,4,2,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,6,8,4,7,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,6,8,4,7,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,1,7,3,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,8,5,7,6,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,6,8,4,5,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,1,2,4,3,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,6,1,5,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,2,6,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,4,7,2,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,4,2,8,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,3,8,5,4,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,1,7,3,5,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,6,5,4,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,1,6,5,4,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,2,1,4,6,3,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,3,6,5,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,2,3,6,5,4,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,1,2,7,3,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,3,8,5,4,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,8,2,7,6,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,8,2,7,6,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,7,6,3,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,1,7,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,1,7,4,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,4,1,2,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,3,8,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,1,8,7,6,3,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,3,8,7,4,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,5,3,8,7,4,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,7,6,5,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,5,3,8,7,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,4,1,7,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,8,7,1,4,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,8,4,1,7,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,7,6,3,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,8,7,6,5,3,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,1,8,7,6,5,3,2]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [4,3,8,7,6,5,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,3,1,8,7,2,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,3,7,6,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,8,7,6,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,3,8,7,6,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,8,4,7,2,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,4,7,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,7,4,6,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,1,2,4,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,3,1,2,4,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,2,4,3,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,1,2,4,3,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,1,7,2,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,8,1,7,2,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,5,8,7,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,1,8,7,4,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,8,7,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,1,2,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,3,1,7,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,2,8,7,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,5,8,7,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,8,7,6,2,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,1,4,8,7,6,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,8,7,6,5,1,2]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,3,4,8,7,6,2,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,8,7,6,2,5,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,5,8,7,4,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,8,3,1,7,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,3,5,8,7,4,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,7,5,8,6,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,1,4,8,2,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,1,3,7,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,8,1,2,6,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,8,2,6,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,7,8,1,6,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,7,8,1,3,6,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,2,6,7,3,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,6,7,5,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,5,7,1,3,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,1,6,7,3,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,3,7,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,4,7,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,4,1,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,3,7,4,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,3,7,5,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,1,6,7,5,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,5,7,1,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,7,2,3,6,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,4,2,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,7,4,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,2,4,7,1,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,3,5,7,1,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,4,7,3,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,7,1,4,6,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,2,4,6,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,1,4,6,2,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,7,1,3,6,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,3,7,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,5,7,1,2,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,7,1,3,6,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,4,7,1,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,7,1,2,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,1,4,7,2,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,6,8,2,7,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,5,8,2,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,3,1,7,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,2,8,1,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,5,7,2,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,3,6,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,5,7,1,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,3,7,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,8,2,7,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,2,7,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,4,7,3,1,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,5,7,3,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,2,5,7,1,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,4,7,2,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,3,4,6,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,7,2,4,6,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,5,7,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,4,5,1,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,4,5,2,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,2,3,6,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,3,4,6,1,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,2,3,6,1,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,2,8,5,4,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,5,3,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,8,4,3,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,8,4,3,7,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,4,3,1,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,4,8,2,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,4,8,2,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,1,8,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,5,2,3,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,5,4,3,2,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,4,2,8,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,2,8,7,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,3,2,8,7,5,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,5,3,2,1,7,8,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,6,3,2,7,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,6,3,2,7,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,4,2,7,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,6,4,3,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,4,3,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,4,1,3,6,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,4,2,6,1,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,7,3,2,6,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,2,6,4,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,3,2,5,4,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,3,2,1,5,4,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,7,5,6,2,3,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,5,6,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,5,6,1,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,5,7,1,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,5,7,2,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,7,2,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,4,1,7,2,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,6,2,1,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,5,7,1,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,1,7,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,6,7,2,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,6,8,7,3,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,6,8,7,1,2,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,1,6,8,7,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,6,8,7,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,5,1,8,7,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,8,6,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,8,5,6,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,5,1,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,1,8,6,7,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,8,6,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,8,6,7,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,3,2,6,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,8,7,1,6,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,8,7,6,1,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,8,7,6,4,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,2,1,8,6,5,4,3]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,3,6,1,8,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,7,8,5,4,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,3,7,8,6,4,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,1,7,8,6,5,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,4,7,8,6,1,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,5,7,6,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,7,6,8,1,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,6,8,3,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,1,7,6,8,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,7,5,8,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,5,1,8,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,6,4,3,1,8,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,1,7,4,3,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,7,5,3,8,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,7,5,1,4,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,7,5,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,7,6,5,4,3,2]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,7,6,1,5,4,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,6,5,1,4,2,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,6,5,3,1,2,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,4,3,1,5,7,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,4,1,5,2,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,5,1,3,2,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,3,1,7,2,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,3,1,5,2,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,1,7,2,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,1,2,4,5,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,1,2,4,7,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,5,1,2,6,7,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,5,1,6,4,2,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,1,3,6,4,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,1,5,3,4,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,1,5,2,4,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,1,2,5,7,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,1,2,7,4,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,2,5,4,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,4,2,3,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,2,7,3,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,8,2,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,1,2,4,6,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,7,8,1,3,4,6,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,1,7,3,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,7,2,4,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,4,1,2,7,6,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,2,3,8,7,5,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,2,7,6,3,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,2,8,7,5,3,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,2,4,8,7,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,8,4,6,7,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,7,6,4,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,2,4,6,8,5,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,2,6,8,5,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,2,7,8,5,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,2,7,4,8,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,4,7,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,1,3,8,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,8,4,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,5,3,2,8,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,4,5,2,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,3,1,5,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,7,3,1,5,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,7,4,5,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,5,3,2,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,7,1,2,6,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,2,8,4,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,2,8,6,4,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,7,2,6,4,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,3,8,6,5,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,2,3,8,5,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,7,2,4,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,1,3,4,7,6,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,1,8,6,4,7,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,6,7,4,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,2,8,7,3,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,3,5,8,4,7,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,5,8,6,4,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,1,2,8,3,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,2,8,6,4,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,7,8,4,6,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,8,7,6,4,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,2,7,4,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,2,7,3,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,3,5,8,7,4,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,3,6,8,5,4,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,8,5,6,3,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,5,3,6,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,6,3,1,4,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,8,3,1,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,5,3,1,4,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,5,3,1,6,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,5,3,1,6,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,5,3,6,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,3,6,4,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,8,5,3,4,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,3,1,4,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,5,3,1,2,6,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,3,8,1,2,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,8,3,4,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,3,4,6,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,6,3,4,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,3,1,4,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,3,1,2,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,3,6,1,2,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,4,1,2,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,1,4,2,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,1,4,2,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,1,6,2,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,1,6,4,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,6,1,4,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,6,4,1,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,3,6,4,8,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,8,4,6,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,8,1,4,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,1,8,4,6,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,1,8,2,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,3,1,8,2,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,1,6,2,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,3,1,6,4,2,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,3,1,8,4,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,3,1,8,6,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,3,8,1,6,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,3,8,6,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,3,8,6,4,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,8,3,6,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,8,3,6,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,3,1,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,3,1,6,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,3,6,1,4,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,6,4,1,2,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,3,8,4,1,2,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,6,3,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,8,6,3,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,8,6,3,4,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,6,8,3,1,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,3,8,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,4,1,6,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,4,1,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,6,3,1,8,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,6,3,1,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,6,3,8,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,3,8,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,3,6,8,4,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,3,6,8,1,4,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,3,6,1,8,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,3,1,6,8,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,3,1,6,8,2,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,1,4,8,2,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,1,4,6,2,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,1,2,6,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,1,2,8,4,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,1,2,8,6,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,3,1,4,8,6,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,3,4,1,8,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,3,4,8,1,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,3,4,8,6,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,3,4,6,1,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,3,4,1,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,3,1,4,6,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,3,1,2,6,8,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,3,1,2,4,8,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,6,2,5,4,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,8,4,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,3,2,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,8,3,2,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,5,3,2,1,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,2,6,4,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,8,3,2,7,6,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,6,3,8,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,6,3,7,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,5,3,2,7,6,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,4,3,2,7,6,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,2,8,4,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,5,8,4,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,7,4,8,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,4,3,2,8,6,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,7,5,3,2,8,6,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,7,8,3,6,5,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,8,3,7,5,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,4,3,8,5,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,3,2,6,8,5,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,1,8,6,7,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,2,6,7,5,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,6,4,3,7,5,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,5,7,6,4,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,4,5,3,2,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,3,6,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,6,3,7,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,3,8,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,2,6,8,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,2,6,7,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,2,5,4,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,2,8,6,5,4,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,2,8,7,5,4,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,4,7,3,8,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,8,3,7,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,8,3,6,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,5,3,2,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,4,3,2,8,6,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,3,2,5,4,8,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,7,5,4,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,8,6,5,4,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,4,3,6,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,5,7,4,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,8,4,3,7,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,2,8,7,5,4,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,3,2,7,8,5,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,7,4,3,8,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,1,4,5,6,7,8,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,1,5,6,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,4,5,1,6,7,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,4,5,6,1,7,8,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,1,4,5,6,7,8,9,10]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,4,3,1,5,6,7,8,9]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,3,4,1,5,6,7,8,9,10]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,3,5,4,1,6,7,8,9]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,4,5,1,6,7,8,9,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,3,4,6,5,1,7,8,9]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [2,3,4,5,6,1,7,8,9,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,3,4,5,7,6,1,8,9]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [2,3,4,5,6,7,1,8,9,10]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,3,4,5,6,8,7,1,9]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,3,4,5,6,7,8,1,9,10]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,3,4,5,6,7,9,8,1]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [4,6,8,3,5,7,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,1,2,4,5,7,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,8,2,4,7,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,5,2,4,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,7,3,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,8,3,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,5,8,3,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,6,8,4,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,5,8,3,6,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,6,8,4,7,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,8,2,4,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,2,6,8,5,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,3,8,2,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,3,2,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,3,7,2,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,6,2,7,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,2,1,8,5,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,7,3,2,5,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,1,7,8,2,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,1,2,7,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,1,4,8,2,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,7,3,8,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,4,7,6,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,1,4,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,1,2,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,3,1,7,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,3,5,2,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,1,5,2,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,6,5,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,7,6,4,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,3,4,2,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,6,2,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,7,4,2,5,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,8,7,5,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,4,3,8,5,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,2,8,4,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,3,2,6,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,3,2,7,4,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,1,8,5,4,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,3,2,7,4,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,6,3,7,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,3,1,6,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,7,3,8,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,2,3,7,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,7,2,8,4,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,8,2,4,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,2,7,8,3,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,1,7,8,6,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,1,7,3,8,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,8,4,3,1,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,3,2,1,8,4,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,3,2,5,6,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,8,2,4,5,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,6,1,2,4,5,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,3,7,6,2,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,8,7,5,1,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,6,5,2,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,3,5,2,4,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,2,5,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,1,6,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,1,7,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,1,7,6,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,5,6,2,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,7,3,6,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,7,5,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,7,5,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,2,6,4,3,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,1,7,5,4,3,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,1,8,6,4,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,6,4,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,7,5,4,3,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,8,6,5,4,3,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,7,5,4,3,8,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,2,4,3,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,2,8,3,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,6,5,2,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,3,8,6,5,4,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,7,6,5,2,4,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,7,3,2,6,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,4,3,2,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,5,3,2,1,7,4]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,6,3,2,1,7,4,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,4,1,7,2,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,5,1,7,3,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,1,7,4,3,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,3,2,7,5,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,3,7,2,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,3,1,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,5,8,3,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,4,1,8,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,3,1,8,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,7,2,5,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,3,7,2,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,1,8,7,5,2,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,8,6,3,5,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,6,3,5,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,6,8,4,2,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,5,4,8,7,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,4,6,8,7,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,3,8,7,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,4,8,7,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,1,6,7,5,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,1,6,4,8,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,6,8,5,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,7,2,6,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,5,2,8,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,5,7,2,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,3,8,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,7,3,5,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,4,7,5,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,4,1,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,2,1,6,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,2,1,8,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,4,3,1,5,2]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,7,6,4,1,5,2,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,7,2,1,4,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,2,7,1,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,2,1,5,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,8,1,6,5,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,1,5,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,6,1,4,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,1,7,3,5,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,1,7,5,4,2,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,2,8,7,3,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,4,6,7,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,8,5,4,7,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,5,8,6,4,3,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,5,6,4,3,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,5,7,8,4,3,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,7,4,8,6,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,8,3,6,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,1,8,6,3,5,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,7,6,3,5,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,7,4,6,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,5,8,3,4,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,6,4,2,3,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,2,4,7,3,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,4,5,7,3,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,7,1,4,5,8,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,6,4,5,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,5,6,8,2,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,4,6,5,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,2,3,8,5,4,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,5,4,3,8,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,4,2,6,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,5,4,6,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,6,4,3,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,5,4,3,2,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,2,5,4,3,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,1,7,4,3,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,1,4,7,8,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,1,4,8,6,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,4,7,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,2,4,8,7,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,8,2,4,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,7,2,3,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,8,2,4,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,4,2,8,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,2,5,8,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,8,1,3,5,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,8,1,2,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,1,7,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,3,1,5,6,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,1,5,4,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,1,7,6,8,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,7,5,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,5,7,6,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,4,1,6,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,7,2,5,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,8,1,2,3,6,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,6,1,5,3,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,1,3,8,2,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,5,1,3,4,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,6,4,1,3,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,5,2,1,3,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,5,3,7,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,2,8,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,3,1,5,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,3,8,4,1,5,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,4,1,6,5,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,3,6,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,5,7,2,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,5,2,7,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,5,2,1,7,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,5,3,1,4,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,5,4,2,8,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,4,7,2,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,8,2,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,5,8,2,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,8,2,4,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,2,4,3,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,6,2,4,7,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,6,2,4,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,8,2,4,7,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,7,2,4,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,5,7,2,4,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,7,2,4,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,6,7,2,4,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,8,2,4,6,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,7,2,4,6,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,7,8,3,2,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,8,3,2,4,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,6,2,4,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,6,2,8,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,4,2,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,2,4,3,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,6,2,4,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,7,3,2,4,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,2,3,5,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,2,3,4,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,5,2,3,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,4,2,8,6,5,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,5,2,8,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,7,5,2,3,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,5,2,8,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,5,6,2,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,7,6,2,4,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,3,2,4,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,5,2,3,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,5,2,3,7,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,8,4,2,3,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,4,6,2,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,5,2,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,8,5,2,3,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,4,2,3,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,4,2,3,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,8,6,2,4,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,7,3,2,4,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,3,4,2,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,4,2,8,5,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,7,4,2,3,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,4,2,3,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,4,2,8,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,7,5,2,8,6,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,4,2,3,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,6,1,4,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,5,6,1,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,1,6,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,1,4,2,7,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,1,4,2,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,7,4,3,5,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,1,4,3,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,1,4,3,5,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,1,6,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,1,6,3,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,4,7,6,5,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,7,4,3,5,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,4,3,5,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,4,3,5,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,6,4,2,7,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,1,3,7,2,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,1,3,8,2,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,1,3,8,2,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,6,4,2,8,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,3,1,2,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,8,1,2,6,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,1,4,2,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,6,4,2,7,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,1,3,7,2,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,1,3,6,2,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,7,3,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,4,3,7,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,3,4,7,6,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,8,4,6,2,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,4,6,8,2,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,3,7,8,6,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,7,3,8,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,6,8,3,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,3,4,8,6,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,4,8,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,3,4,2,8,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,4,3,8,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,7,3,8,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,3,7,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,3,4,7,6,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,3,7,8,6,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,3,4,8,6,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,5,6,3,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,6,3,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,6,8,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,5,6,8,4,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,3,8,5,6,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,3,8,7,6,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,7,5,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,3,7,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,8,4,2,6,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,1,8,2,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,4,8,5,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,3,8,5,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,3,6,2,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,8,6,3,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,8,7,3,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,5,7,6,3,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,5,3,8,7,6,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,5,8,6,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,8,6,5,2,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,7,3,6,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,5,3,2,1,4]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,7,6,8,3,4,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,6,8,4,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,7,6,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,4,6,5,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,6,5,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,4,8,6,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,6,5,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,4,7,5,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,7,5,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,8,5,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,6,5,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,8,6,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,5,4,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,5,2,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,6,5,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,8,5,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,6,5,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,7,6,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,6,8,2,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,6,8,4,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,6,8,1,4,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,6,1,3,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,6,7,1,3,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,7,6,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,6,8,2,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,3,2,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,6,2,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,7,2,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,4,2,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,4,2,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,1,4,3,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,2,4,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,6,5,8,7,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,5,7,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,1,5,6,7,8,9,2]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,4,5,1,6,7,8,9,2]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,4,5,6,1,7,8,9,2]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,4,5,6,7,1,8,9,2]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,4,5,6,7,8,1,9,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,1,2,5,6,7,8,9,4]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [3,4,1,5,6,7,8,9,10,2]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [3,4,1,2,6,7,8,9,5]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,4,5,1,6,7,8,9,10,2]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [3,4,5,1,2,7,8,9,6]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,4,5,6,1,7,8,9,10,2]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [3,4,5,6,1,2,8,9,7]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,4,5,6,7,1,8,9,10,2]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [3,4,5,6,7,1,2,9,8]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,4,5,6,7,8,1,9,10,2]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,4,5,6,7,8,1,2,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,4,5,6,7,8,9,1,10,2]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,6,2,3,8,7,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,3,2,8,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,7,6,2,5,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,6,5,3,7,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,6,5,3,7,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,7,5,2,6,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,7,4,2,6,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,6,4,3,7,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,6,4,3,7,5,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,7,3,2,5,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,3,2,5,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,3,2,4,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,5,3,2,8,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,3,2,4,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,4,3,1,8,2]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,8,5,4,3,2,1,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,7,6,5,4,3,1,9,2]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,9,6,5,4,3,2,1,8]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [9,8,7,6,5,4,3,1,10,2]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,7,6,5,4,3,9,8,2]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,1,5,4,3,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,5,4,8,1,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,4,3,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,5,4,3,7,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,9,6,5,4,3,2,8,7]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,10,7,6,5,4,3,2,1,9]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,8,7,6,5,4,3,10,9,2]=>011111011=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [8,1,6,5,4,3,9,7,2]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [3,7,6,5,4,9,1,8,2]=>01110101=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [7,6,1,4,3,8,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,5,8,3,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,5,1,3,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,2,4,3,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,9,1,5,4,3,2,8,6]=>01011101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,8,5,4,7,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,9,6,5,4,3,8,1,7]=>01111010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,10,7,6,5,4,3,2,9,8]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [9,1,7,6,5,4,3,10,8,2]=>101111011=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [3,8,7,6,5,4,10,1,9,2]=>011110101=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [8,7,1,5,4,3,9,6,2]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [1,3,6,5,4,9,8,7,2]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [4,7,6,5,9,3,1,8,2]=>01101101=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,6,5,1,3,8,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,6,3,4,8,7,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,5,8,3,7,6,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,8,5,4,1,2,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,5,2,3,7,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,9,6,1,4,3,2,8,5]=>01101101=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [6,8,2,4,3,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,4,7,2,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,9,2,5,4,3,8,7,6]=>01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [8,10,1,6,5,4,3,2,9,7]=>010111101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [7,5,8,4,3,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,5,7,3,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,9,6,5,4,8,2,1,7]=>01110110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [2,10,7,6,5,4,3,9,1,8]=>011111010=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [5,1,7,6,8,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,8,5,2,7,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,8,6,7,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,7,5,2,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,8,2,1,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,8,1,2,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,6,5,2,1,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,6,5,2,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,7,5,6,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,1,8,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,8,7,4,2,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,6,7,4,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,2,4,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,3,6,4,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,5,3,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,1,4,6,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,1,2,4,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,6,8,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,8,1,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,8,5,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,7,2,4,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,8,6,5,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,8,2,5,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,7,4,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,7,5,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,6,2,3,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,1,2,5,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,8,7,3,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,7,4,2,5,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,3,8,2,5,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,1,5,8,2,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,8,7,3,6,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,5,8,7,4,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,5,6,7,4,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,3,2,8,5,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,7,1,8,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,2,8,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,8,7,3,5,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,3,1,5,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,7,2,8,5,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,4,8,5,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,4,8,5,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,8,5,2,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,7,4,5,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,3,6,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,6,4,7,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,8,2,6,4,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,5,8,7,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,1,5,8,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,2,7,6,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,8,4,7,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,8,7,5,2,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,4,8,6,5,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,6,4,7,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,4,1,2,3,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,6,4,8,5,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,8,4,2,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,5,8,4,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,7,1,5,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,7,5,6,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,4,8,7,3,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,8,4,3,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,8,1,3,5,6,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,3,4,1,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,2,7,3,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,8,7,2,5,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,7,2,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,3,7,1,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,8,7,1,3,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,6,7,3,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,2,7,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,2,1,3,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,2,4,3,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,7,1,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,7,3,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,1,3,2,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,6,2,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,5,2,8,3,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,7,5,1,8,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,5,2,7,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,2,5,4,3,8,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,8,1,4,5,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,1,2,4,5,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,6,2,4,5,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,1,2,5,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,6,2,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,6,5,8,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,6,2,5,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,6,1,4,5,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,6,8,4,5,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,5,4,3,8,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,8,7,4,2,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,4,3,7,6,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,4,3,1,6,2,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,7,4,3,8,6,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,5,3,4,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,1,7,4,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,5,7,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,6,8,2,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,7,4,3,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,4,3,1,6,7,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,8,6,3,4,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,8,6,3,4,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,8,5,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,8,4,3,1,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,6,5,2,8,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,1,3,6,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,2,3,6,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,3,2,5,6,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,3,1,5,6,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,3,2,5,6,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,1,5,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,8,3,5,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,8,2,3,6,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,2,7,8,6,4,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,1,8,2,4,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,8,1,2,4,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,8,1,2,3,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,2,7,1,8,6,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,1,2,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,8,2,3,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,3,6,7,4,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,1,6,8,4,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,7,1,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,3,2,8,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,1,4,3,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,1,8,6,3,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,3,6,2,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,1,7,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,6,5,8,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,3,5,8,2,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,8,7,3,6,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,2,8,6,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,6,1,4,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,5,4,1,2,7,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,6,1,8,3,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,6,2,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,5,3,8,7,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,3,7,1,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,1,5,8,2,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,8,5,1,2,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,2,4,8,1,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,4,8,2,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,2,5,1,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,5,2,6,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,8,5,6,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,4,8,2,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,5,8,6,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,4,5,1,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,3,7,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,5,8,6,2,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,4,8,5,1,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,8,1,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,1,2,8,3,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,8,4,1,2,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,4,6,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,4,8,7,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,4,8,1,2,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,1,6,2,3,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,1,6,8,2,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,4,1,8,2,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,4,7,1,2,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,7,8,1,3,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,3,7,1,4,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,1,8,4,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,1,4,8,3,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,4,7,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,1,4,8,3,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,3,7,1,4,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,1,5,8,7,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,1,5,3,8,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,5,4,3,7,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,5,4,3,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,1,5,3,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,5,3,2,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,5,4,3,2,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,6,4,2,5,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,3,1,2,7,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,3,8,1,4,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,1,4,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,2,5,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,2,5,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,1,2,5,4,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,3,8,1,4,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,3,1,2,7,8,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,1,4,2,6,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,4,2,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,1,5,3,2,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,1,5,2,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,3,1,5,7,2,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,1,5,3,6,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,5,4,3,6,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,4,3,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,1,5,3,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,1,5,7,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,7,3,8,4,5,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,5,1,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,6,2,3,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,6,1,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,6,3,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,8,4,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,8,6,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,6,5,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,7,1,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,7,3,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,8,2,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,8,4,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,6,5,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,8,6,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,5,1,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,3,1,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,8,1,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,4,1,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,4,5,2,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,4,5,1,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,8,1,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,6,1,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,4,1,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,5,3,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,5,3,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,8,6,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,6,2,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,8,2,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,7,3,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,3,6,4,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,6,4,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,8,4,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,8,4,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,8,2,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,6,3,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,5,6,3,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,5,3,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,5,3,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,5,8,1,4,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,6,7,2,3,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,3,1,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,8,1,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,7,5,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,7,5,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,5,8,1,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,7,5,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,8,4,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,3,1,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,6,1,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,7,1,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,4,3,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,5,4,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,7,3,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,8,2,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,8,2,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,8,6,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,5,1,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,8,1,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,2,5,1,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,8,1,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,6,1,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,1,4,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,3,7,5,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,1,8,3,5,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,2,8,3,5,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,2,3,8,5,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,5,2,6,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,1,5,2,3,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,2,3,1,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,2,3,7,1,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,7,3,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,2,5,1,6,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,1,7,6,3,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,7,2,1,4,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,3,1,4,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,3,1,4,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,7,2,1,4,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,2,1,3,7,6,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,3,1,7,2,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,1,3,7,2,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,1,3,2,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,5,8,4,2,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,8,6,4,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,7,5,1,6,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,5,1,2,3,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,3,5,1,2,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,2,6,5,1,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,6,3,5,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,7,3,1,5,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,7,2,1,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,1,4,2,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,3,1,2,6,4,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,3,1,2,4,6,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,3,2,1,4,7,6,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,3,2,1,7,4,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,2,7,1,5,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,7,2,1,5,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,1,6,3,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,5,4,1,2,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,5,6,7,4,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,5,8,6,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,7,8,6,3,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,5,7,6,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,2,1,5,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,1,5,3,4,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,1,3,7,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,2,3,6,1,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,4,2,8,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,6,8,5,7,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,2,7,3,8,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,6,7,5,3,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,5,8,7,6,3,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,4,7,6,3,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,7,8,5,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,1,3,7,6,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,1,6,3,2,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,1,5,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,8,4,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,6,1,3,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,6,7,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,3,8,2,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,5,8,1,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,2,7,8,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,5,1,6,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,8,5,7,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,1,4,6,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,2,5,6,1,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,8,7,5,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,7,3,5,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,4,2,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,7,1,6,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,7,2,8,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,8,6,5,2,1,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,7,6,1,4,5,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,8,2,1,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,3,5,1,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,6,3,5,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,5,8,4,3,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,7,1,5,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,6,5,8,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,8,5,4,3,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,8,5,6,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,4,8,7,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,4,3,5,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,7,6,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,2,7,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,1,2,6,7,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,4,3,2,7,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,8,6,3,2,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,4,7,2,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,4,3,7,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,2,4,5,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,4,2,3,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,2,4,3,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,3,1,6,4,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,1,3,4,7,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,8,2,6,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,7,3,5,4,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,3,8,4,5,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,8,3,4,5,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,8,2,6,4,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,7,2,3,6,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,3,5,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,2,4,5,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,3,8,4,6,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,2,3,5,4,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,8,2,3,6,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,7,8,2,3,5,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,8,2,5,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,2,4,5,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,8,3,6,4,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,2,3,6,4,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,8,3,5,4,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,7,8,3,6,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,2,7,8,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,8,4,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,2,3,4,6,7,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,8,2,4,3,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,1,5,2,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,3,1,5,2,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,1,5,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,5,1,2,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,5,1,2,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,6,5,3,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,6,1,5,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,5,1,2,3,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,5,4,1,2,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,6,4,1,7,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,4,1,8,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,7,4,1,8,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,7,4,1,2,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,7,5,1,2,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,1,7,5,3,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,8,1,5,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,5,1,2,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,8,4,1,2,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,8,4,1,7,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,5,7,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,8,6,7,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,8,6,1,7,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,1,6,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,8,6,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,1,7,6,8,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,6,1,8,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,7,6,8,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,5,8,1,2,3]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,6,5,7,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,5,6,7,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,6,8,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,5,7,8,1,2,3]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,4,6,1,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,6,1,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,1,6,7,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,1,6,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,3,1,7,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,1,4,3,8,7,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,3,1,7,6,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,4,8,1,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,1,6,8,7,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,6,8,1,7,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,8,7,1,2,3]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,5,8,6,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,5,7,6,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,6,7,5,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,6,8,5,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,7,8,5,1,2,3]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,7,8,6,1,2,3]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,7,8,1,6,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,1,8,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,7,8,6,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,1,7,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,7,1,6,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,8,7,5,1,2,3]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,7,8,6,5,1,2,3]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,7,6,5,1,2,3]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,5,4,7,3,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,6,3,7,5,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,7,3,6,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,3,1,5,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,3,1,6,4,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,7,6,4,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,5,3,7,4,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,7,6,3,5,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,5,3,6,4,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,3,7,5,4,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,2,3,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,7,5,4,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,1,8,6,5,4,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,3,1,8,6,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,8,3,1,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,6,4,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,8,2,1,4,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,2,8,3,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,6,3,8,7,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,3,6,4,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,6,3,4,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,3,8,7,5,4,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,3,8,6,4,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,3,7,4,8,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,7,6,3,8,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,3,6,4,8,7,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,3,7,6,4,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,3,1,8,5,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,3,8,5,4,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,8,4,2,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,8,4,3,5,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,6,3,1,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,8,3,1,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,8,2,4,1,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,4,8,3,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,8,3,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,7,4,2,3,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,2,8,7,3,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,3,6,4,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,6,3,7,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,3,8,6,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,3,8,4,7,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,7,3,4,8,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,6,3,8,4,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,2,3,8,7,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,1,8,3,7,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,2,1,7,4,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,8,4,2,7,3,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,6,3,4,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,7,3,8,4,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,3,8,7,4,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,3,8,7,6,4,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,3,8,1,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,7,1,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,7,1,4,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,7,1,2,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,7,2,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,8,6,2,5,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,8,6,1,2,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,5,7,1,4,8,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,1,5,7,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,3,8,1,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,1,7,5,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,1,6,5,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,8,1,3,5,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,7,6,1,2,4,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,7,6,2,4,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,6,7,2,3,5,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,7,1,2,3,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,6,7,1,3,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,6,1,5,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,5,7,1,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,8,5,6,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,7,2,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,8,6,2,1,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,5,7,6,2,1,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,6,7,2,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,6,7,3,5,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,7,3,4,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,7,2,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,6,7,2,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,7,2,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,1,7,5,2,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,2,8,5,1,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,8,5,1,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,6,7,1,5,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,7,1,4,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,7,2,3,4,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,6,7,2,4,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,7,1,2,4,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,3,8,5,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,8,5,1,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,2,8,5,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,8,6,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,7,6,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,6,7,1,3,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,7,1,2,5,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,7,2,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,5,2,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,5,1,2,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,6,7,5,1,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,5,7,1,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,1,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,8,4,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,7,4,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,2,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,3,8,5,2,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,2,6,7,5,3,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,6,7,5,3,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,6,7,3,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,7,3,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,5,7,6,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,1,7,5,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,5,2,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,6,7,5,2,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,6,7,2,3,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,6,7,3,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,7,4,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,7,4,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,6,7,4,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,7,3,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,7,3,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,7,5,3,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,7,5,3,2,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,8,5,3,1,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,1,6,7,5,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,6,7,3,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,6,7,4,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,6,7,4,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,5,8,1,4,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,6,1,4,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,3,6,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,7,8,5,6,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,7,1,5,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,1,4,7,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,8,4,7,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,1,3,5,7,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,1,4,3,8,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,6,5,4,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,3,7,5,8,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,7,3,8,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,6,3,5,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,6,5,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,7,6,5,3,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,2,6,7,5,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,8,1,6,7,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,1,6,8,2,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,8,6,2,7,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,3,2,7,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,6,2,5,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,2,6,8,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,6,4,5,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,8,6,2,1,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,4,1,6,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,2,4,5,1,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,6,4,5,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,4,6,5,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,1,7,5,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,8,6,1,2,4,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,8,7,3,1,4,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,4,3,6,8,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,5,4,6,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,2,1,3,7,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,1,2,7,5,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,8,3,6,7,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,7,4,5,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,8,5,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,8,2,7,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,7,3,6,5,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,6,3,4,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,2,6,3,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,5,8,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,8,4,3,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,5,4,3,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,8,1,4,7,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,4,5,6,1,2,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,3,5,7,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,8,7,1,3,4,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,7,2,4,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,2,7,4,3,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,5,6,4,3,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,6,5,4,3,2,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,1,5,2,8,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,1,8,5,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,2,8,5,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,7,2,8,5,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,5,8,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,8,6,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,8,1,5,7,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,6,5,8,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,5,7,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,2,5,8,6,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,2,5,8,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,8,2,3,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,1,2,3,5,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,1,5,8,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,7,1,8,5,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,5,8,3,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,1,8,5,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,2,1,3,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,7,6,8,3,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,6,8,2,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,2,1,6,8,5,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,7,4,1,8,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,4,3,1,8,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,7,4,1,6,8,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,7,6,8,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,6,8,5,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,2,5,8,6,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,7,6,8,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,6,8,1,2,5,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,7,6,8,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,2,6,8,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,2,6,8,5,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,1,4,2,8,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,5,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,4,6,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,8,1,6,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,8,5,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,2,6,8,5,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,2,6,8,5,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,6,8,3,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,3,1,2,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,5,8,6,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,5,8,6,3,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,7,1,8,5,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,2,6,8,5,4,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,8,2,3,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,6,8,3,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,6,8,5,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,3,1,8,5,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,1,8,5,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,2,1,6,8,5,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,8,3,2,1,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,7,8,5,6,1,3,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,8,7,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,4,8,1,2,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,6,7,2,4,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,5,1,8,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,7,1,2,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,6,7,2,1,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,6,7,1,4,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,6,7,3,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,3,6,7,4,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,1,6,8,4,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,6,7,1,4,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,6,7,3,1,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,1,5,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,1,5,4,8,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,4,5,3,7,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,1,5,4,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,4,1,5,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,4,2,1,8,6,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,5,2,7,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,3,8,1,4,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,2,4,5,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,1,2,4,5,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,7,8,2,3,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,8,1,4,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,2,1,3,7,8,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,1,3,2,6,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,3,2,5,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,1,3,5,2,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,3,1,6,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,4,5,6,2,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,4,3,5,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,3,1,5,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,4,2,1,6,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,4,2,1,5,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,3,4,8,7,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,3,4,7,8,1,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,8,3,4,6,2,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,3,6,4,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,3,5,6,2,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,3,8,7,5,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,3,7,8,5,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,6,3,8,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,2,5,8,7,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,2,8,4,7,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,8,7,5,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,3,7,8,5,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,4,1,7,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,7,4,8,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,5,7,8,1,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,2,3,6,1,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,3,6,1,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,5,8,3,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,6,8,3,2,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,6,8,5,3,2,1,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,6,1,4,2,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,8,4,3,7,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,1,4,2,3,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,3,4,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,8,6,3,2,1,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,5,8,3,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,5,6,3,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,3,4,5,8,1,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,4,3,6,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,3,7,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,3,8,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,4,1,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,2,4,1,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,4,1,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,4,2,8,7,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,4,2,7,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,2,4,1,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,7,4,1,6,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,1,3,7,2,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,4,3,6,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,4,3,7,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,1,4,2,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,3,4,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,6,5,3,2,1,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,8,5,6,3,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,7,8,3,2,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,8,7,3,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,6,8,7,3,2,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,7,8,3,2,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,7,6,8,3,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,8,5,3,2,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,7,1,3,4,2,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,8,4,2,3,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,1,7,4,2,3,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,1,3,4,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,7,5,3,2,1,6]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,7,8,6,3,2,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,8,7,6,3,2,1,5]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,8,2,6,3,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,2,3,6,7,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,3,1,6,7,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,8,1,6,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,8,7,3,5,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,7,2,5,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,4,3,7,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,1,4,7,2,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,7,4,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,1,2,4,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,7,1,3,4,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,6,3,1,2,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,4,7,3,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,2,7,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,3,7,5,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,8,2,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,2,8,1,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,3,8,2,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,3,7,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,7,3,5,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,1,5,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,8,1,5,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,8,1,6,2,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,8,7,2,5,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,2,7,5,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,8,3,6,5,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,4,3,8,6,5,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,2,1,8,6,5,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,1,8,2,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,7,8,4,1,2,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,1,7,8,5,3,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,2,8,3,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,3,2,8,6,5,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,3,1,8,6,5,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,8,4,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,1,8,5,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,8,7,4,3,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,7,8,6,2,4,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,2,6,4,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,3,8,1,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,1,8,2,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,7,8,5,3,2,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,3,7,8,5,2,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,2,8,4,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,6,3,1,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,8,4,7,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,6,3,1,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,3,6,8,4,2,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,2,8,3,5,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,3,8,4,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,4,8,2,6,5,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,4,8,1,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,6,2,4,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,2,6,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,8,3,6,1,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,8,7,4,3,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,1,8,5,2,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,8,4,6,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,3,1,8,6,5,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,4,2,8,6,5,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,2,4,8,6,5,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,1,4,8,6,5,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,2,4,8,6,5,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,4,2,8,6,5,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,4,8,2,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,8,5,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,4,8,5,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,2,8,3,5,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,4,8,6,5,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,4,8,6,5,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,3,4,8,6,5,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,8,3,6,2,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,8,2,6,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,5,8,2,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,8,7,2,4,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,4,5,7,3,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,5,7,3,8,1,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,4,5,8,3,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,1,2,5,6,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,3,5,2,6,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,6,3,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,5,1,8,4,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,5,8,4,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,5,8,3,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,4,8,1,3,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,4,3,8,2,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,4,3,7,2,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,4,3,7,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,8,3,7,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,3,2,8,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,6,2,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,4,3,7,2,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,8,5,3,1,2,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,3,4,1,2,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,4,7,6,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,7,4,3,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,8,1,6,7,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,8,3,6,1,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,6,7,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,6,4,7,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,2,7,4,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,2,1,4,3,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,1,3,4,2,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,7,3,2,6,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,7,3,2,5,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,6,8,5,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,2,3,6,7,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,2,3,1,6,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,7,2,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,5,2,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,4,1,8,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,6,1,7,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,6,3,8,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,7,2,3,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,8,7,4,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,7,4,1,6,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,2,1,7,8,4,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,1,8,4,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,3,7,5,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,3,7,4,2,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,3,7,6,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,5,2,7,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,8,7,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,2,8,1,6,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,8,7,2,6,5,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,7,8,6,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,4,7,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,8,7,3,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,1,6,3,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,3,1,7,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,1,6,7,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,1,5,7,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,8,2,6,1,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,5,6,4,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,6,7,5,2,4,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,6,8,1,5,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,8,5,6,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,8,1,6,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,8,2,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,7,3,8,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,1,7,6,5,4,3]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,1,4,7,6,5,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,7,5,1,4,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,6,5,4,1,3,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,4,3,2,1,6,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,4,7,3,2,1,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,4,7,3,2,1,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,3,7,2,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,3,6,2,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,7,8,2,1,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,7,6,2,1,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,7,6,2,1,4,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,4,2,6,1,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,7,2,5,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,3,2,6,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,3,2,5,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,2,5,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,7,2,5,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,2,7,5,1,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,2,7,5,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,6,7,1,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,2,6,5,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,7,8,5,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,7,6,8,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,6,5,1,3,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,7,6,5,1,3,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,4,3,1,7,8,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,4,7,3,1,5,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,7,3,1,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,7,1,5,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,3,6,1,8,7,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,7,8,1,4,5,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,7,6,1,4,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,7,6,1,5,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,6,1,4,5,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,4,2,1,7,3,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,4,7,2,1,5,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,2,1,5,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,3,2,1,4,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,3,2,1,5,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,7,2,1,4,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,2,1,4,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,2,7,1,4,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,2,6,1,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,2,7,1,5,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,2,6,1,8,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,2,6,1,5,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,7,8,1,4,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,6,1,5,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,6,1,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,4,1,8,7,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,8,4,1,6,7,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,7,1,5,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,7,1,6,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,7,1,5,6,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,3,1,6,8,7,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,8,3,1,5,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,7,1,5,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,1,6,4,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,2,1,5,4,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,2,1,6,4,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,2,1,5,4,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,7,1,5,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,1,6,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,1,5,6,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,1,5,4,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,1,5,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,1,7,8,4,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,8,1,6,7,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,1,7,5,8,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,1,6,7,8,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,1,6,5,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,7,5,4,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,1,6,7,4,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,6,5,7,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,1,6,5,4,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,6,7,4,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,6,5,7,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,1,6,5,4,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,7,8,5,4,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,1,7,6,5,8,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,7,6,5,4,8,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,8,1,2,6,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,7,2,6,3,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,3,5,6,2,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,3,5,7,2,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,8,1,7,2,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,5,6,8,1,7,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,5,8,2,6,7,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,3,5,6,7,1,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,2,3,5,4,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,3,5,4,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,7,8,1,3,5,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,8,3,5,6,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,7,8,1,6,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,5,8,1,7,6,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,8,7,2,1,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,3,5,6,2,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,2,1,3,5,4,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,8,7,2,1,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,4,1,7,5,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,4,3,1,8,5,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,3,6,7,8,1,5,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,8,1,2,5,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,6,7,2,5,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,1,8,5,2,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,4,2,8,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,5,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,5,4,2,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,2,6,5,4,3,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,3,2,5,4,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,3,1,2,5,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,7,6,3,2,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,5,7,6,3,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,8,1,7,5,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,6,7,5,4,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,8,6,3,1,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,8,1,6,5,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,1,8,6,5,4,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,2,1,6,5,4,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,7,6,3,2,1,5,4]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [2,1,8,6,3,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,1,5,2,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,1,7,4,2,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,7,5,4,3,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,7,8,3,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,8,5,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,3,1,6,2,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,1,5,2,3,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,7,5,2,6,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,4,6,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,3,7,6,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,3,8,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,1,7,6,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,2,4,1,7,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,1,5,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,1,4,6,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,3,1,4,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,1,4,5,3,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,6,1,4,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,6,1,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,5,4,1,2,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,3,6,5,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,4,3,6,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,2,8,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,3,5,8,1,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,4,7,1,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,6,1,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,4,5,7,6,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,4,5,6,8,1,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,6,8,1,4,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,8,4,6,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,7,8,6,2,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,5,7,8,6,1,2,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,1,6,8,2,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,6,8,2,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,5,6,8,1,7,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,6,4,8,2,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,3,8,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,6,8,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,2,6,8,3,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,1,8,6,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,2,7,8,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,7,5,2,8,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,7,5,2,8,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,7,5,1,8,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,2,8,6,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,8,6,2,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,1,7,8,6,3,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,3,7,8,6,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,2,7,8,4,6,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,7,8,6,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,7,5,1,8,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,7,5,8,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,7,5,4,1,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,5,2,4,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,5,3,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,5,2,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,8,6,4,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,5,7,8,6,3,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,1,7,8,6,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,7,5,1,8,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,7,5,3,8,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,5,4,2,8,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,5,1,4,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,6,4,1,2,3]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,1,7,2,6,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,7,1,5,6,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,4,1,5,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,4,5,2,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,7,5,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,1,7,5,8,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,3,7,8,6,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,5,4,2,1,8,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,3,2,7,5,8,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,4,2,5,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,4,5,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,7,5,8,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,6,3,2,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,1,6,3,8,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,1,6,3,8,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,6,1,3,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,1,3,8,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,1,8,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,1,8,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,1,8,6,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,7,1,5,8,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,7,4,1,8,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,6,7,3,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,7,4,1,8,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,7,1,5,8,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,5,1,8,4,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,5,1,8,4,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,5,4,8,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,5,4,8,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,1,5,8,7,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,1,5,8,7,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,1,5,8,2,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,1,6,2,8,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,1,6,2,8,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,1,5,8,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,1,5,8,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,4,7,8,1,6,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,8,5,4,3,2,7,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,9,6,5,4,3,2,8,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,9,6,5,4,3,2,1,7]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [6,8,5,4,3,7,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,4,3,2,1,7,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,4,3,1,8,7,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,6,5,4,3,9,1,2]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,7,5,4,3,1,6,2]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [9,7,6,5,4,3,1,8,2]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [11,10,9,8,7,6,5,4,3,1,2]=>1111111110=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [8,3,4,6,2,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,6,2,1,8,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,2,6,8,4,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,3,2,8,4,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,3,2,8,4,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,7,3,8,6,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,5,6,8,3,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,8,1,5,6,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,1,8,4,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,6,8,1,4,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,8,1,3,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,5,6,8,3,2,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,5,6,3,8,2,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,3,7,2,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,3,2,8,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,7,3,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,8,4,5,3,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,7,3,8,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,1,7,4,3,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,4,1,8,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,7,1,4,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,3,1,7,8,5,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,1,7,3,8,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,3,7,8,4,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,1,6,3,7,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,1,3,7,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,1,7,8,3,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,7,4,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,2,4,1,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,2,1,4,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,3,1,2,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,3,1,2,7,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,1,3,2,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,2,1,7,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,6,3,7,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,6,3,1,7,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,4,7,3,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,2,8,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,2,8,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,7,1,8,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,2,1,8,4,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,3,8,4,2,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,2,1,3,8,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,7,8,6,4,2,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,3,8,4,6,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,8,2,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,8,5,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,2,7,8,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,2,1,7,8,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,5,8,1,2,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,1,7,3,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,2,1,3,8,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,6,7,8,2,4,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,7,1,8,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,7,3,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,7,1,8,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,1,7,8,5,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,1,3,6,8,2,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,2,3,6,8,1,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,2,1,8,4,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,5,8,2,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,1,3,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,6,4,5,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,5,8,1,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,2,4,5,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,2,1,6,8,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,4,5,8,1,3,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,4,6,5,8,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,3,4,5,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,1,8,5,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,1,7,6,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,4,2,7,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,2,8,7,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,1,7,5,3,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,6,4,5,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,7,4,1,2,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,4,6,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,2,5,8,6,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,5,6,8,7,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,4,8,6,7,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,6,2,8,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,8,2,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,5,8,6,7,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,5,6,8,7,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,8,5,6,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,8,3,5,6,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,2,3,7,1,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,6,4,8,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,1,6,7,3,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,8,5,4,1,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,7,5,3,8,4,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,5,3,1,2,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,4,8,5,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,3,1,2,7,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,2,7,4,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,2,3,7,1,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,8,4,7,1,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,4,6,7,1,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,2,3,6,7,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,2,7,6,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,2,5,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,3,2,1,6,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,3,4,6,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,2,7,4,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,2,8,7,6,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,6,5,8,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,7,1,6,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,8,7,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,2,1,8,5,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,5,4,1,8,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,2,5,6,8,7,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,4,2,5,6,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,4,1,5,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,8,5,6,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,4,7,1,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,7,1,8,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,4,1,3,2,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,1,3,6,5,2,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,4,3,6,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,5,2,1,8,7,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,2,4,6,5,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,1,6,5,3,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,1,2,6,5,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,4,2,1,5,3,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,6,4,1,5,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,6,3,4,5,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,4,8,5,7,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,4,7,6,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,4,7,5,8,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,2,4,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,5,1,3,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,1,6,5,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,7,6,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,5,1,4,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,1,5,8,6,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,5,8,6,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,3,8,4,7,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,2,1,6,8,7,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,8,4,3,2,7,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,7,8,2,1,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,1,3,2,8,6,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,2,8,6,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,3,1,6,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,1,8,6,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,1,3,6,8,7,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,4,7,3,8,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,2,7,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,3,6,4,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,1,7,8,4,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,4,5,8,3,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,4,3,7,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,7,2,1,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,7,8,3,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,8,7,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,3,8,7,4,1,2,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,7,2,4,8,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,2,3,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,1,3,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,2,1,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,2,1,3,7,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,4,1,3,2,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,4,2,3,1,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,7,2,6,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,3,8,5,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,2,6,7,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,5,3,6,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,1,5,4,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,7,4,6,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,6,4,5,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,2,4,6,5,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,7,6,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,6,1,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,8,7,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,7,8,4,1,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,8,1,5,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,5,2,6,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,5,1,6,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,8,5,1,6,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,5,2,6,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,1,8,5,4,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,2,1,3,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,4,1,5,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,5,8,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,3,5,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,1,8,6,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,4,5,6,7,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,5,6,8,2,1,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,4,5,7,1,8,6,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,5,7,8,2,6,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,4,6,2,8,5,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,6,8,1,5,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,7,2,1,8,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,7,8,1,5,6,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,8,2,1,5,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,2,6,7,8,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,2,7,8,4,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,8,4,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,6,2,8,4,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,8,4,1,2,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,7,2,4,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,2,8,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,8,4,1,6,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,2,1,7,8,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,2,1,8,5,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,7,2,4,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,7,2,8,5,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,7,8,4,5,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,8,2,4,5,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,2,1,4,8,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,2,1,8,5,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,2,8,4,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,2,4,5,6,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,2,1,4,5,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,1,5,6,7,8,3,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,1,5,7,3,8,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,6,3,7,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,6,3,8,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,6,7,3,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,6,7,8,5,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,6,8,3,5,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,7,3,2,8,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,7,8,3,5,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,8,3,2,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,2,6,7,8,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,2,6,8,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,6,3,8,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,6,8,3,1,2,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,7,3,8,1,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,3,2,1,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,6,2,3,7,8,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,2,3,8,5,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,7,3,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,7,8,5,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,7,3,2,8,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,8,3,2,5,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,2,3,1,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,8,3,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,8,3,2,5,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,2,3,1,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,2,6,8,4,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,7,4,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,2,7,8,4,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,8,4,3,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,6,3,8,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,7,4,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,7,8,4,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,8,3,4,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,3,8,4,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,7,8,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,8,3,4,2,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,2,3,4,8,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,2,3,8,4,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,3,4,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,2,3,4,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,2,3,7,8,5,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,1,2,3,8,5,4,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,2,7,8,5,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,1,2,8,4,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,7,3,4,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,7,3,8,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,7,8,4,5,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,8,3,4,5,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,3,8,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,2,8,4,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,2,3,4,5,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,2,3,4,8,6,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,2,8,4,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,8,3,4,5,6,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,1,8,2,3,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,1,2,4,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,5,7,2,6,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,8,6,1,2,4,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,1,6,8,2,4,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,2,8,1,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,3,8,4,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,2,3,4,6,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,5,1,3,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,5,7,4,6,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,3,7,6,4,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,5,1,3,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,7,5,3,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,6,5,4,7,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,5,2,4,8,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,2,5,3,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,6,3,2,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,1,5,3,2,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,5,3,2,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,5,1,2,4,8,3,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,1,6,4,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,1,2,5,6,3,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,3,6,5,2,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,3,7,2,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,2,6,5,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,4,2,5,6,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,4,5,6,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,3,6,5,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,9,8,6,5,4,3,2,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [6,9,8,7,5,4,3,2,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [5,9,8,7,6,4,3,2,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [4,9,8,7,6,5,3,2,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [3,9,8,7,6,5,4,2,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [2,9,8,7,6,5,4,3,1]=>01111111=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,10,9,7,6,5,4,3,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [6,9,7,8,5,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [7,10,9,8,6,5,4,3,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [4,8,6,5,7,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,9,8,6,7,4,3,2,1]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [6,10,9,8,7,5,4,3,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [3,8,7,5,4,6,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,5,6,7,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,9,8,7,5,6,3,2,1]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,10,9,8,7,6,4,3,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [2,8,7,6,4,3,5,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,8,7,4,5,6,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,9,8,7,6,4,5,2,1]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [4,10,9,8,7,6,5,3,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,8,7,6,5,3,2,4]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,8,7,6,3,4,5,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,9,8,7,6,5,3,4,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,10,9,8,7,6,5,4,2,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [1,8,7,6,5,2,3,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,9,8,7,6,5,4,2,3]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,10,9,8,7,6,5,4,3,1]=>011111111=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [7,2,8,6,5,4,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,2,8,5,4,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,8,5,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,2,5,6,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,4,3,1,7,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,6,4,1,3,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,6,1,5,3,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,8,5,2,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,8,6,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,5,4,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,5,8,3,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,6,3,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,8,5,3,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,3,8,5,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,2,6,4,8,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,4,2,6,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,3,1,7,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,4,1,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,4,7,2,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,3,4,5,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,2,5,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,2,1,5,4,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,7,1,5,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,1,8,4,3,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,5,4,8,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,6,5,8,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,5,4,6,8,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,3,4,5,8,2,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,3,4,1,5,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,4,2,6,8,3,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,6,4,1,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,4,5,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,1,8,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,3,2,5,4,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,1,5,3,4,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,1,5,8,7,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,6,4,5,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,8,1,2,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,7,2,3,5,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,4,1,3,5,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,7,8,6,2,5,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,3,5,7,8,6,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,1,8,4,7,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,1,8,4,7,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,7,4,6,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,3,2,8,1,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,1,4,7,2,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,3,6,1,5,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,6,8,2,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,7,3,8,5,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,1,5,7,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,2,5,4,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,3,4,2,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,7,4,2,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,3,2,4,1,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,4,7,1,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,3,6,7,8,2,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,6,3,2,5,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,1,5,6,2,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,6,1,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,5,2,8,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,4,8,7,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,6,4,5,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,3,6,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,1,7,5,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,4,1,8,7,6,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,2,6,5,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,1,4,2,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,7,1,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,8,2,5,6,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,2,4,5,6,7,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,4,1,6,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,5,7,6,1,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,6,1,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,1,7,6,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,4,6,5,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,7,3,5,6,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,7,5,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,5,8,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,2,6,8,5,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,2,4,8,7,6,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,6,4,8,7,5,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,7,4,8,6,5,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,2,7,5,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,8,5,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,4,8,7,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,6,4,8,7,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,8,5,6,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,8,2,6,7,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,7,8,2,5,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,7,8,2,3,6,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,2,7,8,4,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,2,4,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,7,3,4,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,3,7,4,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,4,1,5,3,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,1,5,7,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,8,4,2,7,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,8,4,7,3,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,4,8,3,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,6,4,8,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,2,4,8,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,5,2,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,8,6,2,7,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,8,6,7,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,6,8,5,3,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,7,8,6,3,5,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,6,7,8,5,2,3,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,7,8,6,2,3,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,7,6,8,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,7,6,2,8,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,7,4,1,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,5,8,7,6,3,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,6,8,7,5,3,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,7,8,6,5,3,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,2,6,7,3,4,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,4,7,6,3,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,1,7,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,1,4,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,1,4,5,8,7,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,2,7,6,3,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,7,6,4,5,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,1,7,5,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,7,4,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,2,7,8,4,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,1,7,4,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,4,1,7,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,1,3,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,4,1,5,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,1,5,4,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,4,7,8,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,2,4,8,6,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,4,8,7,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,4,8,7,6,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,3,8,5,4,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,1,2,8,5,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,5,3,8,6,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,3,8,5,6,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,8,6,4,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,3,8,6,5,4,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,3,8,5,4,6,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,1,5,4,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,2,4,8,6,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,4,8,3,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,3,1,4,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,3,1,8,6,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,6,3,1,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,4,5,1,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,4,1,8,7,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,6,1,7,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,6,2,8,7,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,3,7,8,6,4,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,3,7,8,5,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,4,1,7,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,2,8,6,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,4,2,8,6,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,3,6,8,5,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,3,8,6,7,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,8,7,5,4,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,3,8,7,4,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,3,8,5,7,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,3,6,8,7,4,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,1,2,8,7,6,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,1,6,2,8,7,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,4,5,9,6,7,8]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,9,5,6,7,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,3,9,4,5,6,7,8]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,9,3,4,5,6,7,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,5,6,7,10,8,9]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,2,3,4,5,9,7,6,8]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [1,2,3,4,5,6,10,7,8,9]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,2,3,4,9,6,5,7,8]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [1,2,3,4,5,10,6,7,8,9]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,2,8,4,5,3,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,3,9,5,4,6,7,8]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [1,2,3,4,10,5,6,7,8,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [1,8,3,4,2,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,9,4,3,5,6,7,8]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [1,2,3,10,4,5,6,7,8,9]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,8,4,3,2,5,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,9,3,2,4,5,6,7,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [1,2,10,3,4,5,6,7,8,9]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,4,7,6,5,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,4,7,5,6,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,7,4,6,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,3,5,4,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,6,7,3,5,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,7,3,6,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,7,4,6,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,7,3,6,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,7,3,6,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,7,2,6,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,7,2,6,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,7,2,5,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,2,5,4,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,4,7,1,6,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,7,1,6,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,7,1,6,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,7,2,6,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,2,5,3,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,7,6,5,3,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,7,6,5,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,7,6,5,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,7,6,4,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,7,5,4,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,7,6,4,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,7,6,5,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,6,4,5,1,3,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,2,5,1,4,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,1,5,2,4,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,1,3,2,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,1,4,2,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,6,1,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,5,3,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,5,1,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,4,3,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,4,3,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,5,1,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,5,3,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,5,4,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,4,7,6,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,3,7,6,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,4,3,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,4,3,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,8,1,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,5,3,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,7,4,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,7,5,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,3,6,4,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,6,4,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,2,6,3,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,5,3,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,5,2,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,7,1,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,7,1,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,3,2,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,7,1,3,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,7,1,3,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,7,1,3,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,6,8,2,4,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,6,8,1,3,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,8,1,3,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,3,2,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,4,2,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,8,1,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,6,8,1,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,6,8,2,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,6,8,2,5,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,8,3,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,8,2,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,8,2,6,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,8,2,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,8,1,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,5,2,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,6,1,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,6,5,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,6,5,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,5,8,4,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,8,4,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,8,3,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,7,1,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,4,2,8,5,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,4,3,8,2,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,4,8,5,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,4,3,7,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,4,3,5,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,3,5,4,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,3,7,5,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,3,5,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,3,5,8,2,4,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,5,2,4,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,4,2,5,1,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,2,8,4,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,3,8,2,4,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,4,8,2,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,3,7,4,5,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,3,5,8,4,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,8,3,6,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,3,6,7,2,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,4,8,7,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,8,4,7,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,4,1,7,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,7,4,1,5,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,4,7,5,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,5,7,8,4,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,7,3,6,8,2,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,8,3,7,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,7,3,4,1,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,8,3,5,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,8,3,5,7,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,3,5,6,8,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,3,5,8,2,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,4,7,8,2,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,8,2,4,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,4,8,2,6,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,6,2,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,5,7,2,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,5,6,7,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,8,3,5,6,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,8,3,6,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,6,7,2,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,7,2,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,4,8,2,7,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,2,4,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,4,1,7,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,5,1,8,7,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,3,5,8,2,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,5,8,7,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,3,7,2,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,4,8,2,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,2,3,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,4,2,3,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,3,8,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,5,3,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,8,5,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,2,8,5,3,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,2,7,3,1,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,7,8,5,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,5,3,7,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,2,3,1,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,3,7,1,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,4,7,1,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,4,8,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,5,7,4,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,5,4,7,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,3,5,7,1,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,2,5,1,7,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,2,4,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,4,7,2,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,6,2,5,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,6,8,2,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,7,3,5,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,7,8,3,6,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,8,3,6,7,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,8,3,7,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,4,6,8,2,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,6,8,2,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,6,7,1,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,4,6,7,1,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,5,7,8,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,7,3,6,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,6,8,3,7,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,7,4,8,6,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,2,6,5,1,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,7,2,8,4,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,9,8,5,4,3,2,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [6,5,4,9,8,7,3,2,1]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [6,8,5,9,7,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,7,8,9,5,4,3,2,1]=>00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [5,4,3,2,9,8,7,6,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,8,4,3,9,7,6,2,1]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [5,4,7,6,9,8,3,2,1]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [5,7,8,4,9,6,3,2,1]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,6,7,8,9,4,3,2,1]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [4,8,3,2,1,9,7,6,5]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,3,7,6,2,9,8,5,1]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [4,7,8,3,2,9,6,5,1]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [4,6,3,8,5,9,7,2,1]=>01010111=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,6,7,8,3,9,5,2,1]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [4,5,6,7,8,9,3,2,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [3,2,1,6,5,4,9,8,7]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,6,2,8,5,1,9,7,4]=>01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [3,6,7,8,2,1,9,5,4]=>00011011=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [3,2,5,4,7,6,9,8,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [3,5,7,2,8,4,9,6,1]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [3,5,6,7,8,2,9,4,1]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [3,4,5,6,7,8,9,2,1]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,4,6,7,1,8,3,9,5]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [2,4,5,6,7,8,1,9,3]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,7,10,9,6,5,4,3,2,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [8,9,10,7,6,5,4,3,2,1]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [7,6,5,10,9,8,4,3,2,1]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [7,9,6,10,8,5,4,3,2,1]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [7,8,9,10,6,5,4,3,2,1]=>000111111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [6,5,4,3,10,9,8,7,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [6,9,5,4,10,8,7,3,2,1]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [6,5,8,7,10,9,4,3,2,1]=>101011111=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [6,8,9,5,10,7,4,3,2,1]=>001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,4,3,2,1,10,9,8,7,6]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,9,4,3,2,10,8,7,6,1]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [5,4,8,7,3,10,9,6,2,1]=>101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [5,8,9,4,3,10,7,6,2,1]=>001101111=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [5,7,4,9,6,10,8,3,2,1]=>010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [5,6,7,8,9,10,4,3,2,1]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [4,3,8,7,2,1,10,9,6,5]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [4,8,9,3,2,1,10,7,6,5]=>001110111=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [4,3,2,7,6,5,10,9,8,1]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [4,7,3,9,6,2,10,8,5,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,7,8,9,3,2,10,6,5,1]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [4,3,6,5,8,7,10,9,2,1]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [4,6,7,8,9,3,10,5,2,1]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [4,5,6,7,8,9,10,3,2,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [3,6,2,1,9,5,4,10,8,7]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,2,6,5,8,7,1,10,9,4]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,6,8,2,9,5,1,10,7,4]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [3,6,7,8,9,2,1,10,5,4]=>000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [3,5,7,8,2,9,4,10,6,1]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [3,5,6,7,8,9,2,10,4,1]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [3,4,5,6,7,8,9,10,2,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [2,4,6,1,8,3,9,5,10,7]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,4,6,7,8,1,9,3,10,5]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,4,5,6,7,8,9,1,10,3]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,6,2,5,3,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,2,4,6,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,3,6,4,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,2,5,3,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,2,5,3,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,2,3,6,4,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,5,2,8,4,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,3,5,4,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,2,7,3,4,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,2,3,7,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,2,3,5,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,1,2,4,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,5,8,4,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,5,7,4,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,4,5,8,2,3,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,1,6,2,8,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,7,2,6,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,7,5,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,5,4,7,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,7,5,8,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,4,8,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,8,5,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,1,7,2,3,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,3,1,2,4,6,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,1,6,4,2,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,1,7,4,2,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,1,8,4,2,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,8,1,2,4,6,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,7,1,2,4,6,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,6,1,2,4,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,7,5,1,2,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,6,1,2,4,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,1,8,4,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,1,7,4,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,5,4,2,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,8,4,5,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,7,8,5,3,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,1,2,4,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,1,2,3,8,7,5,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,1,4,2,3,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,1,2,7,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,1,2,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,1,4,2,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,8,5,7,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,5,4,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,8,5,4,1,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,8,2,1,4,6,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,1,5,8,3,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,5,1,3,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,6,1,8,4,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,6,8,7,4,2,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,8,5,7,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,1,5,8,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,1,6,8,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,1,2,5,7,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,6,2,5,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,6,4,7,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,4,7,2,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,8,4,6,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,4,8,5,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,1,6,5,4,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,3,1,5,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,4,6,8,1,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,5,8,6,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,6,7,5,4,3,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,8,7,1,6,4,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,8,2,7,4,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,2,8,7,4,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,2,7,8,1,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,7,5,6,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,8,1,7,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,8,7,1,4,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,7,3,8,5,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,4,5,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,6,7,4,5,3,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,3,5,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,1,2,5,8,4,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,7,2,8,5,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,8,7,2,4,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,7,1,2,4,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,1,7,5,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,3,7,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,2,1,5,7,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,8,4,1,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,8,6,5,3,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,1,5,6,8,4,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,8,1,4,6,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,5,7,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,8,5,3,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,6,4,8,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,3,4,5,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,3,2,4,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,6,5,2,8,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,6,5,3,4,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,4,2,8,7,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,8,7,5,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,7,4,2,3,5,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,4,5,2,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,3,5,4,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,6,1,2,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,6,3,4,8,7,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,3,6,8,7,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,7,3,5,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,2,6,4,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,4,8,7,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,8,6,1,5,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,6,2,5,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,2,6,8,1,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,2,7,1,4,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,3,6,2,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,7,2,4,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,4,8,6,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,1,3,8,6,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,8,6,3,4,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,8,3,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,3,7,6,4,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,2,4,7,6,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,2,5,3,4,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,6,4,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,4,8,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,3,5,8,2,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,1,3,5,6,7,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,3,1,4,7,5,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,8,2,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,3,6,7,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,7,2,8,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,4,7,2,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,4,7,2,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,3,6,2,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,4,5,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,4,5,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,7,3,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,5,4,3,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,4,1,5,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,6,2,3,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,4,6,3,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,5,6,8,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,2,8,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,4,1,3,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,1,7,4,2,3,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,6,5,1,4,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,4,8,6,5,2,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,1,8,6,5,3,2,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,5,2,7,3,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,5,3,6,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,8,4,3,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,5,2,3,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,2,8,4,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,4,3,6,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,5,1,2,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,6,8,3,4,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,2,4,5,8,3,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,6,8,4,7,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,8,4,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,3,8,4,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,6,5,8,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,7,5,8,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,6,4,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,6,8,3,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,1,2,6,4,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,3,2,7,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,7,2,8,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,1,2,8,4,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,8,3,6,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,7,4,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,5,8,2,7,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,3,6,4,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,6,4,8,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,5,6,4,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,6,2,5,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,6,3,5,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,1,6,4,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,4,2,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,6,3,1,7,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,6,5,2,7,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,6,4,3,8,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,6,3,5,8,7,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,5,1,8,4,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,1,8,5,4,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,4,6,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,7,5,1,8,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,2,5,3,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,5,4,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,7,6,4,8,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,7,3,6,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,6,1,8,5,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,5,4,8,7,6,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,5,8,4,7,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,6,8,5,4,7,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,6,8,5,2,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,7,4,8,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,7,6,8,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,8,3,5,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,6,8,5,2,4,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,6,8,5,4,3,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,5,8,4,3,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,5,8,2,4,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,6,8,2,5,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,6,8,3,2,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,7,4,8,1,2,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,1,7,5,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,7,5,8,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,7,5,6,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,6,5,8,1,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,2,8,1,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,6,8,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,4,6,8,1,2,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,7,5,8,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,6,7,4,8,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,4,7,1,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,6,7,3,8,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,5,7,3,8,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,1,5,7,6,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,6,8,2,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,8,7,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,6,5,8,7,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,6,5,8,7,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,4,6,8,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,7,5,6,8,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,6,7,5,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,2,7,5,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,4,8,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,6,8,3,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,6,8,3,5,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,6,8,2,5,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,5,8,2,7,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,5,8,4,7,6,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,4,8,7,3,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,5,8,7,4,3,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,5,8,7,2,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,7,6,8,5,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,1,2,8,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,7,6,8,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,6,8,5,7,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,5,8,7,4,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,4,8,7,6,3,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,4,5,7,2,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,4,7,2,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,4,6,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,2,7,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,3,4,7,1,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,3,4,5,8,1,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,7,4,5,6,8,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,7,3,6,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,6,2,3,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,2,4,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,2,4,5,8,1,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,2,3,4,8,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,1,2,8,4,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,2,3,7,1,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,1,7,3,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,2,1,8,3,4,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,2,8,4,5,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,2,8,4,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,1,3,8,5,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,3,1,8,4,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,2,7,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,4,7,1,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,2,3,6,1,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,1,7,3,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,3,7,2,4,5,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,6,2,3,4,5,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,7,3,4,5,6,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,2,3,4,5,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,1,7,3,4,5,6,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,1,7,2,4,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,5,7,2,3,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,5,8,2,3,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,8,3,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,8,2,4,5,6,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,8,3,4,5,6,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,8,3,4,5,6,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,5,8,3,6,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,7,1,8,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,7,1,8,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,3,8,5,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,8,4,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,3,6,8,2,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,4,6,8,2,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,8,7,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,5,8,7,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,4,8,7,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,8,7,1,4,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,7,2,4,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,6,1,2,4,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,8,3,7,2,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,1,7,2,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,2,3,5,1,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,8,2,6,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,8,7,1,4,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,1,4,5,6,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,6,1,3,4,5,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,6,1,3,4,5,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,7,6,2,3,4,5,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,8,6,2,3,4,5,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,8,7,3,4,5,6,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,7,2,4,5,6,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,3,6,2,4,5,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,7,2,3,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,6,1,3,4,5,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,6,2,4,7,1,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,7,2,5,1,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,4,8,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,5,3,2,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,6,2,5,7,1,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,8,3,7,5,4,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,3,2,8,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,1,2,8,4,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,3,8,7,4,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,8,1,2,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,10,9,5,6,3,4,1,2]=>001101010=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [9,10,5,6,8,7,3,4,1,2]=>010011010=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [5,8,10,6,9,7,3,4,1,2]=>001011010=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [5,6,7,10,9,8,3,4,1,2]=>000111010=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [9,10,7,8,3,4,6,5,1,2]=>010100110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [7,8,10,9,3,4,6,5,1,2]=>001100110=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [9,10,3,6,8,4,7,5,1,2]=>010010110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [3,8,10,6,9,4,7,5,1,2]=>001010110=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [3,6,7,10,9,4,8,5,1,2]=>000110110=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [9,10,3,4,5,8,7,6,1,2]=>010001110=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [3,8,10,4,5,9,7,6,1,2]=>001001110=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [3,4,7,10,5,9,8,6,1,2]=>000101110=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [3,4,5,6,10,9,8,7,1,2]=>000011110=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [9,10,7,8,5,6,1,2,4,3]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [7,8,10,9,5,6,1,2,4,3]=>001101001=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [9,10,5,6,8,7,1,2,4,3]=>010011001=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [5,8,10,6,9,7,1,2,4,3]=>001011001=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [5,6,7,10,9,8,1,2,4,3]=>000111001=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [9,10,7,8,1,4,6,2,5,3]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,10,9,1,4,6,2,5,3]=>001100101=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [9,10,1,6,8,4,7,2,5,3]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,8,10,6,9,4,7,2,5,3]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,6,7,10,9,4,8,2,5,3]=>000110101=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [9,10,1,4,5,8,7,2,6,3]=>010001101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [1,8,10,4,5,9,7,2,6,3]=>001001101=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [1,4,7,10,5,9,8,2,6,3]=>000101101=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [1,4,5,6,10,9,8,2,7,3]=>000011101=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [9,10,7,8,1,2,3,6,5,4]=>010100011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,8,10,9,1,2,3,6,5,4]=>001100011=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [9,10,1,6,8,2,3,7,5,4]=>010010011=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [1,8,10,6,9,2,3,7,5,4]=>001010011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [1,6,7,10,9,2,3,8,5,4]=>000110011=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [9,10,1,2,5,8,3,7,6,4]=>010001011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [1,8,10,2,5,9,3,7,6,4]=>001001011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [1,2,7,10,5,9,3,8,6,4]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,5,6,10,9,3,8,7,4]=>000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [9,10,1,2,3,4,8,7,6,5]=>010000111=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [1,8,10,2,3,4,9,7,6,5]=>001000111=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [1,2,7,10,3,4,9,8,6,5]=>000100111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [1,2,3,6,10,4,9,8,7,5]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [1,2,3,4,5,10,9,8,7,6]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [3,1,2,4,5,6,7,8,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [2,4,1,3,5,6,7,8,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,5,1,4,6,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,4,6,1,5,7,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,4,5,7,1,6,8,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,4,5,6,8,1,7,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,6,8,7,1,2,5,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,8,5,4,7,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,2,4,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,6,5,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,2,4,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,5,2,1,4,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,8,5,2,7,4,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,8,4,7,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,4,1,3,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,5,1,2,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,4,6,2,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,5,2,8,7,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,5,6,1,8,7,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,5,8,7,2,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,7,2,6,3,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,7,5,2,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,4,7,2,3,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,5,7,3,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,1,7,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,4,8,7,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,8,5,7,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,1,6,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,6,3,7,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,7,6,3,8,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,7,5,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,3,5,8,6,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,4,3,8,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,8,3,7,6,5,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,8,2,1,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,2,7,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,2,5,7,6,4,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,2,7,6,5,4,3]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,1,6,7,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,2,6,8,5,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,3,8,5,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,7,5,6,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,3,6,5,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,4,3,6,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,5,4,3,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,4,5,3,2,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,5,4,3,1,6,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,6,3,4,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,7,1,4,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,4,2,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,8,5,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,1,2,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,5,6,7,2,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,7,6,2,4,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,6,1,4,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,5,4,7,1,3,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,4,5,7,2,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,6,1,7,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,6,5,7,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,3,6,8,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,6,5,8,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,5,8,7,6,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,5,8,6,7,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,1,5,8,7,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,4,6,1,7,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,3,6,8,7,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,4,6,1,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,7,6,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,5,6,8,7,2,3]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,4,6,3,7,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,6,5,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,5,4,1,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,2,6,5,4,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,2,5,4,3,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,7,5,2,6,3,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,6,4,7,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,7,5,4,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,4,7,6,2,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,3,6,1,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,5,1,6,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,8,2,6,5,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,2,5,4,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,2,6,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,3,7,2,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,3,7,5,2,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,6,2,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,3,6,2,7,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,4,7,3,8,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,1,8,2,6,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,8,6,2,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,7,8,2,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,1,8,2,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,8,1,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,6,1,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,1,6,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,7,2,6,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,7,1,6,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,8,7,1,6,5,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,5,1,6,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,8,5,1,4,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,3,8,4,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,5,4,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,8,6,5,1,7,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,7,5,1,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,8,6,2,7,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,6,7,1,5,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,4,7,8,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,5,1,2,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,1,2,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,6,2,3,8,7,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,2,7,4,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,1,6,3,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,1,7,6,4,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,1,7,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,1,2,8,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,5,1,2,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,1,6,2,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,1,2,8,5,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,1,3,8,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,1,2,7,5,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,2,3,8,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,1,2,6,5,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,8,1,2,6,5,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,1,6,2,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,1,2,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,8,1,2,7,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,3,7,4,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,7,3,6,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,4,2,8,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,5,3,8,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,4,7,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,3,4,7,5,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,3,5,4,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,4,3,5,8,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,6,4,2,8,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,4,5,2,8,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,3,1,8,2,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,4,2,7,3,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,4,1,7,2,6,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,1,8,3,2,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,2,8,3,4,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,2,1,8,3,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,3,4,8,2,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,5,3,8,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,1,8,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,4,2,7,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,6,4,7,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,2,5,7,4,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,3,2,6,4,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,1,7,2,5,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,2,6,4,3,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,6,2,5,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,3,5,6,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,1,7,4,5,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,3,7,2,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,6,8,3,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,5,8,4,2,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,8,4,5,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,8,5,3,4,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,8,4,3,2,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,7,4,2,5,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,7,3,4,6,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,8,4,3,5,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,2,8,3,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,7,3,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,5,8,4,2,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,1,6,8,2,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,4,8,3,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,8,2,7,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,7,3,4,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,5,3,2,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,3,7,6,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,3,2,6,4,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,2,4,7,5,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,8,2,6,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,8,2,7,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,7,3,4,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,8,6,3,5,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,1,7,2,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,4,5,6,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,6,4,3,5,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,6,3,5,4,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,6,5,2,4,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,6,5,3,2,4,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,8,7,4,6,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,7,6,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,6,5,2,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,7,5,3,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,7,2,5,4,3,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,3,2,5,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,5,2,3,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,8,4,3,6,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,8,1,5,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,1,8,5,4,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,3,1,7,5,4,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,5,7,4,1,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,6,8,4,3,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,7,5,8,1,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,4,7,1,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,1,8,7,6,4,3]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,8,5,7,6,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,7,5,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,7,5,6,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,4,8,2,1,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,4,7,2,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,4,8,2,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,3,2,8,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,3,2,7,6,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,1,4,3,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,7,4,2,6,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,4,5,1,2,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,1,6,5,3,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,5,7,6,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,5,1,7,6,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,4,7,1,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,7,5,6,1,2,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,5,8,6,7,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,4,6,1,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,5,1,6,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,5,6,8,7,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,3,2,1,7,6,5,9,8,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,3,2,1,6,5,4,9,8,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,2,1,9,6,5,8,7,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,3,2,1,9,5,4,8,7,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,3,2,1,8,5,4,7,6,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,5,2,1,9,4,3,8,7,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [9,5,2,1,8,4,3,7,6,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,2,1,7,6,5,10,8,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,3,2,1,6,5,4,10,8,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,2,1,8,6,5,10,7,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,3,2,1,8,5,4,10,7,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,3,2,1,7,5,4,10,6,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,5,2,1,8,4,3,10,7,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,5,2,1,7,4,3,10,6,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,2,1,10,6,5,9,7,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,3,2,1,10,5,4,9,7,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,3,2,1,10,5,4,9,6,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,3,2,1,9,5,4,8,6,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,5,2,1,10,4,3,9,7,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,5,2,1,10,4,3,9,6,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,5,2,1,9,4,3,8,6,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,2,1,8,7,5,10,6,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,3,2,1,8,7,4,10,6,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,3,2,1,7,6,4,10,5,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,4,2,1,8,7,3,10,6,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,4,2,1,7,6,3,10,5,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,2,1,10,7,5,9,6,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,3,2,1,10,7,4,9,6,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,3,2,1,10,6,4,9,5,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,3,2,1,9,6,4,8,5,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,4,2,1,10,7,3,9,6,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,4,2,1,10,6,3,9,5,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,4,2,1,9,6,3,8,5,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,6,2,1,10,5,3,9,4,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,6,2,1,9,5,3,8,4,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,4,3,1,8,7,2,10,6,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,4,3,1,7,6,2,10,5,9]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,4,3,1,10,7,2,9,6,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,4,3,1,10,6,2,9,5,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,4,3,1,9,6,2,8,5,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,6,3,1,10,5,2,9,4,8]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,6,3,1,9,5,2,8,4,7]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,1,4,3,6,5,10,9,7,8]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,1,4,3,8,7,5,6,10,9]=>101011001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [2,1,4,3,10,7,5,9,6,8]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,4,3,10,9,8,5,6,7]=>101011100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,1,6,5,3,4,8,7,10,9]=>101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [2,1,6,5,3,4,10,9,7,8]=>101100110=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [2,1,8,5,3,7,4,6,10,9]=>101101001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [2,1,10,5,3,7,4,9,6,8]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,1,10,5,3,9,8,4,6,7]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [2,1,8,7,6,3,4,5,10,9]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [2,1,10,7,6,3,4,9,5,8]=>101110010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [2,1,10,9,6,3,8,4,5,7]=>101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,1,10,9,8,7,3,4,5,6]=>101111000=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [4,3,1,2,6,5,8,7,10,9]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [4,3,1,2,6,5,10,9,7,8]=>110010110=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [4,3,1,2,8,7,5,6,10,9]=>110011001=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [4,3,1,2,10,7,5,9,6,8]=>110011010=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [4,3,1,2,10,9,8,5,6,7]=>110011100=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [6,3,1,5,2,4,8,7,10,9]=>110100101=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [6,3,1,5,2,4,10,9,7,8]=>110100110=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,3,1,5,2,7,4,6,10,9]=>110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [10,3,1,5,2,7,4,9,6,8]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,3,1,5,2,9,8,4,6,7]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [8,3,1,7,6,2,4,5,10,9]=>110110001=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [10,3,1,7,6,2,4,9,5,8]=>110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [10,3,1,9,6,2,8,4,5,7]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,3,1,9,8,7,2,4,5,6]=>110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [6,5,4,1,2,3,8,7,10,9]=>111000101=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [6,5,4,1,2,3,10,9,7,8]=>111000110=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [8,5,4,1,2,7,3,6,10,9]=>111001001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [10,5,4,1,2,7,3,9,6,8]=>111001010=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [10,5,4,1,2,9,8,3,6,7]=>111001100=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [8,7,4,1,6,2,3,5,10,9]=>111010001=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [10,7,4,1,6,2,3,9,5,8]=>111010010=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [10,9,4,1,6,2,8,3,5,7]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,9,4,1,8,7,2,3,5,6]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [8,7,6,5,1,2,3,4,10,9]=>111100001=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [10,7,6,5,1,2,3,9,4,8]=>111100010=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [10,9,6,5,1,2,8,3,4,7]=>111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,9,8,5,1,7,2,3,4,6]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [12,3,1,5,2,7,4,9,6,11,8,10]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [12,3,1,5,2,7,4,11,10,6,8,9]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,3,1,5,2,11,8,4,10,6,7,9]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [12,3,1,11,6,2,8,4,10,5,7,9]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,11,4,1,6,2,8,3,10,5,7,9]=>11101010100=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42) [7,6,5,4,3,2,9,1,8]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,5,4,3,9,2,8,1,7]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [6,5,4,3,2,8,1,7,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,4,9,3,8,2,7,1,6]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,4,3,8,2,7,1,6,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [5,4,3,2,7,9,1,6,8]=>11100100=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [5,4,3,2,7,1,6,8,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [4,8,3,7,2,6,1,5,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,3,7,2,6,9,1,5,8]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [4,3,7,2,6,1,5,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,3,2,6,8,1,5,7,9]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [4,3,2,6,1,5,7,8,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [3,6,9,2,5,8,1,4,7]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,6,2,5,8,1,4,7,9]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [3,6,2,5,1,4,7,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [3,2,5,7,9,1,4,6,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,2,5,7,1,4,6,8,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,2,5,1,4,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,4,6,8,1,3,5,7,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,4,6,1,3,5,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,7,6,5,4,3,2,10,1,9]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [7,6,5,4,3,10,2,9,1,8]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [7,6,5,4,3,2,9,1,8,10]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [6,5,4,10,3,9,2,8,1,7]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,5,4,3,9,2,8,1,7,10]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [6,5,4,3,2,8,10,1,7,9]=>111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [6,5,4,3,2,8,1,7,9,10]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [5,10,4,9,3,8,2,7,1,6]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,4,9,3,8,2,7,1,6,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,4,3,8,2,7,10,1,6,9]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [5,4,3,8,2,7,1,6,9,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [5,4,3,2,7,9,1,6,8,10]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [5,4,3,2,7,1,6,8,9,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [4,8,3,7,2,6,10,1,5,9]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [4,8,3,7,2,6,1,5,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [4,3,7,10,2,6,9,1,5,8]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,3,7,2,6,9,1,5,8,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,3,7,2,6,1,5,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [4,3,2,6,8,10,1,5,7,9]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [4,3,2,6,8,1,5,7,9,10]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [4,3,2,6,1,5,7,8,9,10]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [3,6,9,2,5,8,1,4,7,10]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [3,6,2,5,8,10,1,4,7,9]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [3,6,2,5,8,1,4,7,9,10]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [3,6,2,5,1,4,7,8,9,10]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [3,2,5,7,9,1,4,6,8,10]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [3,2,5,7,1,4,6,8,9,10]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,2,5,1,4,6,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,4,6,8,1,3,5,7,9,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,4,6,1,3,5,7,8,9,10]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,4,1,3,5,6,7,8,9,10]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,1,7,3,8,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,2,7,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,2,8,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,3,2,8,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,4,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,7,2,5,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,2,8,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,2,8,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,2,7,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,2,4,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,2,4,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,8,2,4,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,8,2,5,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,2,5,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,2,7,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,8,2,7,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,7,2,8,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,7,2,5,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,7,2,4,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,6,2,4,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,2,4,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,2,4,3,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,2,5,3,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,2,8,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,8,2,6,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,7,5,4,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,7,4,3,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,6,4,7,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,4,2,6,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,8,1,5,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,7,2,6,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,7,4,3,6,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,8,3,2,4,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,4,3,6,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,5,4,3,7,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,5,4,7,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,2,5,3,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,4,2,6,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,8,2,1,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,7,3,2,5,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,4,8,2,3,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,8,1,5,6,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,2,6,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,4,2,6,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,6,3,2,5,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,1,6,2,5,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,4,3,7,1,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,2,8,5,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,4,3,8,2,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,4,3,8,7,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,3,8,5,4,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,8,2,1,7,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,8,5,1,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,4,8,5,1,2,3]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,8,6,3,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,8,6,1,5,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,8,3,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,7,8,2,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,6,7,3,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,1,5,2,7,6,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,2,7,3,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,5,3,2,8,6,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,2,8,7,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,1,7,8,5,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,4,1,7,8,3,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,3,1,6,7,2,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,4,2,7,8,3,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,2,6,3,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,1,5,2,6,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,2,1,6,7,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,3,1,6,7,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,8,1,2,5,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,7,1,2,5,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,3,1,2,5,6,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,3,2,4,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,2,1,3,5,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,3,7,1,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,3,6,1,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,3,1,8,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,7,1,3,5,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,8,3,1,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,5,7,1,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,1,2,7,8,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,1,2,7,3,6,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,4,7,8,2,3,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,4,7,8,6,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,4,6,8,7,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,4,6,8,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,7,3,2,4,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,3,6,2,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,7,2,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,4,7,8,1,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,5,7,6,1,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,2,8,6,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,8,2,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,8,3,2,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,7,6,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,5,7,6,2,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,8,6,2,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,1,8,3,6,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,2,1,8,7,5,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,5,4,2,1,8,3]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,6,5,4,8,1,3,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,5,4,2,1,9,3]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,6,5,8,2,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,5,3,2,1,9,4]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,7,6,4,3,2,1,9,5]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,7,5,4,3,2,1,9,6]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,5,4,3,2,1,7,6]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,6,5,4,3,2,1,9,7]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,6,5,4,3,2,1,9,8]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,6,5,4,1,8,3,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,6,5,4,9,1,3,2]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,8,7,6,5,4,2,1,10,3]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,6,5,2,8,1,4,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,5,9,2,1,4,3]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,8,7,6,5,3,2,1,10,4]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,6,5,8,4,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,9,3,2,1,5,4]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [9,8,7,6,4,3,2,1,10,5]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,6,8,5,2,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,9,4,3,2,1,6,5]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,8,7,5,4,3,2,1,10,6]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,8,6,3,2,1,5,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,9,5,4,3,2,1,7,6]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,8,6,5,4,3,2,1,10,7]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [8,7,4,3,2,1,6,5]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [9,6,5,4,3,2,1,8,7]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,7,6,5,4,3,2,1,10,8]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,8,9,10,4,5,6,2,3,1]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,8,9,4,5,6,10,2,3,1]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [7,8,9,10,4,5,2,3,6,1]=>000101001=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [7,8,9,4,5,10,2,3,6,1]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,8,9,4,5,2,3,6,10,1]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [7,8,4,5,9,10,2,3,6,1]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [7,8,4,5,9,2,3,6,10,1]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [7,8,9,10,4,5,6,2,1,3]=>000100110=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [7,8,9,4,5,6,10,2,1,3]=>001000110=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [7,8,9,10,4,5,2,6,1,3]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,8,9,4,5,10,2,6,1,3]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,8,9,4,5,2,6,10,1,3]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,4,5,9,10,2,6,1,3]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [7,8,4,5,9,2,6,10,1,3]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,8,9,10,4,5,2,1,3,6]=>000101100=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [7,8,9,4,5,10,2,1,3,6]=>001001100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [7,8,9,4,5,2,10,1,3,6]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [7,8,9,4,5,2,1,3,6,10]=>001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [7,8,4,5,9,10,2,1,3,6]=>010001100=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [7,8,4,5,9,2,10,1,3,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,4,5,9,2,1,3,6,10]=>010011000=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [7,8,9,10,4,2,5,6,1,3]=>000110010=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [7,8,9,4,10,2,5,6,1,3]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,9,4,2,5,6,10,1,3]=>001100010=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [7,8,4,9,10,2,5,6,1,3]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,8,4,9,2,5,6,10,1,3]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [7,8,9,10,4,2,5,1,3,6]=>000110100=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [7,8,9,4,10,2,5,1,3,6]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [7,8,9,4,2,5,10,1,3,6]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [7,8,9,4,2,5,1,3,6,10]=>001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [7,8,4,9,10,2,5,1,3,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,4,9,2,5,10,1,3,6]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,8,4,9,2,5,1,3,6,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,8,4,2,5,9,10,1,3,6]=>011000100=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [7,8,4,2,5,9,1,3,6,10]=>011001000=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [7,4,8,9,10,2,5,6,1,3]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [7,4,8,9,2,5,6,10,1,3]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [7,4,8,9,10,2,5,1,3,6]=>100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [7,4,8,9,2,5,10,1,3,6]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,4,8,9,2,5,1,3,6,10]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [7,4,8,2,5,9,10,1,3,6]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [7,8,2,4,5,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,7,2,5,1,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,8,1,3,2,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,4,1,5,2,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,7,2,1,4,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,2,3,6,1,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,3,6,1,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,7,3,1,4,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,7,1,5,2,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,3,5,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,7,1,5,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,7,3,1,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,5,6,1,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,2,6,1,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,4,6,7,2,3,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,4,6,7,8,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,5,4,6,7,2,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,7,3,2,4,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,3,6,2,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,3,6,2,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,4,6,7,1,3,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,4,6,7,1,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,7,4,5,1,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,7,4,5,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,6,7,1,3,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,2,6,7,1,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,1,6,2,4,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,1,7,3,2,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,7,4,5,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,4,5,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,1,6,7,2,3,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,1,6,3,4,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,2,5,4,1,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,5,4,2,1,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,3,5,2,4,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,5,2,1,4,3,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,6,7,5,2,8,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,4,1,6,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,4,1,6,5,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,1,5,6,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,2,5,1,6,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,5,4,1,3,2,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,3,4,1,5,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,7,2,5,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,4,6,2,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,7,2,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,1,4,7,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,2,1,7,4,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,4,5,8,7,2,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,3,4,5,8,1,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,5,1,6,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,2,5,6,8,7,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,3,2,5,6,8,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,5,4,6,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,4,6,5,8,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,5,8,6,1,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,3,4,5,8,1,7,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,1,4,6,5,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,5,4,6,8,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,1,4,7,2,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,1,7,5,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,1,7,6,5,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,4,6,7,8,5,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,4,5,2,6,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,5,2,6,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,2,6,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,1,2,7,4,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,2,4,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,2,1,4,7,8,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,3,1,4,2,7,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,1,2,4,7,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,5,2,6,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,5,2,6,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,6,5,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,4,6,1,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,4,6,1,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,7,1,5,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,6,7,5,1,8,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,2,6,7,1,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,2,5,6,8,1,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,5,4,6,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,4,6,5,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,5,8,6,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,4,5,8,1,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,4,5,8,1,2,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,4,5,8,6,2,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,4,5,8,2,7,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,4,5,8,2,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,4,5,8,2,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,4,5,8,6,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,4,6,5,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,4,6,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,2,5,6,8,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,4,6,1,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,4,5,8,1,2,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,4,5,8,2,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,4,5,8,2,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,6,1,8,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,1,7,5,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,8,2,6,1,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,4,2,8,3,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,4,2,7,5,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,4,7,3,6,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,1,7,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,7,1,8,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,3,6,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,3,6,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,10,7,9,5,6,3,4,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,6,8,5,7,3,4,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,6,9,5,7,3,4,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,6,9,5,8,3,4,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,7,8,4,6,3,5,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,7,9,4,6,3,5,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,6,8,4,7,3,5,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,6,9,4,7,3,5,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,6,9,4,8,3,5,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,5,8,4,7,3,6,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,5,9,4,7,3,6,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,5,9,4,8,3,6,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,10,5,9,4,8,3,7,1,2]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,7,8,5,6,2,4,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,7,9,5,6,2,4,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,6,8,5,7,2,4,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,6,9,5,7,2,4,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,6,9,5,8,2,4,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,7,8,4,6,2,5,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,7,9,4,6,2,5,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,6,8,4,7,2,5,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,6,9,4,7,2,5,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,6,9,4,8,2,5,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,5,8,4,7,2,6,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,5,9,4,7,2,6,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,5,9,4,8,2,6,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,10,5,9,4,8,2,7,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,7,8,3,6,2,5,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,7,9,3,6,2,5,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,6,8,3,7,2,5,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,6,9,3,7,2,5,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,6,9,3,8,2,5,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,5,8,3,7,2,6,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,5,9,3,7,2,6,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,5,9,3,8,2,6,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,10,5,9,3,8,2,7,1,4]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,10,4,8,3,7,2,6,1,5]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,10,4,9,3,7,2,6,1,5]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,10,4,9,3,8,2,6,1,5]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,10,4,9,3,8,2,7,1,5]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,7,3,5,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,8,3,6,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,8,6,3,5,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,1,7,3,5,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,3,1,4,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,1,5,7,8,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,7,3,6,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,3,1,5,6,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,7,5,6,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,8,5,1,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,1,8,3,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,6,8,3,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,8,3,5,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,1,5,6,8,4,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,1,5,7,4,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,4,1,7,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,7,5,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,6,1,7,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,1,7,3,5,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,3,1,7,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,7,1,8,5,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,5,1,6,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,1,7,3,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,7,8,3,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,3,6,4,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,6,7,4,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,1,6,8,4,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,8,3,7,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,8,3,6,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,5,1,6,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,1,8,4,5,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,8,3,7,2,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,8,1,5,7,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,6,8,4,7,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,5,8,2,4,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,4,8,3,6,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,2,7,8,3,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,7,4,8,6,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,4,7,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,2,5,4,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,1,2,3,7,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,8,4,3,5,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,5,3,7,6,4,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,2,8,7,4,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,2,8,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,6,3,8,5,4,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,5,3,6,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,3,8,5,4,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,2,7,8,6,3,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,2,8,4,3,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,4,2,7,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,3,2,4,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,3,2,8,4,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,7,8,6,2,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,7,2,4,5,6,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,7,3,5,6,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,2,8,7,4,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,3,2,6,4,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,6,3,2,4,5,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,8,4,3,7,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,1,7,2,4,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,7,4,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,4,7,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,8,2,7,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,5,3,8,6,4,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,5,3,6,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,6,3,7,5,4,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,3,7,5,4,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,4,8,6,5,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,2,7,6,4,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,9,8,7,6,5,4,1,3]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,8,7,6,5,1,4,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,6,3,2,5,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,3,1,5,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,4,3,6,5,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,4,6,5,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,2,1,6,5,3,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,1,4,3,5,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,3,5,2,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,2,4,6,5,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,6,3,4,5,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,6,7,4,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,1,4,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,7,2,4,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,7,1,5,2,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,7,4,1,5,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,2,7,1,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,2,8,6,5,4,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,8,6,1,2,3,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,8,7,4,3,1,2]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,2,7,4,3,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,2,3,7,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,5,3,1,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,8,6,1,3,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,8,1,6,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,2,8,6,4,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,2,6,4,8,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,3,5,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,5,3,8,6,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,5,3,2,7,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,4,5,2,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,2,7,6,5,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,6,7,8,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,4,3,6,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,3,2,8,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,7,3,6,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,1,4,8,6,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,1,4,2,8,6,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,1,3,8,5,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,4,7,8,1,2,6,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,7,8,1,4,5,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,2,8,1,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,8,5,1,4,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,1,6,4,8,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,2,6,8,5,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,8,4,6,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,2,8,4,1,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,5,8,2,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,5,2,4,6,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,4,2,3,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,2,8,3,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,4,8,2,5,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,4,8,3,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,4,8,5,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,5,4,8,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,2,5,8,4,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,6,3,7,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,3,8,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,6,8,3,4,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,6,2,7,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,6,7,2,4,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,6,8,4,3,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,7,8,4,1,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,5,7,8,4,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,8,2,4,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,6,2,8,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,2,6,8,5,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,6,8,2,4,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,6,8,4,2,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,6,7,8,1,4,5,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,7,8,1,4,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,7,8,2,1,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,7,8,1,4,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,7,8,3,1,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,7,8,3,1,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,7,3,8,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,7,3,8,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,7,3,8,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,6,3,8,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,5,4,8,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,5,2,3,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,5,3,2,8,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,3,8,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,3,8,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,8,3,1,6,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,7,8,3,1,2,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,6,8,2,3,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,6,2,8,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,2,6,8,4,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,7,2,8,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,8,2,1,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,7,8,1,3,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,7,8,1,3,5,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,7,8,1,3,5,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,7,8,1,5,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,7,8,1,5,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,7,8,1,2,5,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,7,8,2,1,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,7,2,8,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,2,7,8,1,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,2,7,8,1,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,8,2,1,6,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,7,8,1,2,5,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,7,8,1,5,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,7,8,1,5,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,7,8,1,5,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,5,6,7,8,9,1,2,10]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,4,5,6,7,8,1,3,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,4,5,6,7,1,8,2,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,3,5,6,7,8,9,2,4]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,4,5,6,7,8,2,9,3]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,4,5,6,7,8,9,10,2,3]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [4,2,7,1,5,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,8,6,1,5,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,6,7,5,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,3,5,4,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,1,5,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,1,3,5,8,6,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,3,6,4,7,1,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,4,8,2,7,5,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,4,8,2,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,1,6,2,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,6,2,1,5,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,3,6,5,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,3,5,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,7,5,1,8,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,7,5,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,1,6,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,5,6,1,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,8,5,1,7,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,8,2,1,5,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,2,1,3,5,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,2,3,5,7,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,3,6,1,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,1,3,5,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,2,5,6,1,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,5,2,6,1,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,2,8,1,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,2,7,5,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,6,2,7,1,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,1,2,6,3,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,2,7,4,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,1,7,8,5,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,3,8,4,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,4,1,5,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,8,5,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,5,1,6,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,4,5,1,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,4,5,6,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,3,6,7,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,8,3,7,6,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,3,7,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,3,4,8,1,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,3,4,8,1,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,3,4,8,5,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,5,8,4,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,8,4,5,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,8,5,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,3,8,5,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,8,1,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,8,4,1,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,3,5,8,1,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,2,3,6,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,2,3,6,1,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,7,1,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,5,8,1,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,3,8,4,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,8,1,3,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,4,8,1,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,5,1,2,3,8,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,5,1,4,2,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,4,5,1,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,6,4,1,2,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,8,5,4,1,2,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,6,4,1,2,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,1,4,2,3,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,5,1,2,4,3,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,5,1,2,4,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,5,1,3,2,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,1,3,2,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,5,1,3,4,2,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,3,4,5,1,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,4,3,1,5,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,4,3,1,8,5,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,4,3,1,8,7,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,8,4,1,2,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,4,1,2,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,8,4,1,6,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,3,6,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,8,4,1,6,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,8,4,1,7,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,4,2,1,7,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,4,2,1,7,5,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,6,4,1,8,7,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,4,5,1,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,1,4,3,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,1,2,8,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,5,1,2,8,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,5,1,8,2,4,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,1,8,2,3,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,5,1,8,3,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,5,1,4,8,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,4,5,1,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,6,4,1,7,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,5,4,1,6,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,6,4,1,7,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,4,5,1,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,1,4,8,3,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,5,1,8,3,4,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,5,1,8,4,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,7,6,2,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,6,2,1,3,5,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,6,1,2,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,5,3,1,4,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,1,5,3,2,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,4,2,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,5,7,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,1,6,5,2,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,5,6,8,1,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,3,4,2,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,5,6,1,8,7,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,1,6,5,7,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,3,4,7,5,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,7,4,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,8,5,1,6,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,6,4,7,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,1,7,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,3,2,1,5,4,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,5,1,7,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,7,1,3,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,1,8,7,4,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,1,8,4,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,8,4,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,4,3,1,7,2,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,7,4,6,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,8,6,4,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,5,8,6,7,4,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,2,1,8,6,5,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,6,7,2,5,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,2,5,3,8,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,1,3,4,8,7,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,5,4,2,8,3,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,4,3,1,8,7,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,4,3,8,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,6,2,8,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,1,7,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,3,1,7,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,1,8,6,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,6,8,1,5,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,5,8,3,1,2,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,3,2,5,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,8,1,5,2,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,8,7,4,5,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,5,7,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,8,5,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,4,8,7,5,3,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,6,8,3,7,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,8,2,4,1,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,8,1,7,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,5,4,8,1,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,3,4,8,1,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,3,2,5,1,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,8,1,5,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,2,6,4,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,6,2,1,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,2,8,3,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,8,3,6,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,3,6,7,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,5,6,4,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,4,1,6,3,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,3,5,7,6,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,1,4,5,6,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [9,7,8,5,6,3,1,4,2]=>10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,7,8,5,3,6,1,4,2]=>10110101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,7,5,8,3,6,1,4,2]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [7,9,5,8,3,6,1,4,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,6,8,3,5,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,9,5,7,3,6,1,4,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,9,6,7,3,5,1,4,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,9,6,7,4,5,1,3,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,9,6,7,4,5,2,3,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,10,7,8,5,6,3,1,4,2]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [9,7,8,5,3,1,6,4,2]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [9,10,7,8,5,3,6,1,4,2]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [9,7,5,3,8,6,1,4,2]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,10,7,5,8,3,6,1,4,2]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [7,5,9,8,3,6,1,4,2]=>10110101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,7,10,5,8,3,6,1,4,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,8,6,3,5,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,7,6,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [9,8,5,7,3,6,1,4,2]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [10,7,9,5,8,3,6,1,4,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,9,6,8,3,5,1,4,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [10,8,9,5,7,3,6,1,4,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,5,8,4,7,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,9,5,7,4,6,1,3,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [10,8,9,6,7,3,5,1,4,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,9,6,7,3,5,2,4,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [10,8,9,6,7,4,5,1,3,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,7,4,2,5,3,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,4,8,3,1,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,8,5,6,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,2,5,6,3,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,7,5,6,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,5,6,2,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,3,5,6,2,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,2,5,6,4,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,3,5,6,1,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,5,2,7,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,8,5,1,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,4,8,2,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,8,6,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,1,2,3,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,8,5,6,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,2,5,6,4,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,8,5,3,7,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,1,5,2,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,1,5,3,7,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,2,4,6,7,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,5,3,6,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,5,3,7,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,4,6,3,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,4,1,7,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,3,1,2,8,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,3,5,1,7,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,3,1,6,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,2,1,6,7,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,3,1,6,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,3,2,6,7,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,6,5,1,7,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,4,6,1,2,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,6,1,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,8,7,6,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,4,7,2,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,7,5,6,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,7,5,6,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,6,5,1,7,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,7,4,6,2,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,4,2,1,5,8,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,7,4,6,1,3,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,4,7,3,1,2,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,4,3,7,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,4,2,7,1,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,4,1,3,5,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,4,1,5,3,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,1,2,6,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,4,2,3,6,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,2,5,3,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,5,4,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,1,5,6,4,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,1,5,6,4,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,1,2,5,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,1,6,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,1,5,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,4,1,5,2,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,1,5,4,7,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,4,6,7,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,1,4,6,7,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,1,3,6,7,8,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,4,1,5,3,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,1,3,2,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,5,1,4,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,4,3,5,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,5,4,7,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,4,6,7,8,2]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,1,8,2,5,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,6,1,4,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,1,6,4,3,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,3,8,7,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,7,1,3,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,8,1,5,7,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,1,5,8,4,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,6,4,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,1,6,5,3,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,7,6,5,4,3]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,2,7,1,6,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,8,7,3,2,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,7,2,8,6,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,1,8,6,5,4,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,7,6,1,4,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,5,1,4,6,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,8,5,1,4,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,8,2,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,6,2,1,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,6,2,1,5,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,2,8,1,6,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,5,3,2,1,6,4]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,5,2,6,3,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,6,2,1,8,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,5,2,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,8,5,1,7,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,5,1,3,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,6,1,5,3,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,7,6,3,8,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,6,4,2,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,8,7,6,4,3,2]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,5,2,1,7,6,4,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,5,2,1,6,3,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,8,6,3,2,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,6,1,7,4,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,6,3,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,2,5,7,3,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,6,8,5,7,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,8,2,7,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,7,3,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,4,7,3,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,3,8,7,1,2,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,7,2,4,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,8,4,2,7,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,4,2,8,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,2,7,1,3,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,5,4,2,1,7,3]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,4,7,3,1,8,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,3,8,6,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,8,4,6,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,4,8,3,5,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,5,3,8,2,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,4,3,2,1,9,8,7]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [6,5,4,3,2,1,8,7,9]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [5,4,3,2,1,9,8,7,6]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,4,3,2,1,8,7,6,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [5,4,3,2,1,7,6,9,8]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [5,4,3,2,1,7,6,8,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [4,3,2,1,8,7,6,5,9]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,3,2,1,7,6,5,9,8]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [4,3,2,1,7,6,5,8,9]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [4,3,2,1,6,5,8,7,9]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,3,2,1,6,5,7,8,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [3,2,1,6,5,4,8,7,9]=>11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [3,2,1,6,5,4,7,8,9]=>11011000=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [3,2,1,5,4,7,6,9,8]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [3,2,1,5,4,7,6,8,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [3,2,1,5,4,6,7,8,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [2,1,4,3,6,5,7,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [2,1,4,3,5,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [7,6,5,4,3,2,1,10,9,8]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [7,6,5,4,3,2,1,9,8,10]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [6,5,4,3,2,1,9,8,7,10]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [6,5,4,3,2,1,8,7,9,10]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,4,3,2,1,9,8,7,6,10]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [5,4,3,2,1,8,7,6,10,9]=>111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [5,4,3,2,1,8,7,6,9,10]=>111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [5,4,3,2,1,7,6,9,8,10]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [5,4,3,2,1,7,6,8,9,10]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [4,3,2,1,8,7,6,5,9,10]=>111011100=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [4,3,2,1,7,6,5,10,9,8]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [4,3,2,1,7,6,5,8,9,10]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [4,3,2,1,6,5,8,7,9,10]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [4,3,2,1,6,5,7,8,9,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [3,2,1,6,5,4,9,8,7,10]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,2,1,6,5,4,8,7,10,9]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,2,1,6,5,4,8,7,9,10]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [3,2,1,6,5,4,7,8,9,10]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [3,2,1,5,4,7,6,9,8,10]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,2,1,5,4,7,6,8,9,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [3,2,1,5,4,6,7,8,9,10]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [2,1,4,3,6,5,8,7,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,1,4,3,6,5,7,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,1,4,3,5,6,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [5,6,3,7,4,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,3,8,5,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,1,3,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,6,3,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,7,6,5,3,1,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,7,2,4,6,5,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,3,4,5,2,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,8,4,2,5,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,8,4,1,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,4,8,5,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,7,8,5,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,1,5,4,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,4,8,5,3,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,8,5,2,6,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,4,3,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,1,4,2,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,4,3,5,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,5,3,6,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,5,3,2,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,4,6,3,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,6,4,1,8,7,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,3,1,8,2,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,5,2,1,8,7,6,4]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,3,2,8,6,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,2,1,7,8,6,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,7,6,5,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,2,7,1,4,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,6,2,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,2,1,8,5,4]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,6,3,7,4,1,2,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,3,4,7,1,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,3,1,4,5,7,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,7,3,1,5,4,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,3,1,2,4,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,3,2,4,5,6,7]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,1,7,2,3,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,1,6,5,4,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,1,5,6,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,1,2,5,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,8,1,6,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,4,1,5,2,3,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,1,5,4,7,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,1,4,6,7,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,1,4,7,6,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,8,2,1,3,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,2,3,1,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,1,3,5,8,7,6]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,4,1,3,6,2,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,4,1,3,6,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,5,1,4,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,4,3,5,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,3,5,4,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,4,6,2,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,3,2,5,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,2,6,5,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,1,5,2,6,4,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,1,5,2,7,4,8,6,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,1,5,2,7,4,6,9,8]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [3,1,5,2,4,7,6,9,8]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,1,2,5,4,7,6,9,8]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [3,1,4,2,6,5,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,5,2,6,3,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,1,5,2,6,4,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,6,2,7,4,8,5,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,1,5,2,7,4,8,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,5,2,8,4,9,6,7]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,1,5,2,7,4,9,6,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,5,2,7,4,6,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [3,1,5,2,7,4,9,6,8,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,1,5,2,4,7,9,6,8]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,1,5,2,7,4,6,9,8,10]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,1,2,5,7,4,6,9,8]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [3,1,5,2,4,7,6,9,8,10]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,3,5,2,4,7,6,9,8]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [3,1,2,5,4,7,6,9,8,10]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [6,8,2,4,5,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,7,3,1,5,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,1,2,4,7,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,1,3,5,2,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,1,4,5,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,1,8,2,3,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,4,2,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,3,5,7,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,7,2,6,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,2,3,6,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,3,4,7,5,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,7,1,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,6,5,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,1,4,8,5,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,3,1,7,4,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,4,1,8,5,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,2,8,7,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,4,8,1,5,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,1,7,8,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,1,6,7,8,4,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,1,6,2,7,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,3,4,8,7,5,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,6,7,8,9,1,2,3]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [4,5,6,7,8,9,2,3,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [5,6,7,8,9,1,2,3,4]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [6,7,8,9,2,3,4,5,1]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,9,6,7,5,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,5,6,7,8,9,10,1,2,3]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,5,6,7,8,9,10,2,3,1]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [5,6,7,8,9,10,1,2,3,4]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [5,6,7,8,9,10,3,4,1,2]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [7,8,9,10,3,4,5,6,1,2]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,9,10,5,6,3,4,1,2]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [8,9,10,5,6,7,2,3,4,1]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,8,3,7,6,5,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,8,7,5,4,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,3,8,7,6,4,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,7,6,1,5,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,8,7,6,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,2,8,7,5,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,8,2,6,5,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,7,5,4,3,2]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,1,8,7,6,5,4,2]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,8,2,6,1,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,8,7,1,5,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,1,7,6,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,7,6,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,2,1,6,5,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,8,7,1,4,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,1,7,6,5,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,4,1,8,7,6,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,4,8,1,7,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,4,1,6,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,3,1,6,5,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,8,1,7,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,1,8,7,6,4,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,2,1,6,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,3,1,8,7,4,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,4,3,1,8,7,5,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,4,3,1,8,7,6,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,5,2,1,8,6,4,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,4,2,1,8,7,6,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,3,2,1,8,6,5,4]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,3,2,1,8,7,5,4]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [9,7,5,3,1,10,8,6,4,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,7,5,3,1,10,9,6,4,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,6,5,3,1,10,8,7,4,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,5,3,1,10,9,7,4,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,6,5,3,1,10,9,8,4,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,7,4,3,1,10,8,6,5,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,7,4,3,1,10,9,6,5,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,6,4,3,1,10,8,7,5,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,4,3,1,10,9,7,5,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,6,4,3,1,10,9,8,5,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,5,4,3,1,10,8,7,6,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,5,4,3,1,10,9,7,6,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,5,4,3,1,10,9,8,6,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [6,5,4,3,1,10,9,8,7,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,7,5,2,1,10,8,6,4,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,7,5,2,1,10,9,6,4,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,6,5,2,1,10,8,7,4,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,5,2,1,10,9,7,4,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,6,5,2,1,10,9,8,4,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,7,4,2,1,10,8,6,5,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,7,4,2,1,10,9,6,5,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,6,4,2,1,10,8,7,5,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,4,2,1,10,9,7,5,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,6,4,2,1,10,9,8,5,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,5,4,2,1,10,8,7,6,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,5,4,2,1,10,9,7,6,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,5,4,2,1,10,9,8,6,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [6,5,4,2,1,10,9,8,7,3]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,7,3,2,1,10,8,6,5,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,7,3,2,1,10,9,6,5,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,6,3,2,1,10,8,7,5,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,3,2,1,10,9,7,5,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,6,3,2,1,10,9,8,5,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,5,3,2,1,10,8,7,6,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,5,3,2,1,10,9,7,6,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,5,3,2,1,10,9,8,6,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [6,5,3,2,1,10,9,8,7,4]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,4,3,2,1,10,8,7,6,5]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,4,3,2,1,10,9,7,6,5]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [7,4,3,2,1,10,9,8,6,5]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [6,4,3,2,1,10,9,8,7,5]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [6,1,4,2,3,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,1,4,2,3,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,8,1,4,2,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,4,2,3,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,2,3,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,3,6,1,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,3,8,1,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,2,3,8,1,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,3,6,1,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,3,6,4,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,3,6,2,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,3,8,4,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,3,6,1,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,2,3,8,1,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,4,3,8,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,4,3,6,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,8,4,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,8,4,2,1,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,3,8,1,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,3,6,1,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,6,4,2,1,5,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,3,6,4,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,6,2,4,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,6,2,1,4,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,1,3,8,4,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,1,3,6,4,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,8,2,4,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,3,8,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,7,8,5,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,4,2,7,5,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,4,2,7,1,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,7,2,5,6,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,8,5,3,7,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,4,2,7,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,5,3,6,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,3,6,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,5,2,4,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,6,2,8,5,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,1,4,2,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,5,2,1,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,5,3,1,6,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,5,8,2,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,8,7,4,2,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,8,5,7,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,8,7,5,2,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,8,2,5,4,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,2,4,5,8,6,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,7,3,5,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,3,2,5,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,2,1,7,5,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,3,7,8,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,3,7,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,6,3,7,1,2,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,1,3,5,7,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,3,2,4,5,1,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,2,5,4,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,4,2,6,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,6,3,8,7,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,7,4,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,8,5,1,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,8,1,2,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,3,5,2,8,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,8,4,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,7,2,8,3,9,4,10,5]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,1,7,8,9,10,2,3,4,5]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [3,8,1,7,5,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,5,7,3,6,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,7,5,3,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,6,7,5,3,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,8,7,2,6,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,8,6,2,3,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,1,3,5,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,1,8,2,5,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,6,1,3,5,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,3,6,5,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,6,3,5,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,3,8,5,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,3,5,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,1,3,5,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,1,3,5,8,7,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,4,3,5,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,1,3,5,8,7,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,2,1,3,5,8,7,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,2,1,3,6,5,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,6,3,5,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,2,1,8,3,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,3,8,5,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,4,3,8,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,3,8,5,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,3,6,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,3,6,5,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,3,6,5,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,6,3,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,1,4,3,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,4,3,5,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,4,1,3,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,6,1,3,5,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,6,1,3,5,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,1,6,3,5,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,4,6,3,5,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,4,6,3,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,8,3,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,8,3,5,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,8,1,3,5,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,8,1,3,5,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,8,1,3,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,8,1,3,5,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,8,1,3,5,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,1,8,3,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,6,8,3,5,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,6,3,8,5,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,3,8,5,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,1,8,3,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,6,8,3,5,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,3,6,8,5,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,3,6,8,5,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,8,6,5,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,8,3,6,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,4,3,5,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,1,4,3,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,1,4,3,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,1,6,3,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,3,6,5,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,8,3,6,5,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,8,6,3,5,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,8,6,3,5,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,1,6,3,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,1,3,5,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,6,1,3,5,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,4,1,3,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,4,1,3,5,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,6,2,1,3,5,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,8,1,4,3,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,4,3,5,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,8,4,3,5,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,6,4,3,5,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,6,4,3,5,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,1,4,3,5,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,4,1,3,5,7,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,2,1,3,5,7,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,2,1,3,5,7,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,8,6,5,2,1,4,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,7,4,1,8,6,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,4,2,8,3,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,4,2,7,3,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,1,4,6,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,4,6,3,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,7,4,5,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,4,6,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,4,1,7,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,1,7,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,4,1,8,7,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,8,4,6,7,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,8,4,5,7,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,4,5,6,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,1,4,5,3,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,4,5,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,1,5,4,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,5,4,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,1,5,4,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,4,5,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,4,6,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,4,2,7,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,2,8,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,2,8,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,2,8,3,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,1,4,6,3,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,5,4,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,1,5,4,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,1,5,4,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,1,4,2,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,8,1,4,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,3,1,4,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,5,4,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,2,7,6,5,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,1,2,6,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,3,1,4,7,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,7,2,8,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,1,4,7,3,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,1,4,5,3,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,5,4,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,1,5,4,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,1,5,4,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,1,4,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,1,4,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,3,1,4,6,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,4,2,6,5,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,8,7,3,4,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,3,1,4,6,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,3,1,4,5,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,1,5,4,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,1,5,4,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,4,7,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,2,7,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,4,7,2,8,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,7,1,4,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,3,1,4,7,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,1,5,4,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,2,8,5,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,2,5,8,7,6]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,1,5,4,2,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,1,4,5,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,8,1,4,5,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,1,4,5,6,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,3,1,4,5,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,5,4,2,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [9,8,7,6,5,4,2,1,3]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [9,8,7,6,5,3,2,1,4]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,7,6,3,5,2,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [9,8,7,6,4,3,2,1,5]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,7,4,6,3,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,8,7,5,4,3,2,1,6]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [8,5,7,4,3,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [9,8,6,5,4,3,2,1,7]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [9,7,6,5,4,3,2,1,8]=>11111110=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [9,8,7,6,5,4,1,3,2]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [10,9,8,7,6,5,4,2,1,3]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [9,8,7,6,5,2,4,1,3]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [10,9,8,7,6,5,3,2,1,4]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [9,8,7,6,3,5,2,1,4]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [10,9,8,7,6,4,3,2,1,5]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [8,7,6,2,5,4,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [9,8,7,4,6,3,2,1,5]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [10,9,8,7,5,4,3,2,1,6]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [8,5,4,7,3,2,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,3,6,5,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,8,5,7,4,3,2,1,6]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [10,9,8,6,5,4,3,2,1,7]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [6,5,8,4,3,2,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,7,6,3,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [9,6,8,5,4,3,2,1,7]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [10,9,7,6,5,4,3,2,1,8]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [5,8,7,4,3,2,1,6]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [10,8,7,6,5,4,3,2,1,9]=>111111110=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [5,8,6,2,3,4,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,2,7,3,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,6,3,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,8,6,5,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,7,2,5,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,2,1,5,6,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,2,5,8,4,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,8,7,4,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,1,6,8,5,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,6,2,3,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,8,3,1,6,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,7,1,8,6,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,3,8,7,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,2,8,1,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,3,5,1,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,3,8,7,1,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,4,3,7,2,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,7,4,2,6,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,6,5,1,7,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,3,2,8,4,1,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,3,4,1,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,2,8,3,1,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,4,3,1,7,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,5,3,1,7,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,6,4,1,7,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,7,5,1,6,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,7,5,2,6,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,6,2,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,7,6,1,5,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,8,6,2,1,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,8,5,2,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,8,4,2,1,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,4,3,8,2,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,8,4,1,2,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,8,5,1,2,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,6,1,2,5,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,4,6,3,5,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,8,6,1,2,4,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,7,8,3,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,4,8,2,1,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,4,8,3,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,8,6,2,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,8,7,3,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,8,3,1,5,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,2,4,8,1,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,8,4,1,6,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,5,1,6,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,8,7,3,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,4,7,3,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,4,7,2,5,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,8,7,1,5,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,8,6,1,5,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,8,6,1,4,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,5,7,2,4,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,4,6,7,2,3,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,8,7,1,3,5,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,8,5,1,3,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,8,4,1,3,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,8,3,1,4,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,8,7,1,3,4,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,6,8,2,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,5,4,1,8,6,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,6,4,8,1,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,4,6,3,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,6,2,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,6,8,1,5,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,6,1,4,7,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,6,1,4,7,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,1,6,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,6,1,8,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,6,8,1,4,5,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,7,6,3,2,5,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,7,6,3,2,4,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,7,8,6,2,3,4,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,6,1,8,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,5,1,7,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,4,7,6,1,5,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,3,5,8,4,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,4,5,2,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,5,2,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,8,4,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,4,8,5,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,5,4,6,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,4,7,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,5,4,7,1,2,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,5,6,8,7,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,1,6,8,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,1,8,6,4,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,3,6,2,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,1,8,6,4,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,1,6,8,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,5,4,7,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,4,6,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,6,4,8,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,4,5,2,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,5,3,1,2,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,3,5,8,4,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,4,6,5,8,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,7,5,1,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,4,7,5,1,6,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,3,4,7,1,6,5,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,7,1,6,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,6,1,8,7,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,5,8,4,2,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,8,5,3,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,4,5,2,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,8,5,3,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,5,8,4,2,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,4,6,8,3,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,7,4,6,3,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,4,6,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,4,6,7,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,3,4,5,7,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,7,4,6,3,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,1,7,8,3,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,2,7,8,3,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,4,6,8,3,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,8,4,6,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,4,5,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,5,4,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,2,4,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,1,2,4,3,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,6,2,4,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,3,2,4,6,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,6,3,4,5,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,3,4,5,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,2,5,4,3,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,2,4,5,3,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,2,4,7,3,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,2,4,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,3,4,5,2,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,6,3,4,5,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,5,4,3,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,8,7,5,2,6,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,8,6,1,5,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,1,2,4,3,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,3,6,4,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,7,2,5,4,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,4,5,6,3,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,6,2,4,8,7,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,2,8,6,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,2,5,1,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,8,6,2,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,4,1,8,6,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,6,1,8,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,3,1,8,2,4,5]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,3,6,1,4,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,2,6,3,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,6,4,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,3,6,4,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,3,5,7,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,6,3,1,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,4,1,3,8,2,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,5,8,3,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,5,4,1,2,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,3,6,1,4,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,7,2,5,8,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,3,5,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,8,1,3,6,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,3,5,7,4,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,2,3,5,8,4,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,1,4,7,3,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,3,7,1,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,3,8,1,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,8,1,3,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,7,1,3,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,8,5,4,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,5,1,3,4,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,1,7,6,3,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,6,1,8,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,2,6,7,1,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,4,7,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,7,5,1,3,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,1,6,5,2,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,8,3,4,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,3,1,7,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,2,5,6,1,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,2,5,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,3,8,4,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,1,4,7,2,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,2,1,5,7,4,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,3,6,4,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,4,8,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,6,4,7,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,3,5,7,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,3,2,5,7,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,1,7,4,2,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,6,4,8,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,7,3,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,7,3,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,7,3,4,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,1,6,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,7,1,6,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,4,2,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,1,7,6,5,3,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,8,6,5,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,2,8,5,1,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,7,1,5,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,4,8,1,5,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,4,2,3,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,3,8,7,5,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,7,1,6,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,3,8,1,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,7,1,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,3,7,8,5,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,6,4,2,3,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,7,8,1,5,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,4,6,1,5,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,7,8,1,4,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,8,6,1,5,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,4,7,8,1,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,4,8,7,1,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,7,6,1,5,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,6,1,4,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,7,1,4,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,7,4,2,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,4,8,1,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,6,1,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,4,7,1,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,2,4,8,1,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,3,7,1,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,6,7,1,5,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,6,8,1,5,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,8,4,2,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,3,7,5,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,5,8,1,6,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,7,1,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,7,1,5,8,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,4,7,6,1,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,6,8,1,5,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,7,1,4,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,7,5,1,4,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,5,1,4,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,5,1,4,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,8,7,1,4,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,7,1,5,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,6,7,1,5,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,4,6,1,5,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,8,5,1,4,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,6,5,1,4,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,7,5,4,2,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,8,5,4,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,5,2,3,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,1,3,6,7,2,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,1,2,6,3,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,7,1,5,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,1,5,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,1,5,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,1,5,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,3,8,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,3,6,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,6,8,1,5,4,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,1,5,4,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,3,1,5,4,2,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,2,1,5,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,2,1,5,3,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,8,2,1,7,5,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,8,1,5,7,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,3,2,8,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,2,8,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,2,6,3,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,1,5,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,2,1,5,3,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,2,1,8,5,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,2,1,4,5,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,5,6,1,4,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,8,6,1,4,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,4,1,6,5,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,1,4,5,6,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,6,4,5,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,1,4,7,6,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,1,7,5,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,8,7,1,4,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,5,7,1,4,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,5,7,1,4,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,7,6,1,4,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,7,8,1,4,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,3,1,5,6,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,1,6,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,4,1,8,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,1,4,5,6,7,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,3,1,4,8,6,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,1,6,3,4,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,5,8,4,3,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,6,4,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,8,4,6,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,1,5,4,6,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,6,1,4,5,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,1,4,5,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,6,1,5,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,1,5,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,1,5,6,3,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,2,5,8,3,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,4,5,6,8,3,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,5,6,7,1,4,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,8,5,1,4,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,7,5,1,4,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,7,1,4,5,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,1,7,4,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,6,4,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,6,5,4,8,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,6,1,4,5,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,8,1,4,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,6,5,1,4,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,1,6,5,8,7,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,1,2,4,8,7,6]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,6,2,1,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,7,2,1,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,7,2,8,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,5,8,3,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,4,5,1,3,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,4,5,1,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,4,5,2,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,5,2,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,4,5,1,2,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,4,5,8,2,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,2,6,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,4,5,2,1,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,1,8,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,1,6,3,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,4,8,6,3,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,8,6,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,3,5,6,7,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,3,5,6,7,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,1,5,6,7,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,3,5,6,7,2,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,4,3,6,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,4,1,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,4,6,7,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,8,3,6,7,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,8,2,1,7,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,2,6,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,2,5,6,7,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,1,5,6,7,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,2,5,6,7,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,1,5,6,7,4,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,1,3,5,6,7,4,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,4,3,6,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,3,6,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,1,8,5,7,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,1,6,8,7,5,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,1,8,2,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,8,2,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,8,6,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,4,8,6,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,4,1,6,2,3,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,4,5,8,1,3,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,4,5,8,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,6,1,8,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,6,5,8,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,3,6,7,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,5,2,1,7,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,5,6,7,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,4,2,5,6,7,1,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,8,5,6,7,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,5,6,7,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,1,5,6,7,3,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,3,8,6,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,8,6,7,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,5,8,1,7,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,4,8,6,1,2,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,8,5,6,7,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,8,5,6,7,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,1,5,6,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,1,4,3,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,2,5,6,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,3,1,4,5,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,1,4,2,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,1,5,6,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,1,5,6,8,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,2,6,7,3,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,6,3,7,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,3,5,7,1,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,3,2,5,6,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,6,2,8,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,4,2,8,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,2,3,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,2,8,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,2,4,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,5,1,8,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,6,1,4,5,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,1,3,2,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,2,4,3,1,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,4,5,1,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,4,1,7,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,6,3,1,2,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,6,2,3,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,4,2,1,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,3,4,2,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,2,3,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,5,3,1,2,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,5,4,1,8,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [10,3,1,2,4,5,6,7,8,9]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,4,1,2,3,5,6,7,8,9]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [5,10,1,2,3,4,6,7,8,9]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [10,6,1,2,3,4,5,7,8,9]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,7,1,2,3,4,5,6,8,9]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,10,1,2,3,4,5,6,7,9]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,10,1,4,5,6,7,8,9]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,3,1,10,2,5,6,7,8,9]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,4,1,2,10,3,6,7,8,9]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [5,6,1,2,3,10,4,7,8,9]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,6,1,2,3,4,10,5,8,9]=>110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [8,7,1,2,3,4,5,10,6,9]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [8,9,1,2,3,4,5,6,10,7]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [6,2,4,3,8,7,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,5,4,1,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,7,1,3,4,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,5,7,3,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,5,7,3,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,4,7,8,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,8,2,1,3,4,5,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,7,1,8,4,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,2,4,7,5,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,2,4,7,5,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,6,3,7,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,6,3,7,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,3,5,8,6,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,6,8,3,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,3,5,8,6,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,1,7,3,8,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,1,3,7,8,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,8,1,7,4,3,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,7,4,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,8,6,2,1,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,2,1,8,3,5,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,1,3,6,7,5,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,2,1,3,7,5,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,3,6,8,7,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,3,2,4,8,6,5,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,1,6,3,8,7,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,1,7,3,5,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,7,5,2,1,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,6,7,5,2,1,8,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,3,4,2,6,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,6,2,7,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,2,6,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,7,5,2,4,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,7,5,2,4,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,7,3,6,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,7,3,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,6,8,4,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,7,4,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,6,2,4,5,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,3,8,6,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,3,7,6,5,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,3,5,7,6,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,2,1,3,5,8,6,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,1,7,3,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,8,6,3,5,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,1,8,3,7,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,1,3,5,6,8,7]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,2,4,1,3,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,1,5,4,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,5,8,7,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,1,4,8,7,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,6,8,4,1,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,5,1,8,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,2,1,3,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,5,6,2,4,1,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,6,1,4,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,4,1,5,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,6,8,4,5,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,6,5,2,8,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,5,6,4,2,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,4,6,8,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,1,4,6,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,5,7,4,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,4,6,7,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,8,4,7,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,8,6,1,7,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,5,1,6,7,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,4,5,6,7,3,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,6,7,1,4,2,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,2,6,1,5,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,5,2,1,6,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,8,4,2,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,6,2,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,2,3,4,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,1,4,6,2,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,2,5,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,8,2,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,2,8,4,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,5,8,6,1,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,2,4,3,6,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,5,7,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,2,8,5,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,1,8,4,7,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,7,1,4,6,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,7,1,5,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,5,3,6,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,1,5,6,2,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,5,1,6,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,3,6,5,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,2,4,1,6,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,7,2,3,6,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,8,2,6,4,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,8,2,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,7,3,6,4,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,5,8,3,2,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,2,8,4,3,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,7,2,4,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,3,7,2,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,7,3,2,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,1,3,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,4,2,3,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,1,4,7,3,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,3,8,4,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,3,4,8,5,7,6]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,7,5,6,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,7,5,6,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,3,8,4,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,5,7,3,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,5,2,7,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,6,3,4,5,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,7,3,4,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,7,6,1,4,5,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,7,8,2,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,8,5,1,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,1,2,3,4,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,8,1,5,2,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,2,5,3,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,6,8,7,5,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,1,8,2,7,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,8,1,2,5,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,1,4,8,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,1,6,8,2,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,7,1,2,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,4,1,2,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,1,2,3,7,8,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,1,2,3,4,8,7]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,7,4,1,2,5,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,3,5,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,6,3,7,2,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,2,5,3,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,3,4,5,1,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,3,4,2,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,4,1,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,3,1,6,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,8,2,4,6,1,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,2,4,3,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,2,3,1,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,3,7,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,3,5,7,2,4,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,7,5,3,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,3,6,2,5,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,6,2,4,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,8,3,7,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,2,5,6,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,5,8,2,7,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,8,1,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,8,1,4,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,8,5,1,6,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,1,4,6,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,8,2,5,7,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,7,1,6,4,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,1,5,6,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,8,5,6,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,7,4,1,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,8,6,2,7,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,7,1,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,8,4,1,7,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,3,1,5,4,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,1,4,6,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,3,1,4,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,1,3,2,4,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,1,3,2,6,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,4,5,3,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,4,1,5,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,6,1,3,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,7,1,2,6,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,4,1,2,6,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,1,4,2,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,1,3,5,6,4,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,1,2,4,3,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,1,3,4,6,7,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,8,1,2,5,3,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,1,2,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,6,7,5,3,8,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,5,3,2,8,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,7,5,3,8,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,5,7,2,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,2,6,5,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,7,6,3,4,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,4,8,2,5,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,7,6,2,3,4,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,3,8,2,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,3,2,5,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,8,3,5,7,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,4,8,3,5,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,8,4,2,6,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,8,2,3,5,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,7,3,8,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,7,5,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,5,2,1,8,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,8,7,5,2,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,7,5,2,8,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,8,3,1,7,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,4,8,3,2,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,7,1,8,6,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,6,8,2,1,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,8,2,5,6,1,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,2,8,6,4,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,5,7,3,8,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,2,5,3,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,2,8,5,6,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,6,8,3,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,6,8,4,1,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,6,8,3,4,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,8,1,6,3,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,1,6,8,3,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,7,3,8,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,3,7,8,2,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,3,1,7,8,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,3,1,7,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,5,4,8,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,2,8,1,4,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,8,4,6,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,5,7,3,8,6,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,3,7,8,5,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,6,7,8,4,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,3,6,7,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,1,7,3,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,1,8,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,4,8,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,4,7,3,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,5,6,7,8,1,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,3,6,7,8,4,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,7,1,3,2,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,1,3,4,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,1,7,3,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,7,1,8,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,3,7,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,7,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,3,8,2,4,5,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,7,4,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,2,1,4,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,8,3,4,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,4,1,8,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,4,8,6,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,4,8,6,2,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,7,2,1,8,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,8,3,2,5,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,7,8,2,5,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,7,4,8,5,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,2,4,7,1,8,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,2,7,1,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,8,5,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,8,5,2,6,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,7,8,1,6,3,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,7,1,8,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,7,8,2,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,1,7,8,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,1,2,7,8,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,2,1,8,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,2,8,5,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,7,4,8,5,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,8,2,4,6,3,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,7,4,3,6,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,4,5,3,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,3,4,7,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,2,4,6,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,5,4,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,7,1,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,7,5,2,6,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,5,3,7,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,3,8,6,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,4,8,1,3,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,5,4,8,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,3,5,8,2,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,3,4,8,1,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,2,4,7,1,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,4,8,1,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,7,1,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,4,8,5,1,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,8,5,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,6,7,3,8,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,4,2,8,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,2,8,6,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,3,7,8,6,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,3,6,8,2,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,5,7,8,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,3,5,6,8,1,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,2,6,7,3,8,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,6,8,1,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,5,2,3,8,7,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,6,7,5,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,5,2,3,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,2,5,3,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,2,5,3,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,4,7,5,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,2,7,4,5,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,2,5,8,7,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,2,5,3,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,2,3,8,7,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,7,4,5,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,7,5,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,7,5,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,7,4,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,4,7,2,5,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,2,4,7,5,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,8,2,4,7,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,2,6,7,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,4,6,7,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,6,7,4,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,7,2,4,5,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,4,5,8,7,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,4,8,7,5,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,6,2,8,7,5,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,4,6,7,5,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,2,4,8,7,5,3,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,2,6,8,7,5,3,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,2,6,5,8,7,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,4,5,8,7,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,2,6,7,4,5,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,7,2,4,5,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,5,2,8,7,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,3,6,8,7,5,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,4,5,8,7,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,7,4,2,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,7,2,5,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,8,7,2,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,8,7,4,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,7,5,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,6,8,7,5,2,3,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,5,8,7,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,6,8,7,4,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,8,7,4,5,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,6,7,5,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,8,6,7,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,8,4,7,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,6,4,7,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,8,2,7,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,8,2,7,5,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,8,4,7,5,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,8,7,2,5,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,5,8,2,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,8,4,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,8,6,4,7,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,7,4,2,5,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,6,4,7,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,6,2,7,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [9,8,7,3,6,2,5,1,4]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,8,7,6,3,5,1,2,4]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,4,8,3,7,2,6,1,5]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,8,4,7,3,6,1,2,5]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [9,8,7,2,4,6,1,3,5]=>11100100=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [9,8,7,4,6,1,2,3,5]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [5,9,4,8,3,7,1,2,6]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [9,5,8,2,4,7,1,3,6]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [9,5,8,4,7,1,2,3,6]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,8,3,5,7,1,2,4,6]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [9,8,5,7,1,2,3,4,6]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [6,9,3,5,8,1,2,4,7]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,9,5,8,1,2,3,4,7]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,2,4,6,8,1,3,5,7]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [9,4,6,8,1,2,3,5,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,6,8,1,2,3,4,5,7]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,5,7,9,1,2,4,6,8]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,7,9,1,2,3,4,6,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [7,9,1,2,3,4,5,6,8]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [10,9,8,7,6,5,2,4,1,3]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,8,7,3,6,2,5,1,4]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [10,9,8,7,6,3,5,1,2,4]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [10,9,4,8,3,7,2,6,1,5]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,9,8,4,7,3,6,1,2,5]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,9,8,7,2,4,6,1,3,5]=>111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,9,8,7,4,6,1,2,3,5]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [10,5,9,4,8,3,7,1,2,6]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,9,5,8,2,4,7,1,3,6]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,9,5,8,4,7,1,2,3,6]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,9,8,3,5,7,1,2,4,6]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [10,9,8,5,7,1,2,3,4,6]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,10,5,9,2,4,8,1,3,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [6,10,5,9,4,8,1,2,3,7]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [10,3,6,9,2,5,8,1,4,7]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [10,6,9,3,5,8,1,2,4,7]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,6,9,5,8,1,2,3,4,7]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [10,9,2,4,6,8,1,3,5,7]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [10,9,4,6,8,1,2,3,5,7]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [10,9,6,8,1,2,3,4,5,7]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [4,7,10,3,6,9,1,2,5,8]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,10,2,4,6,9,1,3,5,8]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,10,4,6,9,1,2,3,5,8]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [7,10,6,9,1,2,3,4,5,8]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [10,3,5,7,9,1,2,4,6,8]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [10,5,7,9,1,2,3,4,6,8]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [10,7,9,1,2,3,4,5,6,8]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [4,6,8,10,1,2,3,5,7,9]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [6,8,10,1,2,3,4,5,7,9]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,2,5,6,3,8,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,7,4,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,2,1,4,7,6,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,7,3,2,5,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,6,4,8,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,4,7,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,8,3,4,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,8,2,6,3,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,3,5,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,1,7,8,4,5,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,6,7,4,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,1,2,5,8,6,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,6,3,5,2,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,2,7,5,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,8,5,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,8,4,7,2,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,8,1,5,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,8,1,6,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,6,7,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,3,4,5,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,5,4,1,2,8,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,7,6,8,3,4,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,1,6,5,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,2,5,3,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,3,7,6,1,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,2,4,6,7,3,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,3,7,4,8,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,6,8,4,3,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,5,4,3,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,4,8,5,3,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,1,8,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,8,5,4,6,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,4,3,8,6,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,1,6,3,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,1,7,4,2,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,2,4,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,3,7,6,2,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,6,8,7,1,4,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,8,5,7,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,2,8,5,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,2,5,1,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,7,5,8,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,8,6,5,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,3,5,1,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,1,4,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,5,6,1,2,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,1,8,4,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,8,4,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,6,8,3,2,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,1,8,3,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,8,1,3,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,8,3,1,2,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,8,3,4,6,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,8,2,1,3,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,1,8,2,3,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,6,8,2,3,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,1,2,8,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,1,8,3,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,2,8,1,3,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,8,4,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,8,4,7,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,2,6,8,4,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,8,3,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,5,1,8,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,2,5,8,3,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,4,3,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,4,1,3,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,5,3,8,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,4,8,7,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,4,8,7,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,2,1,3,8,7,6]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,1,4,2,3,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,1,3,2,8,7,6]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,3,1,2,8,7,6]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,3,1,8,2,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,3,8,2,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,4,8,7,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,4,8,7,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,4,1,8,7,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,5,8,7,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,6,8,7,3,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,1,8,7,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,1,5,8,7,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,3,5,8,2,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,6,8,2,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,8,3,7,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,5,2,8,7,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,1,4,2,8,7,6]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,3,4,2,8,7,6]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,3,2,4,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,1,4,8,7,6]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,2,5,8,1,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,5,8,7,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,4,5,8,7,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,3,5,8,1,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,3,1,4,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,1,3,4,8,7,6]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,1,2,3,4,8,7,6]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,2,5,4,1,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,7,4,2,8,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,5,3,8,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,6,3,4,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,5,6,2,4,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,2,1,3,5,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,2,3,4,6,5,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,2,3,7,8,4,5,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,8,2,6,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,1,6,5,8,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,6,7,3,4,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,8,2,1,4,5,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,7,6,2,1,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,8,4,7,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,7,6,4,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,1,7,8,6,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,2,7,1,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,8,5,3,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,6,4,7,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,2,8,5,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,5,2,1,7,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,3,7,4,2,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,5,7,2,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,1,8,2,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,3,7,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,4,1,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,6,2,8,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,2,5,7,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,5,6,7,1,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,7,6,3,1,8,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,2,8,3,1,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,7,3,8,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,1,8,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,1,8,7,5,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,6,7,1,5,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,7,5,8,6,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,7,8,4,3,1,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,4,5,8,3,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,1,4,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,8,5,1,4,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,5,3,8,4,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,4,8,3,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,6,1,3,5,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,2,4,7,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,3,2,5,7,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,4,8,2,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,2,5,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,4,7,8,5,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,4,3,8,5,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,2,1,6,4,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,1,3,4,5,7,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,8,3,2,1,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,6,8,5,4,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,8,2,5,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,3,8,7,6,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,6,5,3,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,8,5,4,1,3,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,1,8,6,5,4,2,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,4,8,7,3,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,8,3,7,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,6,2,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,7,1,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,5,1,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,7,6,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,8,1,5,7,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,7,3,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,8,3,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,6,7,1,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,8,3,1,6,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,5,3,6,4,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,6,1,3,8,7,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,2,1,7,4,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,1,6,4,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,2,7,5,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,1,2,7,5,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,2,5,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,5,8,7,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,2,3,6,7,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,7,2,6,3,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,2,4,8,7,5,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,2,4,6,1,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,2,8,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,8,7,5,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,8,2,6,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,7,2,5,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,4,8,1,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,1,7,6,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,3,8,7,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,6,1,8,7,5,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,1,2,8,7,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,2,8,1,6,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,6,8,1,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,5,1,6,2,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,6,1,2,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,1,8,3,6,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,7,1,6,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,5,4,3,2,9,8,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [11,9,8,7,6,5,4,3,2,1,10]=>1111111110=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [10,7,6,5,4,3,2,1,9,8]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,6,5,4,3,2,8,1,7]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,7,5,4,3,2,1,8,6]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,5,4,3,7,2,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,4,8,3,2,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,5,4,3,9,2,8,1]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [7,6,4,3,2,8,5,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,6,5,4,3,2,9,7,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,7,6,5,4,3,2,10,9,1]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [7,3,1,4,8,2,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,1,2,5,8,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,4,2,5,1,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,2,4,6,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,7,5,1,6,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,6,3,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,1,4,3,2,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,2,3,7,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,7,1,3,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,7,3,1,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,1,2,7,6,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,8,3,1,2,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,8,1,3,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,3,8,5,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,8,4,5,7,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,7,4,5,3,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,4,3,5,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,4,2,8,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,1,3,7,2,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,6,2,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,1,3,6,5,4,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,7,3,5,4,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,2,6,8,7,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,2,3,6,1,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,2,3,6,5,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,8,4,1,2,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,3,2,7,1,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,6,3,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,2,5,8,1,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,3,4,5,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,1,2,4,6,5,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,6,8,2,1,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,5,2,7,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,5,3,4,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,2,3,5,6,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,7,4,2,1,5,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,6,2,8,5,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,7,5,8,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,6,5,1,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,1,2,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,1,6,5,2,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,6,5,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,1,6,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,7,5,6,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,4,8,6,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,8,7,3,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,6,1,8,5,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,6,7,5,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,7,5,1,2,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,7,1,6,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,5,6,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,7,3,6,5,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,4,5,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,7,4,3,5,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,1,4,2,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,3,6,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,6,1,2,4,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,6,2,1,3,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,1,7,2,6,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,7,3,6,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,7,3,6,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,2,4,5,6,7,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,8,2,4,1,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,6,2,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,5,3,7,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,6,5,1,4,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,2,1,4,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,2,5,4,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,5,6,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,7,5,6,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,7,5,3,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,6,1,4,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,7,3,4,5,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,2,4,6,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,7,6,1,3,4,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,6,2,3,4,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,7,5,6,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,5,2,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,7,5,3,4,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,7,5,4,3,1,6]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,1,7,5,6,3,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,7,6,1,3,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,6,4,1,2,3]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,2,3,7,6,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,3,5,2,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,3,7,5,1,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,2,5,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,2,3,5,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,7,2,4,6,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,7,1,2,6,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,1,7,3,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,4,7,5,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,7,6,2,5,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,5,6,1,3,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,4,3,1,8,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,7,6,3,1,4,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,2,3,4,8,1,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,5,3,4,1,6,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,1,3,8,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,1,3,4,8,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,6,5,2,7,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,6,7,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,6,5,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,6,5,4,2,3,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,7,2,3,5,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,2,5,3,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,8,5,1,2,4,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,5,1,8,2,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,8,3,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,7,8,2,5,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,5,2,8,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,5,8,6,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,6,4,2,8,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,6,1,2,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,7,8,6,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,4,3,6,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,6,8,2,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,6,8,4,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,6,8,4,2,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,8,2,3,6,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,4,7,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,7,8,5,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,4,8,5,1,2,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,8,1,2,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,3,8,2,6,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,8,3,2,5,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,1,3,5,4,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,3,4,2,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,3,1,4,5,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,4,8,2,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,5,2,1,3,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,8,2,6,3,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,2,3,7,4,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,2,3,4,6,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,7,2,4,5,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,6,2,5,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,6,3,5,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,1,6,3,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,1,5,4,3,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,1,5,4,3,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,3,5,4,2,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,5,3,4,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,5,6,2,3,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,4,5,3,2,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,4,3,5,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,1,4,5,3,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,1,4,5,3,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,3,1,5,4,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,1,5,4,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,1,4,5,2,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,5,4,2,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,1,6,2,5,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,6,2,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,4,5,2,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,2,1,5,4,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,6,1,5,4,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,2,4,1,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,4,1,5,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,1,5,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,4,1,5,3,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,1,3,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,5,1,3,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,2,1,3,7,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,2,4,5,3,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,1,2,8,3,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,2,5,4,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,1,3,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,6,1,3,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,1,5,3,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,1,3,5,2,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,1,5,3,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,1,4,2,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,1,6,2,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,1,2,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,5,3,1,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,6,1,2,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,1,5,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,1,8,7,3,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,7,5,4,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,5,2,3,4,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,8,7,1,5,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,6,2,7,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,1,2,7,8,4,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,7,6,1,5,3,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,4,1,3,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,2,4,5,3,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,7,5,3,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,7,5,3,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,2,7,1,6,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,1,5,3,8,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,2,4,7,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,6,1,7,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,8,6,7,1,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,6,7,2,3,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,4,1,2,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,6,1,7,2,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,7,3,2,6,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,1,7,2,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,5,7,2,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,7,2,5,6,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,2,5,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,7,2,1,6,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,1,5,2,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,5,1,6,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,2,7,8,1,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,2,8,5,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,1,5,6,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,7,1,5,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,8,5,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,6,2,1,8,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,5,2,1,6,4,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,1,3,5,8,6,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,3,4,6,8,7,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,5,3,6,8,2,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,4,8,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,7,8,5,1,3,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,3,1,2,6,7,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,5,1,6,3,4,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,8,6,3,4,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,8,1,5,3,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,5,8,3,2,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,4,8,7,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,1,3,4,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,8,3,1,2,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,3,5,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,3,5,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,3,5,2,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,1,3,5,6,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,8,3,5,1,2,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,8,1,2,6,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,2,4,3,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,3,1,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,3,5,1,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,2,3,5,6,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,5,1,4,3,7,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,8,6,1,3,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,1,8,4,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,6,1,4,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,3,8,1,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,1,8,2,4,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,4,1,6,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,5,4,1,3,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,7,6,3,8,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,5,7,6,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,6,5,1,8,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,5,3,4,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,5,2,3,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,5,1,4,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,7,5,1,8,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,1,2,5,3,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,5,1,8,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,5,2,8,3,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,3,5,1,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,6,5,8,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,4,8,7,6,3,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,6,8,5,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,1,3,5,7,4,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,8,7,5,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,5,1,6,7,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,5,1,6,7,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,6,1,3,5,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,7,2,8,1,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,1,8,6,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,8,6,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,3,8,6,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,5,4,6,7,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,8,6,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,8,6,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,5,3,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,3,2,8,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,3,5,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,6,2,5,3,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,6,8,3,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,5,8,1,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,2,8,5,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,3,7,5,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,8,7,5,1,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,8,1,4,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,5,7,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,6,8,5,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,4,8,7,5,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,5,8,2,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,8,2,4,1,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,2,6,7,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,8,1,6,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,4,6,7,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,3,4,6,7,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,3,2,6,7,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,8,1,6,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,1,6,7,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,8,2,6,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,8,7,2,1,5,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,8,5,3,6,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,5,7,4,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,4,1,6,7,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,4,6,7,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,3,4,6,7,1,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,2,7,3,8,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,3,2,8,5,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,6,2,5,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,3,2,6,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,8,2,4,6,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,7,8,2,3,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,2,5,3,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,4,3,2,8,7,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,3,2,8,4,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,3,1,2,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,8,7,3,5,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,2,7,3,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,3,2,8,7,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,7,2,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,8,3,7,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,6,8,5,4,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,1,6,7,2,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,1,5,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,4,8,3,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,6,1,2,5,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,7,1,3,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,3,8,1,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,7,5,8,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,5,1,6,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,2,1,7,5,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,4,2,1,5,8,6,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,4,1,8,5,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,4,8,7,5,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,1,2,8,4,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,4,1,2,7,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,1,8,2,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,7,6,2,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,1,8,7,3,2,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,1,8,7,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,4,1,7,6,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,1,7,5,4,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,1,5,8,6,4,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,1,8,7,6,2,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,8,7,6,5,2,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,4,5,2,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,4,5,2,3,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,3,5,2,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,3,5,2,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,3,4,2,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,3,4,2,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,6,7,3,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,7,3,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,4,2,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,8,4,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,8,5,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,5,2,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,7,3,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,6,2,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,6,2,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,4,6,2,3,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,5,6,2,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,5,6,2,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,2,8,5,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,8,5,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,8,4,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,8,4,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [9,1,2,3,5,4,6,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,1,2,4,5,3,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,3,4,6,5,7,8,9,1]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [10,1,2,3,4,6,5,7,8,9]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [9,1,2,3,5,6,4,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,4,7,5,6,8,9,1]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,3,4,6,7,5,8,9,1]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,5,7,6,8,9,10,1]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [9,10,5,6,7,8,3,4,1,2]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [5,8,9,6,7,10,3,4,1,2]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [9,10,7,8,3,4,5,6,1,2]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [9,10,3,6,7,4,5,8,1,2]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,8,9,6,7,4,5,10,1,2]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,6,7,8,9,4,5,10,1,2]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [9,10,3,4,5,6,7,8,1,2]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [3,8,9,4,5,6,7,10,1,2]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [3,4,7,8,5,6,9,10,1,2]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,9,10,5,6,1,2,3,4]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [5,8,9,6,7,10,1,2,3,4]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [9,10,7,8,1,4,5,2,3,6]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,8,9,10,1,4,5,2,3,6]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [9,10,1,6,7,4,5,2,3,8]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,8,9,6,7,4,5,2,3,10]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [1,6,7,8,9,4,5,2,3,10]=>000010100=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [9,10,1,4,5,6,7,2,3,8]=>010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [1,8,9,4,5,6,7,2,3,10]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [1,4,7,8,5,6,9,2,3,10]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [1,4,5,6,7,8,9,2,3,10]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [9,10,1,6,7,2,3,4,5,8]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [1,8,9,6,7,2,3,4,5,10]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [1,6,7,8,9,2,3,4,5,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,10,1,2,5,6,3,4,7,8]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [1,8,9,2,5,6,3,4,7,10]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [1,2,7,8,5,6,3,4,9,10]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [1,2,5,6,7,8,3,4,9,10]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,8,9,2,3,4,5,6,7,10]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,2,7,8,3,4,5,6,9,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,2,3,6,7,4,5,8,9,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,4,7,2,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,6,2,3,5,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,2,3,6,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,2,4,5,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,4,8,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,7,4,1,2,3,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,5,3,4,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,7,2,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,3,7,4,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,4,8,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,7,2,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,5,8,2,3,4,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,5,7,8,2,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,7,5,1,2,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,7,6,1,2,4,5,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,7,6,1,2,3,5,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,6,5,8,2,3,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,7,4,1,2,3,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,2,3,1,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,4,1,2,7,3,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,2,8,6,3,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,8,1,3,6,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,1,8,2,3,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,8,7,2,3,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,8,7,2,3,4,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,1,3,8,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,5,8,6,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,2,7,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,7,2,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,1,8,7,2,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,8,7,6,4,5,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,8,7,6,4,5,3,2,1,10]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,7,6,4,3,5,2,1,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [8,7,6,3,5,4,2,1,9]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,9,8,7,5,4,6,3,2]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,8,7,3,6,5,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,9,8,7,4,6,5,3,2]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,10,9,8,7,5,6,4,3,2]=>011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [7,1,5,8,3,4,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,3,2,5,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,2,3,8,5,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,2,7,5,8,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,1,7,5,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,4,6,5,2,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,4,6,5,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,6,3,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,3,2,5,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,4,6,5,2,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,4,6,5,3,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,4,6,5,3,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,2,7,5,3,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,2,6,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,7,1,6,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,1,6,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,1,7,5,3,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,1,7,8,6,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,2,3,8,5,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,2,7,5,8,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,7,5,3,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,7,2,6,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,7,3,6,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,7,2,6,5,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,3,2,5,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,3,5,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,7,1,3,5,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,3,1,2,6,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,7,1,6,2,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,7,1,6,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,7,2,6,5,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,1,2,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,1,6,3,4,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,1,3,7,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,5,1,3,4,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,3,4,2,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,3,6,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,2,6,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,3,7,5,1,2,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,3,7,5,1,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,4,3,1,5,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,4,1,5,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,7,3,6,1,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,3,2,1,6,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,4,3,1,2,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,7,3,6,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,2,1,6,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,3,8,5,2,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,2,8,4,3,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,2,8,6,5,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,8,7,5,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,5,8,6,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,3,7,5,2,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,7,8,5,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,7,8,4,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,5,8,3,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,4,8,3,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,3,8,4,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,7,4,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,2,8,6,4,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,3,8,4,2,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,5,3,6,2,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,5,3,7,2,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,3,8,2,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,5,3,8,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,3,8,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,3,8,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,3,7,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,3,5,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,6,3,5,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,3,5,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,3,4,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,4,3,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,8,4,3,2,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,8,3,4,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,3,4,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,4,6,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,3,6,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,3,5,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,3,5,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,7,3,5,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,3,7,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,3,7,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,4,7,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,4,7,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,7,3,8,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,3,8,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,6,3,8,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,2,4,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,6,1,4,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,2,4,6,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,1,5,6,8,7,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,2,1,5,8,6,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,1,5,8,6,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,5,8,7,6,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,1,5,7,8,6,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,3,1,7,5,8,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,3,1,4,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,1,4,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,1,5,7,8,2,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,1,8,5,4,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,1,8,5,7,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,8,7,5,4,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,7,1,8,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,1,8,4,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,2,1,8,4,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,8,5,6,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,8,6,5,4,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,1,6,7,8,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,2,1,6,8,7,5,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,1,6,8,5,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,1,6,8,5,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,6,1,8,4,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,6,1,8,7,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,6,1,8,7,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,6,1,8,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,6,8,3,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,6,7,8,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,3,1,5,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,1,7,8,6,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,1,8,7,6,4,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,1,8,6,4,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,1,8,6,4,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,1,8,4,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,8,4,6,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,8,4,7,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,1,8,7,4,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,1,7,8,3,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,7,1,8,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,1,8,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,1,8,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,7,8,3,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,1,8,4,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,2,8,6,3,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,8,6,2,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,8,6,2,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,3,1,8,2,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,2,8,5,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,5,2,4,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,8,4,5,6,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,8,2,4,5,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,2,5,7,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,3,8,1,5,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,8,2,4,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,3,8,2,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,2,6,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,2,4,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,8,2,4,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,4,2,6,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,8,2,7,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,3,1,4,2,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,7,4,2,6,1,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,4,2,3,8,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,3,7,8,2,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,8,2,4,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,7,2,4,5,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,2,5,8,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,6,8,2,4,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,6,2,3,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,7,8,2,4,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,4,2,1,5,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,8,6,4,2,1,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,6,3,4,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,3,4,2,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,4,2,1,5,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,4,2,1,3,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,4,1,7,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,8,5,4,1,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,5,4,1,6,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,3,8,5,4,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,6,3,5,4,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,6,4,2,1,3,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,2,1,5,7,8,6,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,7,8,6,3,5,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,8,5,7,6,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,2,1,8,4,3,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,8,5,6,4,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,1,8,5,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,1,5,6,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,6,3,8,4,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,4,2,1,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,5,6,4,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,8,5,6,4,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,4,2,1,8,5,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,6,4,2,1,5,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,7,8,6,4,2,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,5,3,7,6,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,2,4,1,8,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,4,1,7,6,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,2,3,8,5,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,1,7,8,6,4,3,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,6,4,3,7,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,2,1,3,7,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,7,8,4,2,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,4,2,1,6,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,2,3,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,1,8,4,3,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,7,5,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,3,7,5,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,7,6,2,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,5,7,6,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,6,2,1,3,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,6,1,8,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,8,4,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,3,6,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,8,3,2,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,5,8,4,3,2,1,9]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,6,5,4,9,3,2,1,8]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [7,6,5,4,3,8,2,1,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,6,5,4,3,2,8,1,9]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,9,8,5,4,3,2,1,7]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,7,9,6,5,4,3,2,1,10]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,5,8,9,4,3,2,1,6]=>10011110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [8,7,6,9,5,4,3,2,1,10]=>110111110=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [6,4,3,7,5,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,4,8,9,3,2,1,5]=>11001110=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [8,7,6,5,10,4,3,2,1,9]=>111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [6,5,3,2,8,4,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,5,3,9,8,2,1,4]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,7,6,5,4,9,3,2,1,10]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [6,5,2,7,8,4,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,4,2,8,9,1,3]=>11110010=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [8,7,6,5,4,3,9,2,1,10]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [7,6,5,4,3,1,8,9,2]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [7,10,9,6,5,4,3,2,1,8]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [9,8,10,7,6,5,4,3,2,1,11]=>1011111110=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [6,5,8,7,4,3,2,1,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,6,9,10,5,4,3,2,1,7]=>100111110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [9,8,7,10,6,5,4,3,2,1,11]=>1101111110=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35) [7,5,4,8,6,3,2,1,9]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,9,8,7,4,3,2,1,6]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,7,5,9,10,4,3,2,1,6]=>110011110=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33) [6,4,3,2,5,8,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,4,3,9,5,2,1,8]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [7,4,8,9,6,3,2,1,5]=>10011110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [8,7,6,4,10,9,3,2,1,5]=>111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [6,3,7,2,5,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,3,2,8,4,1,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,6,3,8,9,5,2,1,4]=>11001110=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [8,7,6,5,3,9,10,2,1,4]=>111100110=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33) [7,6,5,4,2,1,8,3,9]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,3,2,7,5,4,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,5,2,9,8,4,1,3]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,7,6,5,4,2,9,10,1,3]=>111110010=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [7,6,5,4,1,8,9,3,2]=>11110011=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [8,7,6,5,4,3,1,10,9,2]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,4,2,6,3,1,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,3,7,4,2,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,7,3,4,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,5,2,3,1,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,6,3,4,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,3,2,5,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,5,2,1,4,6,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,8,5,2,1,4,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,5,2,3,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,6,2,3,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,6,3,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,6,4,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,1,7,5,4,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,3,7,5,2,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,7,3,4,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,3,2,5,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,7,4,3,6,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,2,4,5,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,3,2,6,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,7,1,5,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,7,1,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,7,2,1,4,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,7,1,3,4,5,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,6,1,3,4,5,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,8,2,4,5,6,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,7,1,3,4,5,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,8,1,3,4,5,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,8,2,3,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,8,3,2,5,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,3,8,2,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,2,7,1,5,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,2,8,1,5,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,2,8,3,1,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,2,3,8,1,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,2,3,1,6,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,2,1,3,6,8,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,2,1,3,6,7,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,3,2,4,7,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,1,3,2,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,1,3,4,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,2,1,5,3,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,1,3,6,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,1,3,2,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,2,4,5,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,1,2,4,5,7,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,2,3,5,6,7,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,7,1,2,4,5,6,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,1,2,4,5,6,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,1,3,2,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,1,3,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,3,2,5,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,4,3,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,8,1,2,3,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,7,6,3,2,5,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,3,2,7,6,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,8,2,7,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,3,6,2,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,2,8,1,7,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,8,3,7,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,7,3,2,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,8,1,2,5,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,6,2,1,8,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,2,7,1,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,6,7,4,1,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,3,4,7,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,6,7,8,3,4,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,7,8,4,2,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,2,8,7,5,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,2,6,4,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,8,1,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,1,8,2,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,6,7,4,2,5,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,7,8,4,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,6,3,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,7,2,4,8,6,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,7,4,8,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,6,4,7,2,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,4,7,1,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,4,2,6,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,4,6,2,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,5,8,2,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,6,4,8,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,7,4,8,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,3,8,4,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,6,4,7,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,5,2,6,3,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,5,2,7,3,4,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,8,5,6,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,6,7,8,5,1,2]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,6,4,7,5,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,5,4,2,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,8,5,4,7,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,5,4,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,2,5,6,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,4,8,5,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,1,4,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,5,2,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,1,5,2,3,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,1,8,4,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,6,4,3,2,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,6,3,8,7,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,5,8,3,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,8,7,4,3,2,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,2,5,4,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,5,8,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,3,7,5,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,6,7,8,5,2,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,6,4,7,8,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,6,3,7,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,4,8,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,4,1,6,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,6,3,8,7,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,1,8,4,3,2,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,1,7,4,3,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,8,5,2,3,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,6,8,3,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,1,3,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,1,4,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,7,6,8,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,7,6,2,8,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,5,7,2,6,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,5,2,7,6,4,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,5,7,6,2,4,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,5,7,4,6,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,5,7,4,6,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,7,4,2,6,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,5,4,7,2,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,5,4,7,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,5,4,7,2,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,5,7,4,2,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,5,7,4,8,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,5,7,4,8,6,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,5,7,8,4,6,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,5,7,8,4,2,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,5,2,7,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,5,7,2,8,6,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,5,7,8,2,6,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,3,2,7,4,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,6,2,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,2,5,4,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,5,2,4,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,7,4,3,8,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,3,7,4,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,7,3,1,8,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,7,3,8,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,6,7,8,1,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,2,7,8,4,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,7,4,8,3,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,2,1,7,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,2,6,8,4,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,4,3,8,6,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,7,2,4,8,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,3,7,2,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,7,3,8,6,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,8,2,4,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,8,2,4,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,3,7,2,4,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,7,3,1,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,7,8,3,1,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,1,5,8,2,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,3,4,2,8,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,4,3,8,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,4,8,1,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,4,6,8,1,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,5,7,3,2,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,6,7,2,3,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,7,8,2,3,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,8,2,3,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,8,3,1,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,7,2,4,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,7,3,1,5,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,6,8,7,2,3,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,4,6,2,3,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,8,7,2,3,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,8,7,2,3,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,4,2,8,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,8,4,1,7,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,8,2,3,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,6,8,2,3,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,6,8,2,3,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,4,7,2,3,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,3,7,4,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,7,8,4,1,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,4,8,2,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,7,4,1,6,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,4,2,3,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,8,6,2,3,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,7,3,1,5,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,1,7,4,2,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,7,6,2,3,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,8,6,2,3,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,6,4,2,3,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,7,6,4,2,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,7,6,2,3,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,7,5,2,3,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,6,1,5,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,6,5,1,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,3,5,1,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,1,5,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,6,5,3,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,1,5,3,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,3,1,8,7,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,5,1,8,7,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,5,8,1,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,8,1,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,8,3,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,5,3,8,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,5,8,3,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,5,8,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,6,5,8,3,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,5,8,7,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,6,5,3,8,7,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,3,8,7,1,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,3,7,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,8,5,3,7,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,1,5,7,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,1,8,5,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,8,5,7,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,8,5,7,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,6,8,5,3,7,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,1,8,5,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,5,3,1,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,8,5,1,7,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,3,5,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,3,1,5,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,3,1,8,5,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,8,1,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,8,5,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,8,1,5,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,6,1,8,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,1,6,8,5,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,6,8,7,5,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,3,6,1,8,7,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,6,8,1,7,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,2,8,7,3,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,2,8,7,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,5,8,7,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,5,8,7,3,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,3,8,1,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,1,8,7,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,6,3,8,7,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,6,3,8,7,5,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,6,8,3,7,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,1,8,3,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,1,3,7,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,8,5,7,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,5,7,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,8,7,1,5,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,7,5,3,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,4,1,8,7,5,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,4,8,7,5,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,6,4,8,7,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,1,8,7,3,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,7,5,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,8,7,3,5,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,4,5,6,8,9,7,1]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,3,4,7,1,8,6,5]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,5,7,8,9,6,1]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,3,5,6,7,8,9,4,1]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,4,5,6,7,8,9,3,1]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,3,4,5,6,7,9,10,8,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [2,3,4,7,8,5,6,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,4,5,8,1,9,7,6]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [2,3,4,5,6,8,9,10,7,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [2,3,6,7,4,8,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,3,4,7,1,8,9,6,5]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [2,5,6,3,7,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,7,1,4,8,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,6,1,7,8,9,4,5]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,4,6,7,8,9,10,5,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [2,6,1,3,7,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,1,6,7,8,9,4,3]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [2,3,5,6,7,8,9,10,4,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [4,1,5,6,7,8,9,3,2]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [2,3,4,5,6,7,10,1,8,9]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,3,4,5,8,9,6,7,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,3,4,5,6,9,1,10,8,7]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [2,3,4,7,8,5,9,6,1]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [2,3,4,5,8,1,9,10,7,6]=>000010011=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [2,5,6,7,4,8,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,6,7,4,8,9,1,5]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,4,8,1,5,9,7,6]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [2,3,4,7,1,8,9,10,5,6]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [2,5,6,3,7,8,9,4,1]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [2,3,7,8,4,5,6,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,7,1,4,8,9,6,5]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [2,3,6,1,7,8,9,10,5,4]=>001000011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [4,5,2,6,7,8,9,3,1]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [2,6,7,3,4,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,1,3,7,8,9,4,5]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,5,1,6,7,8,9,10,4,3]=>010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [5,1,2,6,7,8,9,4,3]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [4,1,5,6,7,8,9,10,2,3]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [1,5,3,2,6,4,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,3,2,6,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,2,8,5,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,2,5,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,2,7,5,4,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,2,4,3,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,5,3,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,6,2,3,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,8,2,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,2,8,5,3,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,2,3,7,5,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,2,3,6,5,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,2,3,5,6,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,2,7,4,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,2,6,4,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,3,5,7,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,2,1,6,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,2,6,8,4,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,7,2,8,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,2,1,8,6,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,8,4,2,1,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,3,2,6,1,8,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,2,7,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,2,3,4,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,2,3,4,1,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,2,3,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,1,8,4,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,2,1,4,5,8,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,8,1,4,3,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,2,3,4,6,8,5]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,1,2,3,4,8,7,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,2,3,4,7,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,2,3,4,6,7,5]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,8,1,3,5,4,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,4,3,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,2,1,4,5,7,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,8,2,1,5,6,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,2,1,6,5,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,8,3,5,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,1,8,3,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,7,3,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,4,6,2,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,2,5,3,1,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,2,4,3,1,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,2,5,4,1,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,2,5,1,8,6,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,2,4,1,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,7,8,1,5,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,7,3,5,4,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,8,2,7,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,2,8,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,8,5,3,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,2,1,8,4,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,3,2,8,4,5,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,8,4,3,5,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,3,5,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,2,3,4,6,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,1,3,4,8,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,1,3,4,7,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,2,3,4,6,8,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,2,3,4,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,2,3,4,1,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,3,4,1,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,7,3,5,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,7,4,5,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,2,3,4,1,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,2,3,4,8,1,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,2,3,4,7,1,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,4,8,7,5,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,7,3,5,6,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,5,3,6,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,3,4,6,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,2,1,6,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,4,1,2,6,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,7,2,6,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,1,6,3,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,1,4,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,2,5,1,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,1,2,6,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,1,5,2,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,1,2,4,7,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,8,3,6,7,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,6,2,4,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,7,6,4,1,3,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,2,6,5,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,7,6,4,2,3,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,8,7,6,3,1,4,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,7,6,2,4,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,7,6,3,4,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,1,4,5,6,7,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,7,3,6,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,2,6,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,1,6,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,2,8,5,7,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,8,5,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,8,5,7,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,1,7,5,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,3,8,5,2,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,7,1,6,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,2,6,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,2,6,5,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,6,7,5,8,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,7,5,6,3,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,6,4,3,1,5]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,8,7,6,1,2,5,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,7,6,2,1,5,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,7,6,2,1,3,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,8,7,6,1,3,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,7,6,4,1,2,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,3,6,5,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,7,5,6,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,7,6,4,2,1,5]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,1,4,6,8,2,3,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,7,6,3,5,4,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,2,6,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,1,5,7,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,5,7,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,5,8,6,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,1,2,5,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,7,2,1,4,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,6,5,1,2,4,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,6,5,7,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,8,5,3,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,5,2,4,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,1,6,8,5,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,2,5,1,4,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,4,2,3,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,8,3,4,6,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,1,2,4,7,6,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,3,8,1,6,5,4,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,4,7,2,5,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,4,1,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,8,6,2,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,8,6,2,7,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,2,1,6,7,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,2,8,6,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,1,2,7,5,3,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,2,8,6,4,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,7,8,4,6,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,5,7,2,6,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,5,2,6,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,3,6,1,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,6,3,5,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,4,3,7,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,2,6,4,7,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,7,6,5,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,8,7,3,6,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,8,7,3,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,7,1,2,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,7,3,2,6,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,8,7,3,2,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,6,8,1,7,5,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,8,4,7,2,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,3,7,6,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,4,7,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,3,7,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,8,4,7,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,8,2,3,7,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,4,2,7,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,4,2,7,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,2,3,7,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,8,4,3,7,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,8,4,3,7,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,8,4,1,2,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,8,1,3,2,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,4,3,2,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,8,4,3,2,1,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,2,8,6,5,4,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,1,4,8,6,2,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,1,8,6,2,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,4,8,3,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,8,3,2,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,5,8,3,2,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,2,8,7,5,4,3]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,4,8,7,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,8,7,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,5,8,7,6,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,4,8,7,6,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,5,8,7,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,4,8,7,2,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,4,8,2,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,8,2,7,6,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,5,8,3,7,1,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,5,8,1,2,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,8,3,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,5,8,3,2,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,4,8,2,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,1,3,8,2,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,4,8,2,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,5,1,8,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,5,3,8,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,4,8,6,5,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,1,3,8,6,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,3,4,8,6,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,5,4,8,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,1,8,7,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,5,4,8,7,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,5,4,8,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,3,8,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,3,4,8,2,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,5,4,8,2,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,4,8,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,5,2,3,8,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,4,2,8,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,1,2,3,8,5,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,6,2,4,3,8,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,4,2,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,5,2,3,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,2,4,3,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,4,3,8,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,1,4,3,2,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,5,4,3,2,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,4,2,6,7,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,4,2,6,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,4,2,6,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,7,3,5,4,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,3,5,4,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,3,5,4,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,2,8,5,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,1,2,7,5,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,3,7,5,4,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,3,6,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,3,2,8,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,4,2,6,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,1,2,8,5,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,4,2,1,5,3,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,4,1,2,6,5,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,3,1,5,6,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,7,4,1,5,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,5,1,6,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,3,1,7,6,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,2,7,5,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,1,3,6,5,4,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,2,6,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,2,8,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,3,1,5,6,7,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,5,3,1,8,6,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,5,6,3,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,4,8,6,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,3,8,1,6,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,3,4,1,6,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,8,2,1,5,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,2,5,1,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,2,5,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,1,4,6,8,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,3,4,7,6,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,4,2,7,5,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,3,7,1,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,5,4,1,8,3,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,4,2,1,5,3,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,7,6,5,4,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,2,8,6,5,4,3,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,1,9,7,6,5,4,3,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,10,9,8,7,6,5,4,1,3]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [9,2,8,7,6,5,4,1,3]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,9,8,7,6,5,4,1,2]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,7,2,6,5,4,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,8,7,6,5,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,7,6,5,3,1,2]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [7,8,6,1,5,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,9,1,7,6,5,4,3,2]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [7,3,8,6,5,4,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,2,9,7,6,5,4,3,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,1,10,8,7,6,5,4,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [4,8,5,7,6,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,7,4,6,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,7,6,3,5,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,6,1,3,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,5,3,2,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,1,5,3,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,7,5,3,2,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,1,4,5,2,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,3,1,5,2,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,6,1,5,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,1,5,4,3,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,2,6,1,4,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,2,1,7,4,3,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,2,1,5,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,8,3,1,5,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,7,5,1,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,1,7,5,2,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,7,1,5,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,6,1,7,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,4,3,2,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,5,7,3,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,1,3,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,6,1,5,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,6,7,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,6,1,8,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,2,5,1,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,1,6,8,2,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,7,1,8,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,3,8,1,2,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,1,8,2,3,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,1,4,8,2,3,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,6,4,7,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,8,1,3,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,1,3,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,7,4,1,2,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,1,7,3,2,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,1,7,3,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,4,3,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,1,8,6,4,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,1,7,4,6,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,1,7,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,8,1,7,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,8,1,2,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,1,8,5,6,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,7,8,3,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,7,3,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,7,3,2,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,4,7,1,2,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,7,4,1,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,8,2,1,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,3,8,1,2,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,3,6,7,1,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,8,7,1,5,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,5,2,3,6,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,5,2,3,1,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,5,2,3,4,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,2,6,8,1,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,2,4,6,8,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,5,7,3,6,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,5,3,6,8,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,4,6,8,1,3,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,1,3,4,6,8,2,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,3,5,2,6,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,5,7,2,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,7,2,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,3,7,2,5,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,1,7,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,1,7,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,3,4,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,1,3,4,6,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,5,7,1,3,6,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,6,7,1,5,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,3,5,1,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,5,7,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,6,4,1,7,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,5,6,7,4,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,6,7,3,4,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,7,1,3,5,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,7,3,4,5,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,7,4,5,8,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,7,4,8,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,6,1,2,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,2,6,1,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,6,7,4,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,3,6,7,4,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,3,6,1,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,6,1,3,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,7,3,5,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,7,2,4,5,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,7,2,8,1,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,2,4,8,1,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,4,6,8,1,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,3,4,6,8,2,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,7,2,4,6,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,7,2,6,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,2,5,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,7,2,8,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,7,2,4,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,4,5,7,3,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,4,5,1,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,1,2,5,6,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,7,5,8,1,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,1,2,5,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,6,2,4,7,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,6,7,3,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,6,1,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,4,6,2,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,4,1,2,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,5,1,2,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,5,1,7,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,2,8,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,7,1,3,4,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,4,7,1,3,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,3,1,7,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,3,2,4,8,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,5,2,6,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,2,1,6,3,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,3,4,1,6,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,3,1,6,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,4,2,1,8,3,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,5,4,2,1,6,8,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,4,5,3,1,6,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,3,5,6,1,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,3,7,4,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,3,1,4,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,3,4,1,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,2,1,5,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,7,3,1,8,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,3,7,8,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,3,7,2,4,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,2,3,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,5,2,8,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,3,2,4,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,2,1,3,8,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,6,3,4,1,2,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,3,2,4,1,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,3,2,5,1,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,3,2,7,8,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,3,2,7,4,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,5,2,7,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,5,2,7,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,2,6,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,5,6,1,2,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,6,2,1,3,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,5,1,2,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,7,4,1,2,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,7,2,4,1,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,4,2,7,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,7,2,1,8,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,2,1,4,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,7,3,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,3,6,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,5,6,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,5,6,1,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,5,6,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,8,6,3,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,8,6,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,8,6,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,3,8,6,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,8,5,6,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,8,6,4,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,7,8,6,4,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,7,8,6,3,4,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,7,8,3,6,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,7,8,1,6,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,7,8,1,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,5,8,6,1,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,8,5,6,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,1,5,6,3,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,5,6,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,8,6,3,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,7,8,3,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,7,8,5,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,7,8,5,6,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,1,7,5,8,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,7,3,8,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,5,3,8,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,5,8,3,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,5,3,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,5,1,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,8,1,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,7,1,8,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,7,1,8,6,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,7,5,3,8,6,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,7,3,1,8,6,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,7,3,8,6,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,8,1,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,8,3,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,5,3,6,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,5,1,6,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,8,3,6,1,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,6,3,1,4,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,8,6,1,3,4,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,1,6,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,1,3,6,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,1,5,6,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,8,3,5,6,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,3,8,5,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,8,5,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,8,3,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,8,6,3,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,1,8,6,3,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,1,6,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,1,6,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,1,3,6,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,8,1,3,6,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,1,8,3,6,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,1,3,8,6,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,1,3,8,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,1,5,8,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,3,5,8,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,3,7,8,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,1,7,8,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,1,7,8,6,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,3,1,5,8,6,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,3,1,8,5,6,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,8,1,5,6,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,3,1,5,6,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,1,3,5,6,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,8,3,5,6,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,3,8,5,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,3,5,8,6,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,5,7,8,6,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,7,3,4,6,8,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,3,4,8,6,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,4,8,1,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,3,4,1,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,4,1,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,4,6,1,2,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,6,1,2,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,3,1,4,6,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,1,4,6,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,3,1,4,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,3,1,4,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,4,1,2,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,4,1,2,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,7,1,4,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,1,4,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,1,2,8,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,3,5,1,2,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,5,1,2,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,8,1,2,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,5,1,2,6,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,1,2,6,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,4,3,5,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,3,8,4,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,7,8,6,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,2,8,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,5,8,3,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,5,1,3,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,4,6,3,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,2,4,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,7,5,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,7,8,3,4,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,4,8,1,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,2,5,3,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,8,2,3,4,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,7,6,2,8,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,1,5,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,4,6,8,5,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,3,6,5,7,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,7,1,4,6,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,6,1,8,3,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,6,3,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,8,4,6,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,8,6,3,1,2,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,8,1,5,6,7,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,2,4,8,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,3,6,7,5,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,1,7,6,3,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,4,5,8,1,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,6,3,2,1,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,7,3,2,1,8,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,7,5,2,3,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,8,1,7,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,2,3,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,3,1,8,7,5,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,1,3,5,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,5,2,3,1,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,6,5,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,1,8,5,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,1,5,6,8,4,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,2,6,4,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,8,2,5,3,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,7,3,6,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,5,7,8,4,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,7,8,3,6,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,1,5,7,2,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,8,1,2,5,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,7,8,6,3,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,7,4,3,2,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,3,4,2,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,5,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,6,7,3,5,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,8,3,7,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,8,3,5,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,7,5,3,4,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,6,3,1,5,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,8,2,5,7,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,2,8,6,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,7,4,8,6,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,7,5,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,8,7,5,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,7,2,8,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,5,8,7,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,8,4,7,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,8,6,5,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,4,8,7,5,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,5,8,7,6,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,2,7,3,8,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,4,7,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,3,8,7,2,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,5,6,2,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,5,2,8,7,6,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,4,2,8,6,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,5,3,2,8,7,6]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,3,5,1,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,5,1,8,7,6,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,4,5,2,8,7,6,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,4,2,8,7,5,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,3,1,8,7,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,2,5,1,8,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,6,2,8,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,7,5,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,3,6,2,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,3,2,7,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,8,2,1,7,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,2,5,1,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,4,1,3,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,8,7,1,3,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,8,2,4,7,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,1,7,2,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,1,2,8,6,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,2,3,8,7,6,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,1,2,8,7,6,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,1,2,8,7,5,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,3,1,7,2,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,8,1,3,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,5,6,8,3,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,4,7,5,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,3,7,5,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,4,5,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,4,7,5,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,7,5,6,3,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,5,2,1,4,3,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,7,6,3,1,4,5,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,6,4,5,1,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,2,6,4,1,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,2,7,3,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,3,8,4,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,7,4,3,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,1,5,4,3,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,8,3,1,5,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,3,8,2,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,7,3,1,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,3,7,2,1,5,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,5,7,1,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,3,1,8,4,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,5,8,6,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,5,1,2,8,3,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,4,1,3,7,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,3,1,7,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,1,7,5,4,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,8,7,6,3,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,1,8,7,4,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,8,5,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,1,7,6,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,7,1,8,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,6,5,4,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,1,8,3,6,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,2,3,4,5,9,6,7]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,1,2,3,4,9,5,6,7]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [8,1,2,9,3,4,5,6,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [8,1,9,2,3,4,5,6,7]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,1,2,3,4,5,8,9,7]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [9,1,2,3,4,5,6,10,7,8]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [5,1,2,3,4,8,9,6,7]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,1,2,3,4,5,10,6,7,8]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [4,1,2,3,8,9,5,6,7]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,1,2,8,9,4,5,6,7]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [9,1,2,3,10,4,5,6,7,8]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [2,1,8,9,3,4,5,6,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,1,2,10,3,4,5,6,7,8]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,5,8,7,2,6,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,2,7,1,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,4,5,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,7,5,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,3,8,5,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,7,5,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,8,2,6,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,3,4,6,8,5,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,2,3,6,1,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,3,7,5,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,3,4,8,7,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,3,4,6,8,1,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,2,8,5,7,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,4,5,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,4,5,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,3,7,5,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,3,6,5,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,7,5,8,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,1,7,3,6,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,7,8,4,6,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,3,7,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,7,3,1,6,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,3,4,8,5,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,3,4,1,8,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,4,1,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,3,4,1,5,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,3,4,8,7,5,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,8,5,3,4,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,4,2,3,5,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,7,4,1,5,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,6,7,5,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,4,6,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,5,4,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,1,4,6,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,8,5,1,7,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,5,7,1,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,1,5,6,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,1,4,5,6,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,4,5,6,1,3,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,5,1,4,6,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,2,5,1,4,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,7,2,5,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,8,5,2,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,4,2,5,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,5,1,2,4,6,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,1,8,5,6,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,1,2,5,6,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,8,7,1,2,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,5,7,1,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,1,5,6,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,8,7,1,6,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,6,7,5,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,6,7,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,6,2,7,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,4,1,2,6,5,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,8,6,7,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,1,8,2,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,7,1,5,6,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,1,5,2,4,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,8,2,4,6,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,2,8,4,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,5,7,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,7,2,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,1,3,5,6,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,1,8,2,3,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,2,3,5,6,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,3,7,4,1,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,6,7,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,2,7,5,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,6,1,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,4,7,5,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,7,4,5,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,4,2,5,6,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,5,1,6,2,3,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,2,4,1,5,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,6,1,7,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,1,8,2,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,6,7,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,4,1,2,5,6,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,2,7,1,6,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,7,1,3,6,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,3,6,7,1,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,2,1,3,5,6,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,8,7,2,3,6,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,2,6,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,7,3,6,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,3,6,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,2,7,6,3,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,7,4,1,5,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,1,7,5,6,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,3,1,5,6,2,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,7,3,5,6,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,1,6,7,5,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,2,1,6,7,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,2,8,6,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,6,7,5,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,3,6,7,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,3,6,7,5,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,7,2,5,6,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,7,5,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,1,2,7,5,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,4,2,6,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,6,7,3,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,2,7,3,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,3,6,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,7,2,6,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,7,2,3,6,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,7,2,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,3,6,7,2,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,2,3,6,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,7,1,2,5,6,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,1,2,3,6,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,5,7,4,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,5,7,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,7,4,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,6,2,4,5,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,6,4,3,5,7,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,8,3,5,4,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,5,8,4,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,7,6,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,1,7,6,3,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,7,6,2,3,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,1,8,6,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,6,4,5,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,5,8,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,6,8,7,5,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,8,7,5,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,5,8,4,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,6,4,2,8,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,3,6,2,5,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,1,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,4,6,3,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,5,2,1,4,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,2,3,1,4,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,6,2,3,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,5,8,3,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,5,8,1,3,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,5,3,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,8,1,3,6,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,1,3,4,6,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,1,4,2,3,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,1,3,2,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,6,1,3,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,2,1,3,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,8,7,2,3,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,8,7,3,1,2,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,3,7,2,5,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,6,8,2,3,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,4,2,8,3,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,2,1,8,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,3,4,1,2,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,4,1,3,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,3,7,1,5,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [9,8,7,6,5,2,3,1,4]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,8,7,6,3,4,2,1,5]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,8,7,4,5,3,2,1,6]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [9,8,5,6,4,3,2,1,7]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,6,7,5,4,3,2,1,8]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,4,2,6,1,5,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,5,6,1,3,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,2,8,1,5,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,7,8,2,5,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,6,4,2,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,3,1,5,6,2,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,5,2,6,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,2,8,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,8,2,6,7,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,8,2,5,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,2,1,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,3,1,8,2,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,7,8,2,6,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,8,5,6,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,7,6,8,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,8,4,6,2,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,4,3,6,7,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,6,4,7,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,8,6,2,7,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,8,6,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,8,6,7,5,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,8,7,2,4,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,7,2,6,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,8,6,7,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,7,8,6,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,4,8,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,4,6,7,2,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,2,8,1,7,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,2,4,3,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,6,2,8,7,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,8,7,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,3,1,8,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,3,6,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,8,6,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,6,7,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,8,5,7,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,6,8,3,7,2,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,6,8,2,7,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,2,6,4,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,4,8,6,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,2,5,7,8,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,7,4,6,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,7,1,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,6,7,1,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,3,6,7,2,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,4,2,5,6,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,2,7,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,8,2,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,1,5,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,5,2,8,6,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,4,1,8,5,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,1,7,8,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,4,8,1,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,4,2,6,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,4,1,6,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,7,1,2,6,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,1,8,2,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,1,8,2,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,1,2,3,8,6,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,4,1,2,7,3,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,6,1,3,4,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,4,5,1,3,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,3,2,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,4,3,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,3,1,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,4,3,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,4,1,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,2,6,5,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,4,2,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,4,1,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,4,3,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,3,1,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,5,4,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,1,6,5,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,2,6,4,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,6,4,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,5,7,4,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,4,3,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,6,1,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,6,3,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,6,1,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,4,1,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,4,3,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,1,3,2,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,7,1,3,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,4,5,1,3,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,5,8,1,3,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,3,2,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,7,1,3,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,1,3,2,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,3,6,2,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,6,5,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,3,1,7,6,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,7,6,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,7,3,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,7,2,3,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,4,6,1,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,6,4,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,6,4,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,6,2,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,6,1,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,6,4,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,6,1,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,3,1,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,6,1,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,3,6,4,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,3,6,1,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,2,7,5,4,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,7,3,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,7,4,3,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,2,7,6,4,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,2,8,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,7,3,1,8,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,2,8,5,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,6,8,4,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,7,2,8,5,4,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,2,7,1,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,3,6,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,4,5,7,8,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,5,6,8,4,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,5,6,8,7,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,5,2,7,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,4,7,5,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,7,8,4,2,6,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,4,1,8,6,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,6,8,5,7,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,5,7,3,1,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,6,2,8,7,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,6,8,1,7,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,6,1,8,7,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,6,3,1,8,7,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,6,2,1,7,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,2,1,7,5,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,1,7,5,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,3,7,6,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,7,3,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,7,1,4,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,5,7,6,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,6,1,7,5,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,2,6,1,7,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,2,1,6,4,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,1,6,2,7,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,3,2,7,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,4,7,5,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,7,4,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,1,7,5,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,6,3,7,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,4,2,1,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,2,6,4,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,1,6,3,7,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,6,3,1,7,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,1,7,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,1,7,4,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,2,7,4,1,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,2,8,6,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,7,1,3,6,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,1,3,7,5,4,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,7,5,2,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,6,2,7,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,6,4,3,1,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,1,6,4,3,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,2,1,6,3,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,2,6,3,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,1,6,2,7,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,4,2,7,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,7,5,4,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,5,4,3,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,6,2,5,4,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,4,3,2,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,1,6,3,2,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,3,1,6,2,7,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,1,7,6,5,4,3,9]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,3,1,6,5,4,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,1,5,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,6,5,8,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,6,5,4,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,8,7,6,5,4,1,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,2,1,8,7,6,5,4,3,10]=>110111110=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [8,3,1,7,6,5,4,9,2]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [8,2,9,1,6,5,4,3,7]=>10101110=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [7,3,2,1,5,4,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,2,8,6,1,4,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,6,8,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,7,6,5,9,1,3]=>10111010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,8,7,2,5,4,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,9,2,7,6,5,4,1,8]=>01011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,2,9,8,7,6,5,4,1,10]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [10,2,1,9,8,7,6,5,4,3,11]=>1101111110=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35) [9,3,1,8,7,6,5,4,10,2]=>110111101=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [9,2,10,1,7,6,5,4,3,8]=>101011110=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [8,4,1,7,6,5,9,3,2]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,3,2,1,6,5,4,7,9]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [8,2,9,7,1,5,4,3,6]=>10110110=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,5,1,6,8,4,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,2,1,5,6,3,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,8,6,5,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,2,6,7,4,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,8,7,6,9,4,1,3]=>10110110=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [4,3,7,2,5,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,2,7,6,5,8,1,9]=>11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [4,2,9,8,7,6,5,10,1,3]=>101111010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [3,9,8,2,6,5,4,1,7]=>01101110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [3,10,2,8,7,6,5,4,1,9]=>010111110=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [3,2,10,9,8,7,6,5,4,1,11]=>1011111110=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [6,7,1,4,3,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,2,6,7,1,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,1,6,5,2,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,6,2,4,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,8,7,2,4,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,8,2,5,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,2,5,4,3,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,6,4,7,1,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,1,6,3,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,8,7,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,5,3,7,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,8,2,7,6,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,3,5,1,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,3,6,1,5,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,8,7,4,6,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,1,7,8,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,8,3,5,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,6,2,1,8,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,6,7,3,5,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,6,2,1,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,7,6,4,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,1,8,4,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,4,8,6,5,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,1,4,7,3,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,4,1,7,3,6,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,7,2,8,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,3,8,2,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,3,8,2,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,4,1,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,2,7,5,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,5,1,3,8,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,6,4,3,8,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,2,4,8,6,5,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,2,8,7,6,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,3,2,7,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,8,5,2,4,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,2,4,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,2,5,7,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,2,5,8,4,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,2,7,8,4,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,1,7,8,4,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,6,4,1,3,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,7,6,3,2,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,2,7,6,3,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,3,1,7,5,2,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,7,5,3,1,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,5,8,2,7,4,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,8,4,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,1,8,4,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,7,3,1,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,8,5,7,4,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,2,1,7,4,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,4,6,2,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,4,8,3,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,1,8,3,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,5,1,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,7,1,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,4,3,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,8,6,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,7,4,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,4,8,3,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,8,5,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,6,4,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,6,4,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,3,1,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,4,3,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,7,1,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,6,2,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,5,3,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,5,1,7,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,5,1,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,7,1,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,1,6,3,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,6,3,4,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,6,4,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,1,6,4,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,8,1,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,1,4,2,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,4,2,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,8,3,7,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,8,2,3,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,6,5,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,4,6,2,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,5,4,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,2,7,1,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,2,3,1,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,8,1,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,3,8,4,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,8,1,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,1,8,3,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,8,7,4,6,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,1,8,7,6,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,5,8,7,6,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,7,8,2,6,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,2,6,8,3,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,8,7,4,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,8,7,2,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,8,4,7,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,7,8,2,5,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,5,2,8,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,8,4,2,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,4,5,2,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,2,5,3,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,4,2,7,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,5,3,8,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,7,5,8,6,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,7,4,8,5,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,4,2,8,5,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,5,2,8,6,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,5,3,8,6,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,2,8,3,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,2,7,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,4,7,2,3,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,8,1,5,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,8,6,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,5,3,7,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,5,2,3,7,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,3,8,2,6,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,2,3,8,6,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,4,5,8,6,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,3,4,8,5,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,4,7,8,5,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,2,7,8,5,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,2,5,8,6,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,8,4,2,5,7,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,8,3,4,6,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,5,8,1,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,4,7,8,5,2,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,8,2,3,4,5,6,9,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,1,7,3,4,5,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,3,4,1,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,8,4,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,3,4,5,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,9,3,4,5,6,7,1]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [8,9,2,3,4,5,6,7,10,1]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,1,8,3,4,5,6,9,2]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [6,8,2,3,4,5,1,9,7]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [6,1,2,7,4,5,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,2,3,1,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,3,8,5,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,7,8,4,5,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,1,9,4,5,6,7,3]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [2,5,8,3,4,1,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,9,3,4,5,6,1,8]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,9,10,3,4,5,6,7,8,1]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [8,1,9,3,4,5,6,7,10,2]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [7,9,2,3,4,5,6,1,10,8]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [7,1,2,8,4,5,6,9,3]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,7,8,3,4,5,2,9,1]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [5,8,2,3,4,1,6,9,7]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [5,6,2,7,4,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,7,3,2,5,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,7,3,8,5,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,1,3,9,5,6,7,4]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,6,1,8,4,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,8,4,3,6,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,8,9,4,5,6,3,1]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [2,9,1,10,4,5,6,7,8,3]=>010100001=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [2,6,9,3,4,5,1,7,8]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,8,10,3,4,5,6,7,1,9]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [3,6,8,4,5,7,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,4,7,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,5,7,8,2,6,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,4,5,7,8,6,1,2]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,4,5,7,6,8,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,7,4,8,5,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,5,6,8,7,1,2]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,4,5,8,7,2,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,5,8,3,6,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,5,8,6,2,3,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,8,1,4,6,2,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,7,4,8,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,6,8,2,7,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,4,5,8,6,2,7,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,5,8,3,4,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,7,2,3,5,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,1,2,3,5,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,6,7,2,3,5,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,7,6,2,3,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,5,7,3,6,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,5,7,3,6,8,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,8,2,3,5,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,8,4,5,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,8,4,5,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,2,3,4,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,8,2,3,7,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,5,7,6,2,8,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,1,4,5,2,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,2,3,4,6,5]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,8,1,2,3,6,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,6,7,2,3,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,5,6,3,8,7,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,1,6,5,3,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,4,3,1,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,3,1,8,7,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,6,3,5,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,1,5,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,5,2,1,8,7,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,6,4,3,8,7,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,1,6,7,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,1,4,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,2,4,3,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,2,4,3,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,2,4,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,8,4,6,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,6,4,8,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,2,8,3,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,5,8,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,8,3,5,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,2,6,3,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,8,5,3,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,6,3,5,8,7,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,6,3,8,7,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,4,3,8,5,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,3,6,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,4,6,5,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,1,4,8,5,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,1,8,7,4,3,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,2,1,8,4,3,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,5,2,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,8,5,2,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,8,5,7,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,8,7,5,2,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,1,4,8,6,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,7,4,5,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,8,6,7,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,6,5,7,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,6,4,5,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,6,2,1,5,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,8,7,2,1,5,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,5,8,2,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,6,8,4,3,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,4,2,1,3,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,8,6,4,7,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,6,2,1,7,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,5,3,1,4,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,4,8,3,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,4,8,3,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,4,3,5,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,2,1,5,3,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,1,4,2,3,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,1,5,3,2,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,3,8,4,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,8,4,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,8,4,3,5,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,4,3,5,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,4,8,3,5,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,1,5,6,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,4,3,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,1,8,4,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,3,8,4,5,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,1,4,8,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,1,3,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,7,8,4,3,2,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,1,8,4,5,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,7,1,8,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,8,4,3,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,7,8,4,3,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,7,4,8,3,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,4,8,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,3,6,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,7,8,6,3,4,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,7,1,8,5,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,7,8,5,3,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,6,7,8,5,3,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,7,8,4,5,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,1,8,4,5,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,2,8,4,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,1,5,6,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,8,1,5,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,2,8,5,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,7,8,4,2,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,2,7,6,5,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,2,4,7,3,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,3,6,4,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,2,6,7,4,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,5,7,3,2,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,1,7,3,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,1,8,3,2,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,1,8,3,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,8,6,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,5,7,8,3,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,8,7,3,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,7,6,2,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,1,7,3,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,6,3,2,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,1,6,3,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,2,3,7,5,4,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,1,5,3,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,5,2,4,1,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,7,3,4,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,3,4,7,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,5,2,4,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,3,5,6,4,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,2,3,5,6,4,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,2,3,5,4,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,8,4,6,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,4,3,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,2,4,3,1,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,1,2,4,5,7,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,7,1,8,6,4,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,4,3,7,5,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,2,6,7,5,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,1,7,6,4,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,2,4,3,1,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,2,4,3,5,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,7,4,6,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,6,5,3,2,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,5,7,3,4,6,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,2,5,3,6,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,2,3,5,4,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,2,3,5,8,4,7]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,2,3,5,7,4,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,2,3,7,6,4,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,2,3,8,6,4,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,6,3,4,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,5,2,4,7,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,2,5,3,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,5,2,3,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,3,7,4,5,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,7,3,2,5,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,3,1,2,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,3,1,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,4,5,8,6,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,3,4,5,7,1,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,3,4,6,8,5,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,3,2,8,6,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,4,5,1,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,2,6,7,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,5,6,7,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,2,4,6,7,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,1,3,4,2,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,4,3,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,6,8,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,1,8,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,2,3,8,5,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,6,4,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,1,4,8,5,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,3,7,8,5,4,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,2,3,8,4,5,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,6,8,4,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,5,7,1,4,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,8,3,5,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,3,6,7,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,8,4,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,8,4,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,8,3,5,2,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,3,2,4,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,3,5,6,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,2,3,1,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,7,4,8,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,2,1,4,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,5,2,8,4,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,2,4,1,8,7,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,2,3,4,8,5,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,3,1,4,2,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,4,1,8,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,7,4,8,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,7,4,2,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,4,1,5,6,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,2,4,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,1,6,3,7,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,4,2,1,6,3,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,3,5,2,7,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,3,8,7,6,4,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,2,4,8,1,3,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,8,7,5,6,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,6,7,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,6,5,7,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,5,4,8,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,8,3,4,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,1,7,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,8,7,4,3,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,6,3,8,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,3,4,6,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,4,3,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,8,1,3,6,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,8,1,4,6,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,5,4,6,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,4,6,3,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,4,1,2,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,3,6,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,3,6,5,2,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,4,7,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,1,4,6,7,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,2,5,1,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,2,5,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,3,5,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,1,4,6,5,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,3,4,5,7,6,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,1,5,2,4,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,8,5,2,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,5,1,3,6,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,5,7,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,2,8,5,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,8,2,3,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,7,2,1,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,3,5,1,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,5,8,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,8,4,2,6,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,4,1,6,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,4,6,1,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,1,4,7,8,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,3,7,4,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,6,7,4,8,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,8,6,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,8,2,6,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,8,6,2,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,8,5,6,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,8,4,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,3,8,2,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,7,2,8,6,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,3,8,5,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,7,5,1,4,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,7,8,4,6,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,7,8,4,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,8,2,4,6,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,8,4,3,7,6,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,4,8,6,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,4,8,7,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,8,2,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,3,8,6,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,6,8,4,7,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,3,1,8,7,5,4,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,8,1,7,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,4,1,7,6,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,4,1,8,6,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,5,4,1,7,6,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,8,2,5,6,3,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,4,5,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,5,6,2,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,7,4,3,5,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,5,2,3,7,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,2,5,3,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,4,3,5,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,8,3,2,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,8,4,1,5,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,1,2,6,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,7,4,3,2,8,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,2,6,4,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,4,6,2,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,5,7,1,4,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,4,3,8,1,7,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,6,8,5,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,8,3,6,5,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,5,4,6,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,5,8,3,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,7,3,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,7,4,1,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,5,8,4,1,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,8,4,6,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,2,8,3,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,8,5,4,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,5,7,8,1,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,4,2,6,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,5,7,3,8,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,7,5,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,7,8,5,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,4,8,7,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,2,1,8,7,3,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,5,3,7,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,5,3,8,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,2,3,8,7,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,1,2,3,8,6,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,4,2,3,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,4,2,6,3,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,3,8,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [9,8,7,6,5,4,3,1,2,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,7,6,5,4,2,1,3,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,9,8,7,6,5,3,2,4]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,8,7,6,2,5,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,9,8,7,6,5,2,4,3]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,10,9,8,7,6,5,4,2,3]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [2,1,9,8,7,6,5,4,3]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,2,9,8,7,6,5,4,3]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [3,2,1,9,8,7,6,5,4]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,3,2,9,8,7,6,5,4]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,3,9,8,7,6,5,4]=>00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [4,3,2,1,9,8,7,6,5]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,4,3,2,9,8,7,6,5]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,1,4,3,9,8,7,6,5]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,2,4,3,9,8,7,6,5]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [1,2,3,4,9,8,7,6,5]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [1,5,4,3,2,9,8,7,6]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,1,5,4,3,9,8,7,6]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [1,2,5,4,3,9,8,7,6]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [1,3,2,5,4,9,8,7,6]=>01010111=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,2,3,5,4,9,8,7,6]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [1,2,3,4,5,9,8,7,6]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,3,2,6,5,4,9,8,7]=>01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [1,2,3,6,5,4,9,8,7]=>00011011=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [2,1,4,3,6,5,9,8,7]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [1,2,4,3,6,5,9,8,7]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [1,2,3,4,6,5,9,8,7]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [1,2,3,5,4,7,6,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,2,3,4,5,7,6,9,8]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,10,9,8,7,6,5,4,3]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [3,2,1,10,9,8,7,6,5,4]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,3,2,10,9,8,7,6,5,4]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,2,3,10,9,8,7,6,5,4]=>000111111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,4,3,2,10,9,8,7,6,5]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,2,4,3,10,9,8,7,6,5]=>001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,2,3,4,10,9,8,7,6,5]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,5,4,3,2,10,9,8,7,6]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [2,1,5,4,3,10,9,8,7,6]=>101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [1,2,5,4,3,10,9,8,7,6]=>001101111=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [1,3,2,5,4,10,9,8,7,6]=>010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,3,5,4,10,9,8,7,6]=>000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [1,2,6,5,4,3,10,9,8,7]=>001110111=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [3,2,1,6,5,4,10,9,8,7]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [1,3,2,6,5,4,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,2,3,6,5,4,10,9,8,7]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [1,2,4,3,6,5,10,9,8,7]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,3,4,6,5,10,9,8,7]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [1,2,3,4,5,6,10,9,8,7]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,4,3,2,7,6,5,10,9,8]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,1,4,3,7,6,5,10,9,8]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [1,2,4,3,7,6,5,10,9,8]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [1,2,3,4,7,6,5,10,9,8]=>000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [1,3,2,5,4,7,6,10,9,8]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,2,3,5,4,7,6,10,9,8]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,3,4,5,7,6,10,9,8]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,2,3,4,5,6,7,10,9,8]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,4,3,6,5,8,7,10,9]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,2,3,4,6,5,8,7,10,9]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,3,4,5,6,8,7,10,9]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [5,2,7,4,1,6,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,1,5,6,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,3,4,1,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,4,5,6,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,8,4,2,6,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,3,8,5,2,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,3,7,5,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,3,4,8,6,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,3,2,1,6,5,4]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,6,3,1,5,2,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,1,7,2,3,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [9,8,7,6,5,2,1,4,3]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,8,7,3,2,1,6,5,4]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,8,7,6,3,1,5,2,4]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,4,3,2,1,8,7,6,5]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,8,4,3,1,7,6,2,5]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,8,7,2,1,4,3,6,5]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,8,7,4,1,6,2,3,5]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,4,3,1,9,8,7,2,6]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [9,5,2,1,8,4,3,7,6]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,8,3,1,5,2,7,4,6]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [6,3,1,9,5,2,8,4,7]=>11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [6,5,1,9,8,2,3,4,7]=>11011000=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [9,2,1,4,3,6,5,8,7]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [9,6,1,8,2,3,4,5,7]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,1,7,2,9,3,4,6,8]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [7,1,9,2,3,4,5,6,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [10,9,8,7,6,5,2,1,4,3]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [10,9,8,7,3,2,1,6,5,4]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [10,9,8,7,6,3,1,5,2,4]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,4,3,2,1,8,7,6,5]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,9,8,4,3,1,7,6,2,5]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [10,9,8,7,2,1,4,3,6,5]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [10,9,8,7,4,1,6,2,3,5]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [10,5,4,3,1,9,8,7,2,6]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [10,9,5,2,1,8,4,3,7,6]=>111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [10,9,5,4,1,8,7,2,3,6]=>111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [10,9,8,3,1,5,2,7,4,6]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,5,2,1,10,9,4,3,8,7]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [6,5,4,1,10,9,8,2,3,7]=>111011100=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [10,3,2,1,6,5,4,9,8,7]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [10,6,5,1,9,8,2,3,4,7]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [10,9,2,1,4,3,6,5,8,7]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [10,9,6,1,8,2,3,4,5,7]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [4,3,1,7,6,2,10,9,5,8]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,2,1,10,4,3,6,5,9,8]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,4,1,10,6,2,9,3,5,8]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [7,6,1,10,9,2,3,4,5,8]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,5,1,7,2,9,3,4,6,8]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,7,1,9,2,3,4,5,6,8]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [4,1,6,2,8,3,10,5,7,9]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,1,8,2,10,3,4,5,7,9]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [8,1,10,2,3,4,5,6,7,9]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,4,8,5,3,7,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,8,5,3,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,6,3,1,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,6,8,2,1,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,1,5,8,2,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,5,3,2,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,1,5,2,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,2,1,8,7,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,6,2,1,7,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,6,2,7,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,4,6,3,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,6,3,7,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,2,1,7,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,5,6,7,3,4,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,5,6,7,3,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,1,6,8,7,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,1,8,7,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,3,8,6,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,2,6,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,6,7,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,8,6,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,8,6,1,7,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,6,1,8,7,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,1,6,8,7,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,6,8,7,1,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,4,6,2,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,1,6,7,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,6,1,7,8,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,6,1,7,3,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,6,7,4,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,6,7,4,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,5,6,7,4,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,5,1,6,7,4,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,6,1,7,3,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,8,7,4,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,4,2,7,8,5,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,4,8,7,5,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,4,8,7,5,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,6,2,4,7,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,6,2,4,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,2,1,4,8,3,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,1,7,8,5,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,1,2,4,8,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,1,3,4,8,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,6,3,4,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,6,3,4,7,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,2,5,4,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,2,5,4,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,5,4,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,6,3,4,7,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,6,1,4,7,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,1,5,4,8,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,5,4,8,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,7,5,4,8,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,4,7,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,7,5,4,8,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,3,2,4,7,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,2,5,4,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,7,5,4,8,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,5,4,8,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,4,7,3,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,8,4,7,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,4,7,3,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,3,7,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,5,6,2,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,2,4,7,3,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,5,4,7,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,4,7,3,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,5,4,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,3,1,4,7,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,2,7,5,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,4,1,7,2,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,7,4,6,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,2,7,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,2,7,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,3,1,7,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,3,5,4,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,5,4,7,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,3,4,6,8,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,5,4,7,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,5,4,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,4,7,8,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,7,6,4,3,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,4,5,2,7,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,8,6,4,3,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,2,5,1,6,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,6,5,2,1,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,6,5,2,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,6,5,2,1,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,8,6,4,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,4,2,8,1,3,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,2,6,4,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,2,5,1,8,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,2,1,4,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,8,6,3,1,4,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,3,5,8,1,4,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,6,8,1,5,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,8,5,2,7,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,5,2,1,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,7,6,3,1,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,8,7,6,3,1,5,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,5,8,7,6,3,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,4,8,1,6,5,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,3,6,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,5,2,1,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,2,5,1,3,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,6,8,1,4,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,8,6,3,1,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,3,8,5,2,1,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,6,1,8,4,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,3,1,4,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,3,5,2,1,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,1,3,7,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,8,1,7,3,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,1,4,7,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,5,8,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,5,8,1,2,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,6,1,2,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,8,1,6,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,5,8,6,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,4,5,1,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,7,6,2,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,5,1,6,2,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,8,7,5,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,1,8,7,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,7,1,2,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,8,7,1,2,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,1,2,7,3,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,1,8,2,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,7,2,8,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,7,2,3,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,8,7,4,1,2,3]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,8,5,7,4,1,2,3]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,8,1,5,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,7,5,3,6,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,2,3,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,8,3,4,6,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,7,2,3,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,2,1,5,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,2,3,1,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,7,4,1,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,7,1,4,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,8,1,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,3,4,7,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,2,7,5,1,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,3,1,8,4,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,3,7,8,1,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,2,7,4,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,2,7,6,8,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,1,8,7,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,6,4,7,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,4,2,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,2,3,7,8,6,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,1,8,2,5,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,4,7,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,3,8,4,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,1,5,3,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,6,4,1,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,4,1,7,6,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,4,7,8,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,5,1,7,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,5,2,1,6,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,3,7,8,1,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,3,1,7,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,1,5,2,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,7,1,6,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,7,4,2,6,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,1,4,7,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,3,2,5,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,3,1,5,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,4,2,1,5,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,3,2,1,4,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,1,7,3,2,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,2,1,8,3,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,8,1,6,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,1,6,5,8,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,8,5,7,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,1,7,4,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,2,1,7,5,3,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,2,1,8,6,3,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,2,7,6,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,8,6,1,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,2,8,7,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,8,1,7,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,7,2,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,1,5,8,4,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,2,5,8,1,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,2,5,7,1,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,1,6,2,7,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,1,7,2,8,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,3,1,7,8,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,2,1,7,8,5,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,1,4,8,7,5,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,1,4,6,8,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,2,1,6,7,8,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,1,4,5,7,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,6,4,5,7,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,8,3,7,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,8,5,4,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,6,3,7,4,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,6,5,7,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,4,3,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,2,7,3,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,2,8,3,6,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,8,4,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,8,4,3,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,3,7,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,2,7,3,1,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,7,1,2,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,3,8,1,2,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,3,8,4,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,2,8,5,1,6,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,4,3,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,3,8,4,2,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,2,7,3,1,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,4,8,2,3,5,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,8,1,2,5,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,7,8,4,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,7,8,4,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,1,6,3,8,7,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,1,7,8,2,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,1,7,8,4,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,1,7,3,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,7,8,4,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,5,4,3,2,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,6,1,3,5,2,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,6,5,7,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,5,7,6,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,6,2,5,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,3,5,2,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,7,4,2,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,8,7,5,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,1,8,5,3,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,4,8,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,2,7,1,4,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,6,1,3,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,2,1,3,8,4,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,7,6,3,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,1,5,6,3,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,7,5,6,1,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,5,6,3,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,1,7,6,2,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,7,1,4,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,6,1,3,4,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,2,1,6,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,5,6,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,5,7,1,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,4,5,3,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,7,1,3,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,5,7,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,4,3,2,6,7,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,5,6,2,4,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,6,2,4,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,8,1,3,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,5,2,8,6,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,7,8,6,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,7,6,2,8,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,6,1,2,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,1,2,8,6,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,2,1,6,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,2,6,8,4,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,3,2,7,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,2,7,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,7,8,3,1,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,2,8,4,3,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,8,6,3,4,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,8,4,3,2,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,8,1,7,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,7,8,4,2,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,1,8,4,3,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,8,4,2,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,8,3,1,6,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,1,2,6,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,8,1,5,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,8,3,2,6,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,8,6,2,4,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,7,8,4,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,8,3,4,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,7,2,1,6,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,1,6,3,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,2,1,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,2,5,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,5,2,6,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,5,8,3,6,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,8,1,2,6,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,1,3,5,2,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,1,2,6,4,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,6,1,3,4,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,6,1,3,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,5,2,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,3,6,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,3,7,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,8,3,2,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,1,7,8,4,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,1,5,4,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,5,1,7,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,7,5,6,8,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,7,6,5,8,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,5,2,4,6,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,1,7,4,2,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,4,8,1,2,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,7,8,1,4,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,5,7,1,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,8,2,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,3,8,4,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,3,4,6,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,4,1,3,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,5,8,3,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,7,4,8,1,2,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,3,1,6,8,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,3,1,8,6,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,4,3,1,5,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,1,2,3,5,7,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,8,1,2,4,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,5,1,3,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,5,4,6,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,5,2,7,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,6,4,1,2,5,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,7,1,3,5,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,2,3,6,8,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,3,2,7,6,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,6,7,5,8,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,5,7,6,1,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,4,5,7,8,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,5,1,6,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,1,3,6,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,6,1,3,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,5,7,1,4,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,4,6,8,1,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,2,8,4,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,6,4,1,8,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,8,4,1,5,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,5,4,2,1,6,3]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,5,8,6,7,4,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,8,1,6,7,3,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,5,1,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,2,1,6,7,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,2,8,6,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,1,2,5,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,5,8,2,3,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,6,4,5,8,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,2,4,6,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,6,1,5,8,2,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,5,1,4,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,6,1,4,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,8,4,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,1,4,3,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,7,5,8,2,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,1,5,7,3,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,4,8,1,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,3,8,6,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,7,1,2,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,5,8,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,4,2,6,7,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,8,7,2,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,1,6,8,3,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,7,6,8,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,7,2,6,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,2,3,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,1,6,3,5,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,1,7,3,5,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,5,3,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,1,2,7,8,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,3,2,4,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,1,2,4,6,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,3,4,7,2,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,8,1,2,7,4,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,1,2,4,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,3,8,7,2,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,7,4,8,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,6,8,2,3,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,8,1,7,2,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,8,1,7,3,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,5,8,2,3,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,3,2,7,5,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,2,8,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,7,3,8,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,7,3,6,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,2,8,6,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,3,8,7,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,7,8,4,2,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,8,7,4,2,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,7,2,8,3,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,7,8,5,3,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,7,4,8,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,7,5,3,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,2,7,3,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,6,3,5,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,4,3,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,2,4,3,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,2,7,3,5,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,2,4,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,2,4,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,8,2,4,5,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,7,2,4,5,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,1,4,2,3,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,1,7,2,5,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,6,1,2,3,5,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,3,1,6,2,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,4,7,1,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,4,1,8,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,2,7,1,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,7,5,3,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,7,3,6,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,8,2,4,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,8,7,3,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,5,2,7,4,3,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,5,2,7,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,1,8,3,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,5,4,8,3,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,5,1,2,6,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,3,2,7,1,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,6,2,3,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,1,3,2,7,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,4,7,5,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,8,7,4,5,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,8,5,2,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,7,4,6,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,7,8,2,3,5,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,6,2,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,1,3,5,2,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,3,2,4,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,6,5,3,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,7,6,5,2,3,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,8,6,4,3,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,7,6,5,3,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,6,1,3,5,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,5,4,6,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,6,1,2,5,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,1,7,6,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,7,8,5,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,4,3,1,8,6,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,6,2,7,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,2,5,6,1,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,4,1,7,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,3,6,7,5,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,3,8,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,2,4,5,8,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,5,3,1,6,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,5,8,3,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,7,8,3,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,7,8,3,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,6,4,7,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,4,5,8,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,5,3,1,8,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,4,7,8,3,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,4,7,8,1,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,7,1,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,6,7,1,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,4,7,8,1,2,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,6,4,1,7,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,2,1,5,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,4,5,2,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,4,7,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,7,2,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,3,4,2,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,2,1,3,7,8,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,1,7,3,8,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,7,3,8,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,4,7,8,5,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,2,1,7,8,5,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,2,7,3,1,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,4,7,8,1,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,7,3,1,8,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,5,1,3,2,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,7,8,3,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,7,1,2,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,1,2,5,4,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,6,1,5,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,6,4,1,3,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,6,4,5,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,5,7,4,2,3,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,8,7,1,6,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,7,8,1,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,8,7,4,1,2,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,3,8,4,1,2,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,1,2,7,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,1,2,7,4,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,8,4,1,3,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,4,7,1,6,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,8,7,3,6,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,7,5,6,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,8,5,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,8,7,5,1,2,3]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,5,2,4,6,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,1,8,4,6,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,7,2,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,7,8,5,6,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,6,8,5,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,7,8,5,1,3,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,7,8,1,6,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,7,8,2,6,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,3,4,1,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,4,1,2,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,1,5,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,3,2,7,6,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,3,1,8,6,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,2,8,6,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,8,6,1,4,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,5,6,1,4,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,1,5,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,3,7,6,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,8,5,3,2,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,4,8,5,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,4,8,5,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,8,6,5,2,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,8,7,5,6,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,3,2,8,6,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,1,3,8,6,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,2,8,6,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,1,3,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,5,4,1,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,4,8,5,6,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,7,2,4,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,5,1,2,3,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,3,1,2,8,5,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,7,6,2,1,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,6,5,7,1,3,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,1,4,5,8,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,4,1,6,3,5,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,7,6,4,1,8,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,5,2,1,3,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,2,3,6,4,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,3,7,1,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,2,4,8,3,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,2,4,8,6,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,1,5,4,8,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,3,2,1,8,5,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,7,2,5,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,6,1,2,5,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,6,1,3,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,7,4,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,6,4,2,3,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,3,1,6,5,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,1,2,5,7,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,5,4,2,7,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,3,1,2,4,5,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,6,8,7,3,1,5,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,3,7,8,4,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,8,7,5,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,7,4,8,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,2,1,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,2,6,8,1,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,5,6,3,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,2,4,7,8,3,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,4,2,8,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,3,8,4,2,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,8,7,3,5,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,8,4,3,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,7,4,1,2,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,6,8,1,7,3,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,8,7,4,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,6,8,2,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,8,4,3,1,2,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,8,3,6,7,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,1,3,7,4,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,3,7,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,2,7,1,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,3,6,4,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,3,4,7,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,1,8,4,2,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,5,2,7,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,6,5,4,8,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,8,4,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,7,4,3,5,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,7,8,4,6,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,2,8,4,6,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,8,2,4,3,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,8,1,5,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,3,1,7,5,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,1,4,6,8,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,3,8,7,1,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,1,8,5,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,4,3,6,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,5,4,1,2,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,7,5,6,3,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,5,8,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,7,3,4,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,4,5,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,1,4,8,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,3,1,4,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,1,3,6,4,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,3,5,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,2,4,8,5,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,1,3,4,5,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,3,5,4,2,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,6,5,3,2,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,6,4,3,2,8,7]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,7,1,4,6,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,3,6,4,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,1,7,5,8,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,7,5,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,2,1,5,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [9,1,8,7,6,5,4,3,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,6,8,1,5,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,9,8,6,5,4,3,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [6,1,9,8,7,5,4,3,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [5,4,8,7,6,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,9,8,7,6,4,3,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [4,1,9,8,7,6,5,3,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [3,1,9,8,7,6,5,4,2]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [10,1,9,8,7,6,5,4,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,8,1,7,6,5,4,3,2]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [7,6,1,8,5,4,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,9,1,6,5,4,3,2]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [8,1,10,9,7,6,5,4,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [6,5,8,1,7,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,9,8,1,5,4,3,2]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [7,1,10,9,8,6,5,4,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [6,5,9,8,7,1,4,3,2]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [6,1,10,9,8,7,5,4,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [6,5,8,7,4,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,4,9,8,7,6,1,3,2]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [5,1,10,9,8,7,6,4,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [4,3,9,8,7,6,5,1,2]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,1,10,9,8,7,6,5,3,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,2,9,8,7,6,5,4,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [3,1,10,9,8,7,6,5,4,2]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,6,4,8,3,2,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,3,5,6,2,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,8,5,6,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,8,5,3,7,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,4,8,2,3,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,2,5,6,1,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,2,5,4,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,1,2,3,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,4,2,5,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,2,1,3,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,3,8,5,7,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,6,2,1,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,4,2,3,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,5,2,4,1,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,6,1,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,8,2,3,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,3,1,5,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,4,5,1,8,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,4,1,3,7,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,6,1,8,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,5,4,7,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,8,3,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,5,3,8,7,6,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,1,8,2,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,3,1,7,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,2,8,1,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,2,1,8,7,6,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,2,7,8,1,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,2,8,7,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,3,7,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,3,7,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,8,2,7,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,2,8,7,5,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,2,7,4,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,7,2,3,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,7,2,8,3,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,7,2,1,8,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,7,2,1,3,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,1,7,8,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,1,7,2,4,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,7,8,3,4,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,6,8,7,3,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,6,7,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,6,8,7,5,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,1,6,7,4,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,1,7,8,4,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,8,1,7,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,6,1,7,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,7,1,8,3,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,7,1,3,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,7,1,3,2,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,7,3,1,2,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,7,3,8,1,2,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,6,8,7,4,2,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,6,7,3,8,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,6,2,3,5,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,8,6,3,2,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,4,1,6,3,8,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,3,1,5,8,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,2,5,7,3,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,5,7,6,3,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,5,6,1,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,5,8,6,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,7,6,1,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,1,6,8,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,5,1,2,7,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,2,5,1,4,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,4,1,3,2,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,2,3,6,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,8,3,7,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,8,2,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,1,8,5,3,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,1,3,5,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,5,4,7,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,4,3,7,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,7,2,5,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,6,5,8,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,7,5,6,8,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,7,2,8,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,7,6,8,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,8,6,4,7,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,4,6,3,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,6,5,3,7,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,5,3,6,7,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,5,2,7,6,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,5,3,1,8,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,3,6,8,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,6,1,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,5,7,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,6,7,8,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,6,5,7,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,5,2,6,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,6,8,7,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,4,3,1,2,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,1,4,3,2,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,5,1,4,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,4,5,2,1,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,1,3,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,4,2,3,8,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,2,6,7,3,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,3,8,6,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,1,3,5,6,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,8,3,1,5,6,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,8,5,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,3,5,6,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,7,8,3,4,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,7,8,3,4,6,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,1,5,8,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,7,8,2,5,6,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,7,8,5,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,7,5,8,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,5,8,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,7,1,8,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,8,1,4,6,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,7,8,4,6,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,8,4,1,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,8,1,4,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,7,1,8,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,7,8,4,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,3,7,8,4,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,2,1,4,5,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,2,5,1,3,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,2,5,1,3,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,1,7,3,2,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,8,1,7,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,2,7,3,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,2,3,7,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,2,7,4,5,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,1,7,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,3,8,1,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,8,3,7,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,4,6,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,8,4,3,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,3,2,7,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,3,8,2,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,8,2,7,1,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,8,2,6,1,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,8,3,7,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,8,3,7,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,4,6,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,4,1,6,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,8,1,6,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,8,1,6,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,1,6,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,5,4,8,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,8,1,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,8,4,2,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,4,2,1,5,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,3,8,4,1,5,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,4,2,8,1,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,5,2,7,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,5,2,6,1,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,8,5,3,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,8,4,1,5,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,4,3,1,5,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,1,7,5,6,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,4,3,8,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,3,8,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,2,6,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,4,1,6,7,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,7,5,2,8,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,4,3,2,8,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,7,5,3,8,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,4,8,2,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,7,5,3,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,2,1,6,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,4,3,8,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,4,8,1,2,5,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,5,8,1,2,4,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,8,3,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,1,2,5,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,3,4,8,2,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,2,3,4,8,1,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,8,2,1,5,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,5,8,2,4,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,5,8,3,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,8,1,5,7,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,7,6,1,4,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,4,8,2,3,5,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,8,1,3,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,7,5,1,3,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,1,4,8,2,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,7,4,8,1,3,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,5,8,4,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,8,2,1,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,4,8,1,2,3,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,6,3,4,8,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,3,6,5,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,4,7,2,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,7,3,4,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,2,3,5,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,6,2,3,7,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,3,4,7,5,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,4,7,6,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,3,6,5,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,8,1,7,5,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,6,7,2,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,3,8,4,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,7,4,3,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,8,5,4,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,1,5,7,2,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,1,7,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,6,8,7,4,2,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,5,7,6,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,4,8,5,7,6,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,5,7,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,6,5,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,2,8,5,3,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,8,6,3,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,6,7,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,7,5,4,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,8,7,5,6,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,6,7,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,8,6,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,1,8,5,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,3,2,6,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,8,2,6,1,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,4,1,5,6,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,1,4,5,6,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,1,2,6,3,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,5,1,4,6,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,4,5,1,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,4,1,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,8,1,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,5,1,6,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,1,4,6,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,4,8,2,6,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,1,4,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,8,1,5,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,2,8,1,5,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,5,8,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,1,8,4,5,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,8,5,3,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,7,8,5,4,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,5,7,8,4,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,5,6,8,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,8,4,5,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,4,8,6,5,3,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,1,8,6,5,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,1,8,6,5,3,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,7,8,5,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,7,8,5,1,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,3,8,5,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,2,8,5,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,2,8,7,5,3,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,2,8,7,5,3,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,6,8,5,4,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,1,8,5,3,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,6,8,4,5,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,6,5,8,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,7,1,8,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,6,1,8,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,7,1,5,8,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,3,8,5,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,2,8,4,5,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,1,5,8,4,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,6,1,8,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [9,10,7,8,5,6,2,1,3,4]=>010101100=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [9,10,7,8,4,3,5,6,1,2]=>010110010=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [9,10,7,8,4,2,5,1,3,6]=>010110100=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [9,10,7,8,3,2,1,4,5,6]=>010111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [9,10,6,5,7,8,3,4,1,2]=>011001010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [9,10,6,5,7,8,2,1,3,4]=>011001100=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [9,10,6,4,7,3,5,8,1,2]=>011010010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [9,10,6,4,7,2,5,1,3,8]=>011010100=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [9,10,6,3,7,2,1,4,5,8]=>011011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [9,10,5,4,3,6,7,8,1,2]=>011100010=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [9,10,5,4,2,6,7,1,3,8]=>011100100=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [9,10,5,3,2,6,1,4,7,8]=>011101000=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [9,10,4,3,2,1,5,6,7,8]=>011110000=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [8,7,9,10,5,6,3,4,1,2]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [8,7,9,10,5,6,2,1,3,4]=>100101100=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [8,7,9,10,4,3,5,6,1,2]=>100110010=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [8,7,9,10,4,2,5,1,3,6]=>100110100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,7,9,10,3,2,1,4,5,6]=>100111000=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [8,6,9,5,7,10,3,4,1,2]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,6,9,5,7,10,2,1,3,4]=>101001100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [8,6,9,4,7,3,5,10,1,2]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,6,9,3,7,2,1,4,5,10]=>101011000=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [8,5,9,4,3,6,7,10,1,2]=>101100010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [8,5,9,4,2,6,7,1,3,10]=>101100100=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [8,5,9,3,2,6,1,4,7,10]=>101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [8,4,9,3,2,1,5,6,7,10]=>101110000=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [7,6,5,8,9,10,3,4,1,2]=>110001010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,6,5,8,9,10,2,1,3,4]=>110001100=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [7,6,4,8,9,3,5,10,1,2]=>110010010=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [7,6,4,8,9,2,5,1,3,10]=>110010100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [7,6,3,8,9,2,1,4,5,10]=>110011000=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [7,5,4,8,3,6,9,10,1,2]=>110100010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,5,4,8,2,6,9,1,3,10]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [7,4,3,8,2,1,5,6,9,10]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [6,5,4,3,7,8,9,10,1,2]=>111000010=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [6,5,4,2,7,8,9,1,3,10]=>111000100=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [6,5,3,2,7,8,1,4,9,10]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [10,8,11,6,9,4,7,2,5,1,3,12]=>10101010100=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [9,8,6,10,11,4,7,2,5,1,3,12]=>11001010100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [9,7,6,10,4,8,11,2,5,1,3,12]=>11010010100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [9,7,5,10,4,8,2,6,11,1,3,12]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [9,7,5,10,3,8,2,6,1,4,11,12]=>11010101000=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42) [7,1,6,5,3,2,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,7,5,3,2,4,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,8,7,4,2,5,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,4,2,5,3,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,6,4,2,5,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,5,4,7,1,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,5,3,6,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,1,6,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,4,2,7,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,3,8,7,4,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,2,8,6,3,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,1,8,7,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,5,3,8,7,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,7,5,4,6,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,1,8,7,5,4,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,8,7,4,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,4,2,1,8,6,3,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,3,5,7,4,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,6,3,5,7,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,8,5,2,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,3,7,4,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,6,4,7,5,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,8,6,3,7,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,4,1,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,2,6,3,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,8,7,4,2,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,3,7,4,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,6,3,2,4,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,3,2,4,7,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,1,8,6,3,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,8,7,5,3,2,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,3,2,8,7,6,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,5,1,3,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,6,3,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,5,8,6,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,4,2,5,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,3,1,7,4,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,2,5,3,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,1,8,7,4,2,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,8,7,5,3,2,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,6,4,1,3,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,8,6,3,2,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,2,8,6,3,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,3,1,8,5,2,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,2,6,3,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,8,5,2,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,5,2,7,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,2,7,4,6,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,6,3,1,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,1,7,4,8,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,3,1,5,7,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,1,7,5,8,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,1,7,5,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,5,2,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,2,1,7,4,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,4,6,3,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,2,1,4,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,6,2,1,4,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,7,8,1,4,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,8,5,7,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,7,5,8,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,8,7,4,3,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,5,7,8,4,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,7,4,8,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,8,3,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,7,3,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,2,4,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,2,4,1,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,2,4,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,2,7,6,5,10,9,8,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,4,3,6,5,2,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,4,3,7,6,2,10,9,8,5]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,5,4,7,6,3,10,9,8,2]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,4,3,8,7,2,10,9,6,5]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,5,4,8,7,3,10,9,6,2]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,3,1,6,5,4,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,3,1,7,6,5,10,9,8,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,4,1,6,5,3,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,4,1,7,6,3,10,9,8,5]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,5,1,7,6,4,10,9,8,3]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,4,1,8,7,3,10,9,6,5]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,5,1,8,7,4,10,9,6,3]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,4,2,6,5,1,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,4,2,7,6,1,10,9,8,5]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,5,2,7,6,1,10,9,8,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,5,3,7,6,2,10,9,8,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,4,2,8,7,1,10,9,6,5]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,5,2,8,7,1,10,9,6,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,5,3,8,7,2,10,9,6,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,5,1,6,4,3,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,5,1,7,4,3,10,9,8,6]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,6,1,7,5,4,10,9,8,3]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,5,1,8,4,3,10,9,7,6]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,6,1,8,5,4,10,9,7,3]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,5,2,6,4,1,10,9,8,7]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,5,2,7,4,1,10,9,8,6]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,6,2,7,5,1,10,9,8,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,6,3,7,5,2,10,9,8,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,5,2,8,4,1,10,9,7,6]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,6,2,8,5,1,10,9,7,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,6,3,8,5,2,10,9,7,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,7,2,8,6,1,10,9,5,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,7,3,8,6,2,10,9,5,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,5,1,9,4,3,10,8,7,6]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,6,1,9,5,4,10,8,7,3]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,5,2,9,4,1,10,8,7,6]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,6,2,9,5,1,10,8,7,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,6,3,9,5,2,10,8,7,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,7,2,9,6,1,10,8,5,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,2,8,4,1,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,4,8,1,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,4,8,1,7,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,4,8,1,2,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,5,8,1,2,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,5,4,2,3,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,4,8,1,2,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,8,1,2,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,3,8,1,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,8,1,6,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,8,7,1,2,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,3,8,7,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,3,8,1,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,8,4,1,7,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,7,4,2,6,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,3,8,6,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,5,8,6,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,5,6,1,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,7,5,6,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,5,7,1,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,6,8,7,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,5,8,7,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,5,6,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,6,7,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,2,7,6,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,8,7,6,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,8,7,5,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,7,8,1,6,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,5,7,6,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,8,7,6,1,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,4,6,5,8,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,7,8,5,1,2,4]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,8,7,5,1,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,8,6,7,5,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,6,5,1,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,6,4,8,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,8,7,5,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,7,4,1,3,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,8,7,1,3,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,1,3,2,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,2,7,6,8,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,1,4,5,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,1,8,7,3,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,6,3,2,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,1,8,7,3,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,2,3,5,4,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,1,4,8,7,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,5,2,8,7,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,2,8,6,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,8,1,5,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,2,3,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,2,1,8,6,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,6,1,7,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,6,3,5,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,1,6,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,8,1,4,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,6,4,7,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,7,4,1,8,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,4,6,8,2,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,8,2,6,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,6,5,4,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,2,6,1,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,7,2,3,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,8,4,6,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,6,7,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,4,3,6,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,4,6,1,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,6,3,2,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,3,8,5,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,7,4,8,5,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,1,6,3,2,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,6,2,7,4,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,1,4,5,2,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,4,8,5,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,2,4,6,7,5,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,1,3,6,7,5,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,5,2,3,8,6,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,2,4,1,3,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,1,8,6,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,3,2,8,5,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,5,7,6,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,4,2,3,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,6,1,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,4,6,5,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,6,1,5,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,1,4,5,7,6,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,5,1,6,8,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,5,7,3,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,4,7,3,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,6,5,8,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,5,1,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,3,7,4,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,5,6,4,7,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,1,6,4,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,8,3,2,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,7,4,2,1,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,6,8,3,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,8,4,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,6,1,8,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,3,4,6,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,8,2,5,6,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,3,1,6,4,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,2,4,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,4,2,3,6,1,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,1,5,4,2,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,1,5,2,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,5,4,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,2,5,3,1,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,8,7,1,4,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,6,2,4,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,2,7,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,2,8,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,4,1,7,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,4,3,5,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,7,2,3,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,3,5,1,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,3,1,4,8,2,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,8,2,7,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,1,6,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,4,3,8,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,4,3,8,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,7,4,8,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,1,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,4,1,6,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,5,1,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,7,3,2,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,2,1,6,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,5,3,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,1,6,2,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,5,2,8,4,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,3,8,1,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,1,5,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,3,2,8,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,8,4,1,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,4,2,8,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,3,4,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,1,3,7,4,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,6,1,5,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,3,7,5,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,5,6,1,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,1,3,8,5,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,7,1,5,2,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,8,4,2,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,7,1,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,2,8,1,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,3,7,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,2,1,5,8,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,1,5,8,3,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,2,6,4,8,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,7,3,8,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,3,7,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,3,1,5,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,7,4,8,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,8,4,5,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,4,5,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,7,1,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,7,3,1,6,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,7,2,8,6,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,1,7,2,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,7,2,8,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,2,1,5,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,7,1,3,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,1,5,7,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,7,1,5,8,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,3,7,4,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,7,4,8,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,5,2,7,6,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,1,3,7,6,4,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,1,4,3,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,1,5,8,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,7,1,4,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,2,1,8,5,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,5,3,1,8,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,1,4,2,8,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,4,1,3,8,6,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,3,2,1,7,6,4,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,2,8,1,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,3,2,8,1,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,2,4,8,3,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,6,4,8,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,5,3,8,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,5,3,6,4,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,2,3,7,5,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,6,3,2,7,5,4,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,3,2,7,1,6,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,6,1,5,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,7,4,3,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,7,2,4,6,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,6,7,1,3,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,6,1,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,8,4,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,8,3,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,8,1,4,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,4,1,3,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,8,3,2,1,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,7,2,1,6,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,1,4,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,8,2,1,5,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,4,8,1,3,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,4,8,2,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,4,1,8,3,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,8,4,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,5,7,3,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,8,3,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,2,7,8,3,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,1,8,6,4,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,8,4,7,5,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,7,3,5,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,7,6,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,1,4,7,5,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,8,1,6,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,8,1,5,3,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,8,6,2,5,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,1,3,6,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,7,2,1,6,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,7,1,6,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,1,5,4,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,7,6,1,3,5,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,2,6,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,7,5,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,6,5,1,2,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,8,4,3,1,2,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,8,6,4,3,2,1,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,7,3,6,4,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,4,2,5,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,5,4,2,8,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,3,5,4,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,2,5,4,7,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,3,4,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,6,3,4,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,7,5,8,6,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,7,1,5,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,7,4,8,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,6,7,4,8,5,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,7,6,5,3,1,8,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,6,1,4,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,6,5,2,1,8,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,3,6,2,4,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,4,2,1,3,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,1,5,4,7,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,6,1,4,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,2,6,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,1,2,3,6,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,4,1,2,5,3,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,6,3,8,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,6,5,2,8,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,6,5,1,2,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,2,6,1,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,6,8,3,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,5,8,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [9,1,2,3,4,5,6,8,7]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [10,1,2,3,4,5,6,7,9,8]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [9,1,2,3,4,5,7,8,6]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,3,4,5,6,9,7,8,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,3,4,5,6,7,8,10,9,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [9,2,1,8,7,6,5,4,3]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,2,10,9,8,7,6,5,4,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,9,2,8,7,6,5,4,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,2,9,8,7,6,5,3,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [5,2,8,7,6,4,3,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [8,2,7,6,1,5,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [9,2,8,1,7,6,5,4,3]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [8,4,1,7,6,5,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [9,3,1,8,7,6,5,4,2]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [10,2,1,9,8,7,6,5,4,3]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,5,6,2,3,8,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,3,2,7,8,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,7,3,8,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,7,2,4,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,4,5,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,1,5,2,4,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,6,1,5,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,7,5,8,1,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,4,7,8,2,5,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,7,4,8,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,6,4,1,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,4,8,6,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,5,4,1,2,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,4,3,1,7,8,2,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,6,2,8,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,7,5,8,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,4,1,3,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,6,8,4,7,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,3,7,6,5,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,1,7,5,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,4,3,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,5,1,7,2,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,1,3,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,3,6,2,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,7,4,2,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,2,3,5,6,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,3,1,6,7,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,3,1,5,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,4,1,2,7,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,7,2,3,6,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,2,1,8,4,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,7,4,1,8,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,1,3,2,7,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,5,1,3,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,5,6,7,1,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,5,4,7,6,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,1,5,8,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,6,2,3,5,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,5,3,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,3,8,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,7,2,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,4,6,1,5,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,4,5,7,1,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,8,3,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,6,2,4,5,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,6,5,8,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,5,8,6,1,4,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,3,8,6,1,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,1,2,8,3,5,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,3,7,4,6,8,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,7,1,4,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,5,3,8,7,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,2,4,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,7,1,8,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,2,7,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,5,3,8,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,7,1,4,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,3,7,6,8,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,3,6,8,7,4,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,3,7,8,4,6,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,6,8,4,7,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,3,7,8,6,4,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,2,8,3,7,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,3,7,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,8,6,5,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,4,8,7,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,8,7,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,3,8,5,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,8,6,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,8,3,7,4,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,3,7,5,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,8,3,7,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,8,6,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,4,8,7,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,3,8,6,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,7,8,4,5,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,8,5,4,7,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,5,6,4,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,8,6,4,7,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,6,5,8,3,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,7,8,4,5,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,7,8,5,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,6,4,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,8,6,5,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,8,6,7,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,8,7,5,4,6,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,2,7,4,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,6,3,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,8,4,5,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,8,4,6,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,5,6,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,6,8,5,7,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,6,8,7,2,5,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,5,8,6,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,5,7,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,4,5,6,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,5,8,4,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,4,6,8,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,5,8,4,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,8,4,5,7,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,7,1,3,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,1,3,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,1,7,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,2,5,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,4,1,2,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,1,3,4,8,6,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,5,1,2,4,8,6,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,4,2,3,7,1,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,3,8,1,2,5,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,2,3,8,1,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,5,2,8,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,6,3,7,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,2,7,4,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,1,2,3,6,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,7,1,2,4,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,7,1,3,4,6,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,2,7,1,3,5,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,5,6,1,2,4,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,5,8,1,2,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,4,8,1,3,5,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,8,1,2,4,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,8,1,2,5,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,7,2,4,8,1,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,8,1,2,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,3,7,1,2,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,7,8,2,3,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,2,8,6,3,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,1,6,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,8,5,2,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,7,5,2,3,4,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,1,3,7,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,1,6,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,8,2,5,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,2,7,1,4,5,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,1,3,5,6,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,7,1,2,4,6,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,7,1,2,3,6,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,1,2,4,6,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,7,1,3,4,6,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,8,6,2,3,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,6,4,1,2,3,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,8,4,1,2,5,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,1,2,6,5,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,8,2,7,5,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,3,4,7,2,5,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,2,1,6,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,7,5,4,3,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,8,7,5,4,3,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,1,7,3,6,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,1,5,7,4,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,3,7,4,1,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,8,7,5,6,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,8,7,4,1,5,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,7,3,8,6,4,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,3,7,6,4,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,1,4,6,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,7,5,2,1,8,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,4,5,7,8,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,3,1,4,6,2,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,2,4,7,6,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,1,2,6,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,1,2,6,7,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,7,8,2,6,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,8,7,6,5,3,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,1,2,4,6,8,7,5]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,1,8,4,5,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,8,5,4,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,1,5,3,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,5,7,6,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,1,6,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,5,2,7,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,5,6,1,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,8,1,2,6,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,8,5,2,1,6,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,2,8,4,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,1,7,4,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,7,5,1,6,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,6,7,5,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,4,6,7,2,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,4,8,7,5,2,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,2,4,1,7,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,4,2,3,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,1,4,2,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,4,3,7,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,4,7,8,5,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,7,4,3,8,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,7,4,3,6,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,1,3,8,2,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,3,1,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,2,1,3,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,4,1,8,3,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,8,4,2,3,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,1,3,8,2,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,3,4,2,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,4,3,6,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,4,5,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,4,6,5,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,3,7,5,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,3,6,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,4,2,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,3,7,2,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,4,3,6,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,8,5,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,7,3,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,6,4,3,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,5,8,4,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,3,5,8,7,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,5,4,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,3,4,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,4,2,3,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,4,5,6,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,3,5,7,8,1,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,8,6,5,4,2,1,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,3,1,4,2,8,7,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,8,1,2,6,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,4,5,3,2,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,4,2,6,5,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,4,8,6,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,1,8,4,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,1,5,7,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,2,5,7,4,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,4,2,6,5,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,1,6,5,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,3,6,4,8,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,6,4,5,8,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,2,4,5,1,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,5,4,8,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,5,4,8,6,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,1,8,7,5,3,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,3,7,4,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,4,2,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,3,1,8,4,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,4,8,6,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,7,4,8,6,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,7,4,5,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,7,4,5,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,4,8,6,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,3,6,1,4,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,3,6,8,2,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,3,7,4,8,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,8,4,1,6,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,8,4,5,1,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,3,8,4,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,8,1,4,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,1,2,5,6,7,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,7,8,4,1,6,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,3,1,2,5,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,1,4,5,2,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,3,1,5,4,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,2,1,5,4,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,2,6,1,3,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,6,5,1,4,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,8,1,7,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,2,7,4,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,2,3,7,5,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,5,4,8,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,1,8,4,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,7,3,1,8,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,3,7,1,5,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,7,3,8,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,8,4,3,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,2,6,7,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,4,8,1,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,8,3,1,7,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,3,2,1,7,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,3,7,2,6,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,8,2,1,6,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,3,7,2,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,8,1,7,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,7,4,6,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,4,8,1,5,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,7,1,8,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,6,3,8,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,7,6,4,8,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,5,4,8,7,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,7,2,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,3,8,7,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,1,8,6,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,5,4,2,1,7,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,6,5,2,7,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,8,7,5,4,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,6,5,4,3,1,7]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,4,2,6,3,1,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,2,1,3,4,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,5,2,7,3,1,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,6,5,2,8,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,2,3,4,8,5,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,5,3,1,4,2,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,1,5,3,8,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,3,5,8,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,6,4,2,8,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,7,6,4,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,8,7,4,3,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,3,7,2,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,7,4,2,1,5,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,8,2,3,5,1,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,6,3,1,4,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,6,3,2,4,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,1,4,8,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,7,5,4,8,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,5,8,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,1,5,8,3,4,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,7,5,1,3,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,2,6,1,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,2,6,8,3,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,2,8,1,4,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,8,1,3,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,8,4,5,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,3,8,4,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,8,1,5,6,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,8,1,5,2,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,8,4,1,2,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,1,2,5,3,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,4,3,5,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,6,5,7,8,9,10,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,3,5,6,4,7,8,9,1]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,3,6,4,5,7,8,9,1]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,1,2,4,5,3,6,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [10,1,2,3,5,4,6,7,8,9]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [5,8,7,4,6,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,6,3,5,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,7,6,5,2,4,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,9,6,8,5,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [5,8,4,7,6,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,9,8,5,7,4,3,2,1]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [6,8,5,4,7,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,9,8,7,4,6,3,2,1]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,8,7,6,2,5,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,9,8,7,6,3,5,2,1]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [4,8,7,6,3,2,5,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,9,8,7,6,5,2,4,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,8,7,6,5,2,1,4]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,6,9,7,4,5,2,3,1]=>10110101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,6,9,4,7,5,2,3,1]=>10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,6,9,4,7,2,5,3,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [8,6,9,4,7,3,5,1,2]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,6,9,5,7,3,4,1,2]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,7,9,5,6,3,4,1,2]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,7,10,8,5,6,3,4,1,2]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,6,4,9,7,5,2,3,1]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [9,7,10,5,8,6,3,4,1,2]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,6,9,4,2,7,5,3,1]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,7,10,5,8,3,6,4,1,2]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [8,6,9,4,7,2,1,5,3]=>10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [7,5,8,4,6,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,9,4,7,3,5,2,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [9,7,10,5,8,3,6,2,4,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,6,9,5,7,2,4,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,7,10,5,8,4,6,2,3,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,6,8,2,5,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,9,4,6,3,5,1,2]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,7,10,6,8,4,5,2,3,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,6,8,5,7,3,4,1,2]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,8,10,6,7,4,5,2,3,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,5,2,4,7,6,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,4,7,2,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,4,7,6,1,2,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,4,7,6,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,4,6,1,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,4,6,1,2,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,7,4,6,2,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,7,4,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,7,6,4,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,7,2,6,4,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,7,6,2,4,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,6,1,2,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,6,1,4,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,6,4,1,2,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,7,2,6,1,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,2,7,6,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,6,4,1,8,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,7,5,4,1,8,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,5,4,1,8,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,7,5,1,4,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,5,1,4,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,7,1,2,6,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,7,2,1,6,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,2,7,1,6,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,7,2,1,6,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,1,6,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,1,4,6,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,7,1,4,6,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,7,1,4,2,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,7,2,1,4,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,2,7,1,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,5,7,4,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,2,7,4,1,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,4,2,1,6,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,5,7,4,1,2,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,4,7,1,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,4,7,1,2,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,4,7,2,1,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,4,2,7,1,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,4,7,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,7,2,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,7,1,2,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,3,1,8,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,7,6,3,1,8,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,7,4,1,2,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,7,4,2,1,8,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,5,7,4,1,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,5,7,1,4,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,2,7,1,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,7,2,1,4,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,7,1,4,2,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,2,1,8,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,7,2,5,1,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,5,1,8,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,7,5,1,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,2,5,1,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,2,1,8,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,2,5,7,4,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,2,7,4,1,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,7,5,8,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,3,6,8,4,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,8,3,4,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,7,2,4,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,2,6,7,1,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,8,7,2,1,6,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,4,5,6,7,9,2,8]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,4,5,6,7,1,9,8]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,1,4,5,6,7,8,9,3]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [3,1,4,5,6,7,8,2,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [5,8,3,4,1,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,2,4,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,4,1,7,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,5,6,8,1,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,6,4,1,8,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,7,4,1,8,6,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,8,4,1,7,6,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,7,6,1,5,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,8,7,6,1,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,8,2,4,1,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,8,1,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,5,8,1,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,4,1,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,2,6,5,1,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,6,8,1,5,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,5,6,1,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,8,6,7,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,8,7,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,7,1,5,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,3,2,5,6,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,8,1,5,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,2,7,5,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,2,8,5,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,4,1,8,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,5,7,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,7,1,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,1,8,7,4,3,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,4,6,3,5,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,4,1,6,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,4,1,5,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,7,6,8,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,2,3,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,5,3,4,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,4,6,8,7,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,6,8,3,4,5,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,7,4,8,6,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,6,7,8,1,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,2,7,3,5,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,1,8,3,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,8,7,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,4,2,1,3,6,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,1,3,2,5,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,2,3,1,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,2,6,8,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,4,3,8,5,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,7,2,1,5,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,2,4,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,7,3,2,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,6,7,4,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,7,4,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,7,3,4,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,3,5,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,5,6,7,1,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,7,8,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,8,5,1,4,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,2,8,6,5,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,1,6,8,7,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,2,1,3,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,8,7,4,1,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,7,5,2,6,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,4,5,1,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,4,2,5,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,4,2,5,1,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,4,5,2,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,4,8,6,7,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,6,2,1,3,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,1,5,6,7,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,6,5,1,7,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,5,2,4,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,2,4,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,2,4,6,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,2,4,6,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,3,2,4,7,6,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,3,2,7,4,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,3,2,1,4,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,7,3,2,4,1,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,2,5,4,1,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,3,2,4,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,2,7,4,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,2,5,4,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,2,5,4,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,3,5,2,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,3,7,2,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,7,5,1,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,5,1,2,4,6,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,7,3,1,2,4,6,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,3,7,2,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,2,7,4,1,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,4,7,1,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,1,4,7,6,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,2,1,7,4,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,2,7,5,4,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,2,5,4,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,1,2,5,4,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,1,2,7,4,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,1,2,4,7,6,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,5,1,4,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,1,5,2,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,7,5,2,4,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,1,3,2,4,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,7,1,3,2,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,1,5,2,4,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,1,2,5,4,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,2,1,5,4,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,1,7,5,4,6,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,2,7,5,4,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,7,2,5,4,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,5,2,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,5,3,2,4,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,5,3,2,4,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,3,4,5,7,9,6,8]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,2,3,4,6,9,5,7,8]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,5,9,4,6,7,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,4,9,3,5,6,7,8]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,3,9,2,4,5,6,7,8]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,9,8,7,6,2,5,4,3]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,9,8,7,1,6,5,4,3]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,9,8,2,7,6,5,4,3]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,9,2,8,7,6,5,4,3]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,9,8,7,6,5,2,1,4]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,10,9,8,7,6,5,2,4,3]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [4,9,8,7,6,1,2,5,3]=>01111001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [1,10,9,8,7,6,2,5,4,3]=>011111011=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [1,8,7,4,2,6,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,9,8,7,1,2,6,4,3]=>01110011=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [2,10,9,8,7,1,6,5,4,3]=>011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,8,5,1,7,6,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,9,8,2,1,7,5,4,3]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,10,9,8,2,7,6,5,4,3]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [6,8,5,1,2,7,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,9,1,2,8,6,5,4,3]=>01001111=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [1,10,9,2,8,7,6,5,4,3]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [8,1,2,9,7,6,5,4,3]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,10,1,9,8,7,6,5,4,3]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,10,9,8,7,6,5,2,1,4]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,9,8,7,6,3,2,5,4]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,10,9,8,7,6,1,2,5,3]=>011111001=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [1,9,8,7,4,2,6,5,3]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [4,9,8,7,6,3,2,1,5]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [5,10,9,8,7,1,2,6,4,3]=>011110011=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33) [2,8,1,4,7,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,9,8,5,1,7,6,4,3]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,9,8,7,4,1,2,6,3]=>01111001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [6,10,9,8,2,1,7,5,4,3]=>011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [1,9,6,2,8,7,5,4,3]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,8,7,4,3,2,6,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,9,8,5,1,2,7,4,3]=>01110011=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [7,10,9,1,2,8,6,5,4,3]=>011001111=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33) [1,7,2,9,8,6,5,4,3]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,8,5,4,2,7,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,9,6,2,1,8,5,4,3]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,10,1,2,9,7,6,5,4,3]=>010011111=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [8,7,1,2,9,6,5,4,3]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [9,2,1,10,8,7,6,5,4,3]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [7,5,3,4,2,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,6,2,4,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,6,3,7,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,6,2,7,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,3,4,1,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,2,3,6,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,6,4,8,2,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,4,8,2,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,4,8,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,5,1,6,4,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,4,8,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,5,4,8,6,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,5,4,8,6,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,1,4,8,7,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,4,2,8,7,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,2,4,8,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,4,8,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,6,4,8,7,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,4,1,8,7,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,6,4,5,8,7,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,6,4,3,8,5,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,3,4,5,8,2,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,1,4,5,3,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,1,3,5,4,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,3,2,5,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,2,8,5,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,5,8,2,4,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,5,8,3,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,4,3,8,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,3,8,5,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,1,5,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,5,6,3,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,6,5,1,4,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,6,5,3,8,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,1,4,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,3,5,4,8,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,4,5,8,1,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,4,8,3,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,6,4,8,3,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,1,4,7,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,1,3,4,5,8,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,1,3,2,4,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,1,5,3,4,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,1,5,4,3,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,4,5,8,3,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,5,8,1,3,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,8,7,2,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,5,6,8,2,1,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,1,5,3,7,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,6,3,1,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,8,1,7,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,5,6,3,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,3,1,7,2,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,3,5,2,7,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,4,7,3,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,1,8,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,5,3,2,7,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,3,7,1,2,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,1,2,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,2,4,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,1,7,4,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,3,4,2,6,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,1,4,2,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,2,3,7,1,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,3,7,5,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,2,1,3,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,2,1,7,4,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,4,7,6,5,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,2,7,1,5,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,2,7,1,3,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,7,1,8,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,2,3,6,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,1,7,2,5,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,3,4,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,1,7,5,4,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,3,2,6,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,1,3,2,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,2,5,3,8,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,3,5,1,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,5,1,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,6,7,1,4,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,6,7,4,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,3,5,8,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,6,4,1,5,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,1,6,7,4,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,5,7,2,3,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,1,4,7,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,1,6,4,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,4,8,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,2,8,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,3,6,1,8,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,3,1,6,8,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,3,8,6,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,8,2,3,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,7,2,4,5,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,5,2,3,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,3,1,6,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,8,1,3,6,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,1,8,3,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,4,8,6,3,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,8,2,5,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,2,4,7,5,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,8,2,3,5,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,8,4,1,5,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,8,1,4,5,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,6,8,4,5,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,1,4,6,7,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,6,2,3,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,6,7,3,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,4,5,1,3,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,7,5,3,4,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,2,3,8,4,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,7,5,8,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,5,8,3,4,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,3,8,7,4,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,7,3,5,8,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,3,7,1,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,3,1,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,2,3,6,5,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,3,6,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,4,3,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,1,3,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,5,3,8,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,3,7,1,2,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,1,3,6,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,5,1,7,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,5,7,2,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,7,6,8,1,2,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,6,2,5,8,7,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,2,4,6,1,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,1,6,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,3,6,5,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,3,5,7,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,8,6,5,7,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,2,6,5,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,4,2,5,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,4,7,3,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,3,8,4,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,3,4,8,2,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,3,4,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,8,5,2,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,2,7,3,1,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,8,2,4,5,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,8,5,1,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,3,7,6,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,7,8,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,3,7,8,5,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,6,5,7,8,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,6,7,5,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,7,8,5,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,6,7,8,1,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,1,8,3,6,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,5,7,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,3,8,7,6,4,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,8,5,6,1,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,8,1,7,6,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,6,8,5,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,8,5,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,3,1,7,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,5,8,7,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,8,2,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,4,8,2,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,3,8,2,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,8,1,3,7,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,1,4,2,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,4,3,7,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,4,2,5,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,7,8,5,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,5,3,1,7,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,7,6,3,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,2,7,6,3,1,5,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,7,5,2,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,1,8,7,5,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,3,1,7,5,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,7,6,3,1,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,3,1,8,4,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,4,2,1,8,3,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,8,2,7,6,4,3,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,5,7,6,4,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,4,2,5,7,6,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,2,4,8,6,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,5,2,4,6,3,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,2,4,6,3,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,8,6,3,7,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,5,2,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,6,4,7,5,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,2,7,5,3,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,2,1,8,3,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,2,6,3,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,7,4,1,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,8,7,4,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,4,1,5,2,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,1,5,2,8,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,3,1,4,2,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,2,8,6,3,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,5,2,6,3,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,5,2,1,3,6,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,5,2,1,3,6,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,5,2,1,3,8,6,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,7,6,5,8,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,4,7,5,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,8,7,5,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,4,7,5,2,1,3,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,4,7,5,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,1,4,8,7,5,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,6,3,1,4,7,5,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,7,6,3,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,2,5,7,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,8,2,6,4,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,2,1,6,4,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,8,7,4,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,7,4,1,5,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,1,6,3,5,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,8,6,3,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,3,1,7,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,7,5,2,1,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,6,4,7,5,3,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,5,2,7,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,5,2,8,7,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,5,2,7,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,7,3,5,2,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,4,2,6,3,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,2,6,3,5,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,5,8,1,6,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,3,7,4,2,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,6,8,1,5,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,6,1,5,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,2,7,1,5,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,8,3,1,5,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,7,2,8,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,2,8,6,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,3,8,1,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,5,2,4,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,2,8,1,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,6,5,3,1,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,3,1,7,2,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,2,4,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,6,2,3,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,3,6,5,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,3,4,2,8,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,2,5,7,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,4,3,5,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,4,1,3,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,5,3,1,7,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,2,1,5,7,6,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,4,3,6,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,3,1,8,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,4,6,3,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,1,3,6,5,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,5,7,4,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,5,7,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,2,7,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,5,3,8,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,5,8,3,4,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,3,8,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,4,7,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,7,5,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,8,7,4,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,2,8,5,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,8,7,3,5,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,7,6,3,5,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,5,7,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,6,8,5,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,8,6,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,7,5,6,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,7,6,4,5,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,7,6,5,3,4,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,6,7,2,5,3,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,7,8,1,6,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,6,8,7,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,8,4,2,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,3,7,1,5,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,3,8,1,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,8,4,1,7,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,7,1,2,8,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,1,8,2,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,4,1,2,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,7,1,2,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,5,6,3,2,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,8,3,5,2,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,3,7,2,4,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,2,4,8,5,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,8,5,4,3,2,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,6,8,7,4,3,5,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,6,7,8,4,3,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,5,8,4,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,8,4,5,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,2,1,5,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,1,4,7,3,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,5,3,6,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,6,7,3,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,8,6,7,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,8,4,7,1,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,3,6,8,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,7,6,4,8,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,7,5,6,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,6,5,7,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,4,2,1,8,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,6,7,4,2,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,4,8,2,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,6,3,2,7,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,5,6,3,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,7,5,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,8,6,5,3,2,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,2,4,6,5,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,8,2,6,4,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,5,4,6,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,5,3,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,3,2,1,5,6,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,2,6,7,3,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,2,8,5,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,1,8,4,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,2,1,6,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,6,1,4,5,3,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,8,1,2,3,7,5,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,2,3,6,5,4,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,8,4,7,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,4,6,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,5,4,6,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,5,1,6,4,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,5,4,6,1,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,5,4,6,3,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,5,4,6,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,8,4,7,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,2,7,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,4,1,6,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,8,1,7,6,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,8,4,7,1,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,4,7,3,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,1,7,8,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,4,8,7,5,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,4,3,7,8,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,3,4,8,6,5,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,1,3,8,4,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,4,2,7,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,3,7,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,1,7,8,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,3,4,8,6,5,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,3,1,8,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,4,1,6,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,4,3,8,5,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,6,1,4,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,6,3,4,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,1,5,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,3,8,1,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,3,8,5,6,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,4,8,7,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,4,7,6,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,8,1,6,7,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,1,3,5,8,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,3,2,5,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,3,8,2,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,1,8,5,4,2,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,6,5,8,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,1,6,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,6,4,8,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,5,8,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,7,4,8,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,7,4,8,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,1,6,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,1,5,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,2,6,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,1,6,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,5,2,3,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,7,8,6,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,2,8,3,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,2,1,4,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,4,1,6,5,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,4,3,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,2,4,1,3,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,7,6,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,7,5,8,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,7,3,8,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,6,8,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,2,5,7,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,4,3,8,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,3,4,7,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,7,6,2,3,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,1,5,3,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,7,6,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,5,2,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,5,1,4,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,5,4,2,3,7,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,2,4,3,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,1,3,5,6,4,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,1,3,5,4,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,3,4,6,7,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,1,3,4,2,6,5,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,4,2,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,3,2,5,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,4,5,3,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,4,3,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [10,2,1,4,3,6,5,8,7,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,2,1,4,3,6,5,7,9,8]=>110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [10,2,1,4,3,5,7,8,6,9]=>110100010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [10,2,1,4,3,5,7,6,9,8]=>110100101=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [10,2,1,4,3,5,6,8,9,7]=>110100001=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [10,2,1,3,5,6,4,8,7,9]=>110001010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [10,2,1,3,5,6,4,7,9,8]=>110001001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33) [10,2,1,3,5,4,7,8,6,9]=>110010010=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [10,2,1,3,5,4,7,6,9,8]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [10,2,1,3,5,4,6,8,9,7]=>110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [10,2,1,3,4,6,7,8,5,9]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [10,2,1,3,4,6,7,5,9,8]=>110000101=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34) [10,2,1,3,4,6,5,8,9,7]=>110001001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33) [10,2,1,3,4,5,7,8,9,6]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [10,1,3,4,2,6,5,8,7,9]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [10,1,3,4,2,6,5,7,9,8]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,3,4,2,5,7,8,6,9]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [10,1,3,4,2,5,7,6,9,8]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [10,1,3,4,2,5,6,8,9,7]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [10,1,3,2,5,6,4,8,7,9]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,3,2,5,6,4,7,9,8]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [10,1,3,2,5,4,7,8,6,9]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [10,1,3,2,5,4,7,6,9,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [10,1,3,2,5,4,6,8,9,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [10,1,3,2,4,6,7,8,5,9]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [10,1,3,2,4,6,7,5,9,8]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [10,1,3,2,4,6,5,8,9,7]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [10,1,3,2,4,5,7,8,9,6]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [10,1,2,4,5,6,3,8,7,9]=>100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [10,1,2,4,5,6,3,7,9,8]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [10,1,2,4,5,3,7,8,6,9]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [10,1,2,4,5,3,7,6,9,8]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [10,1,2,4,5,3,6,8,9,7]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [10,1,2,4,3,6,7,8,5,9]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [10,1,2,4,3,6,7,5,9,8]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [10,1,2,4,3,6,5,8,9,7]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,2,4,3,5,7,8,9,6]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [10,1,2,3,5,6,7,8,4,9]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [10,1,2,3,5,6,7,4,9,8]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [10,1,2,3,5,6,4,8,9,7]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [10,1,2,3,5,4,7,8,9,6]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [10,1,2,3,4,6,7,8,9,5]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [12,2,1,4,3,6,5,8,7,10,9,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [12,1,2,3,4,6,7,8,9,10,5,11]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [6,5,3,8,4,2,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,5,1,6,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,5,6,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,4,1,3,5,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,6,8,4,7,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,6,1,5,7,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,7,5,8,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,4,7,8,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,6,7,8,1,5,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,6,8,1,7,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,4,3,8,6,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,7,8,3,5,6,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,7,6,1,8,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,6,8,1,7,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,2,1,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,2,5,8,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,3,7,5,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,4,2,3,6,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,5,3,2,1,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,8,3,4,2,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,2,3,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,8,3,2,7,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,3,7,2,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,4,7,1,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,4,8,1,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,3,8,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,3,2,1,8,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,3,7,2,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,6,5,8,7,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,2,8,4,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,7,4,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,2,7,3,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,2,8,3,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,3,4,8,7,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,3,4,8,7,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,1,2,8,3,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,2,7,3,6,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,3,8,4,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,3,7,4,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,1,2,3,4,7,6]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,2,8,3,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,2,3,5,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,7,2,3,5,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,8,2,4,5,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,8,7,5,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,2,7,4,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,2,3,5,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,2,3,5,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,7,2,3,5,6,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,3,7,4,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,7,3,4,5,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,7,2,4,5,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,1,2,3,4,6,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,6,1,2,3,4,7,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,1,6,2,3,5,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,6,2,4,5,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,4,6,3,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,7,5,1,4,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,5,7,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,4,6,8,5,7,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,5,7,4,8,6,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,6,3,7,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,7,1,8,6,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,8,5,2,4,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,7,1,8,4,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,3,1,4,2,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,4,2,6,7,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,8,5,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,7,8,5,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,2,6,7,8,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,1,6,7,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,1,7,5,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,5,3,1,7,4,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,8,7,1,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,6,8,1,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,3,2,6,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,7,3,1,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,2,3,5,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,6,7,8,4,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,4,8,5,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,1,4,5,7,2,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,7,8,9,2,3,4,5]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [6,7,8,9,1,2,3,4,5,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [6,7,8,1,2,3,4,5,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,7,8,9,2,3,4,5,6]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,7,8,9,10,2,3,4,5,6]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,6,7,8,9,1,2,3,4,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [5,6,7,1,8,2,3,4,9]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [4,6,7,8,1,2,3,5,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,6,7,8,2,9,3,4,5]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [1,5,7,8,9,2,3,4,6]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,6,7,8,9,10,2,3,4,5]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,6,2,3,5,1,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,4,5,7,3,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,3,8,7,5,4,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,3,7,5,4,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,6,3,5,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,5,2,4,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,4,1,5,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,6,5,3,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,6,1,5,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,6,5,4,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,2,5,7,4,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,1,7,5,4,2,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,2,7,4,1,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,3,8,7,5,4,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,6,1,8,7,5,4,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,1,5,7,6,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,2,8,7,6,4,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,4,8,2,7,6,5,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,8,7,1,6,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,3,5,7,6,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,1,8,5,7,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,7,1,4,5,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,7,3,4,6,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,7,2,6,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,8,2,4,7,6,5,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,3,7,4,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,3,7,1,6,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,7,1,3,6,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,7,2,6,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,5,2,4,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,3,7,4,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,8,5,7,6,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,4,3,7,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,7,3,5,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,7,4,3,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,7,3,1,5,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,1,5,7,6,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,2,1,8,7,5,4,3]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,1,8,2,7,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,7,3,5,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,2,7,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,7,2,4,6,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,4,1,7,6,5,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,8,3,7,6,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,1,7,6,5,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,8,7,2,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,1,3,7,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,5,4,1,7,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,4,8,7,6,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,1,4,3,7,6,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,1,3,7,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,8,1,7,6,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,8,6,3,2,1,7,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,7,6,3,2,4,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,7,2,4,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,3,2,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,1,3,2,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,1,3,2,4,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,1,3,2,4,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,8,2,1,4,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,2,5,4,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,1,2,5,7,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,2,3,8,6,4,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,6,4,2,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,4,8,2,3,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,2,3,5,6,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,8,2,3,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,2,6,8,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,8,1,5,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,5,4,1,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,4,2,1,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,3,2,8,5,6,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,3,6,8,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,6,5,2,3,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,6,8,7,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,4,2,1,8,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,7,6,3,2,8,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,8,1,7,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,2,3,7,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,8,3,4,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,2,8,5,3,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,2,6,1,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,6,1,5,2,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,6,2,5,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,6,5,8,4,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,6,2,8,4,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,8,5,1,2,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,5,8,4,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,1,8,4,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,2,6,3,5,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,3,4,5,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,5,7,8,4,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,1,2,7,8,5,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,3,1,2,6,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,6,1,5,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,5,6,4,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,6,4,7,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,7,5,8,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,1,3,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,1,4,7,8,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,2,7,3,4,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,8,5,4,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,8,5,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,6,8,5,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,8,6,4,2,3,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,5,8,6,4,1,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,2,3,5,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,2,3,1,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,3,1,5,4,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,6,2,8,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,1,4,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,5,1,2,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,4,3,8,6,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,3,8,2,6,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,2,5,7,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,2,5,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,6,4,7,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,5,3,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,3,1,5,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,2,3,8,1,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,2,3,8,4,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,7,6,3,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,5,2,3,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,3,1,4,2,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,5,1,6,2,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,6,1,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,8,3,4,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [9,2,3,4,5,6,7,8,1]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,2,3,4,5,6,7,1,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,2,3,4,5,6,1,8,9]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,2,3,4,5,1,7,8,9]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,2,3,4,1,6,7,8,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,2,3,1,5,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,4,3,5,6,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,4,6,8,9,7,5,3]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,4,5,3,6,7,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,4,3,5,6,7,8,9,10]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,2,4,6,8,10,9,7,5,3]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,4,6,8,5,7,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,1,7,5,8,6,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,8,6,5,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,7,4,6,5,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,8,4,6,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,3,6,5,8,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,7,2,6,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,6,7,5,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,6,5,8,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,7,8,5,2,3,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,3,8,2,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,5,4,1,7,6,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,7,2,5,8,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,8,7,5,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,6,4,1,2,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,3,5,7,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,4,8,7,6,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,5,1,7,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,4,1,3,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,5,3,8,2,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,8,2,4,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,8,2,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,1,4,7,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,3,1,6,7,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,8,2,6,5,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,4,8,7,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,3,2,6,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,4,6,8,1,2,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,7,2,5,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,6,8,3,7,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,5,8,3,4,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,8,1,3,4,7,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,5,6,3,4,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,3,5,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,3,5,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,7,3,6,4,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,5,8,4,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,4,8,1,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,8,5,4,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,2,7,4,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,1,8,4,3,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,1,8,3,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,6,3,5,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,5,6,8,1,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,7,2,8,1,3,4,5]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,6,8,7,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,7,6,8,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,6,8,5,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,5,7,8,3,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,6,7,5,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,5,8,6,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,8,3,2,5,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,5,1,3,2,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,1,5,4,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,7,6,2,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,7,6,5,1,8,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,5,8,3,2,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,2,4,8,5,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,8,4,6,3,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,5,4,8,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,7,5,3,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,7,6,4,8,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,4,8,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,5,3,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,1,3,6,8,5,7,9]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [7,2,3,8,6,1,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,8,4,1,2,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,3,7,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,8,4,1,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,5,2,1,8,4,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,7,5,1,8,3,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,8,7,4,3,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,8,7,2,4,6,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,1,3,2,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,6,3,5,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,7,6,3,5,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,4,2,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,5,1,3,8,7,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,8,3,2,5,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,8,5,3,7,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,8,3,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,5,1,7,4,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,4,1,3,5,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,2,3,7,1,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,3,7,1,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,2,7,4,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,2,7,4,1,3,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,2,6,1,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,8,5,2,1,4,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,8,4,7,3,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,6,5,1,2,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,6,5,1,2,3,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,5,1,7,6,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,7,6,5,1,2,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,4,6,7,1,2,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,2,6,1,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,6,1,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,6,1,4,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,5,6,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,7,2,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,3,4,5,2,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,1,3,5,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,7,2,5,4,3,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,7,3,4,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,7,4,3,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,7,5,6,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,7,4,3,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,1,3,8,7,5,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,1,7,4,6,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,2,4,6,8,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,4,2,7,3,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,1,2,3,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,6,2,7,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,6,2,3,5,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,8,3,5,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,8,1,7,6,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,1,3,6,7,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,4,8,6,1,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,1,5,6,7,8,9,10,3]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,3,4,5,6,7,9,1,10,8]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,3,5,1,6,7,8,9,10,4]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [2,3,4,5,6,8,1,9,10,7]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [2,3,4,6,1,7,8,9,10,5]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,3,4,5,7,1,8,9,10,6]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [4,1,2,5,6,7,8,9,10,3]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [4,3,1,5,6,7,8,10,2,9]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [2,6,1,5,3,7,8,9,10,4]=>010100001=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [5,3,4,1,6,7,9,2,10,8]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [2,3,8,1,6,7,4,9,10,5]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [6,3,4,5,1,8,2,9,10,7]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,3,4,10,1,7,8,9,5,6]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [8,2,1,3,4,5,6,7,9]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [3,2,4,5,6,7,8,1,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,2,1,3,4,5,6,7,8,10]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,3,1,2,4,5,6,7,9]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,2,3,1,4,5,6,7,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,2,3,5,6,7,8,1,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,4,3,2,8,1,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,4,3,8,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,3,1,6,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,2,4,6,10,1,3,5,9]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [2,10,7,9,4,6,8,1,3,5]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [6,5,2,4,8,10,1,3,7,9]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [2,8,5,7,4,6,10,1,3,9]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [10,5,2,4,7,9,6,8,1,3]=>110001010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [10,9,2,8,5,7,4,6,1,3]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [8,7,6,5,2,4,10,1,3,9]=>111100100=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,7,2,6,5,9,4,8,1,3]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,10,5,9,8,7,2,4,1,3]=>010111010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [4,10,3,9,2,6,8,1,5,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [4,3,10,7,9,2,6,8,1,5]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,6,2,5,4,8,10,1,7,9]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,6,10,2,5,9,4,8,1,7]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,5,8,2,4,7,6,10,1,9]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,5,7,10,2,4,6,9,8,1]=>000100011=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [10,9,3,5,8,2,4,7,6,1]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [8,7,3,6,2,5,4,10,1,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,6,3,5,10,2,4,9,8,1]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [3,6,10,9,8,2,5,7,4,1]=>001110011=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [10,9,8,7,3,6,2,5,4,1]=>111101011=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [5,4,3,8,2,7,6,10,1,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,4,3,7,10,2,6,9,8,1]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [5,10,4,9,3,8,2,7,6,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,8,3,7,6,5,2,10,1,9]=>010111010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [4,7,3,6,5,10,2,9,8,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,6,10,3,5,9,8,7,2,1]=>001001111=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,9,4,8,3,7,6,5,2,1]=>110101111=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [7,6,5,4,3,10,2,9,8,1]=>111101011=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [6,5,4,10,3,9,8,7,2,1]=>110101111=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [5,10,4,9,8,7,6,3,2,1]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [12,11,2,10,7,9,4,6,8,1,3,5]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,9,2,8,7,11,4,6,10,1,3,5]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,11,6,10,5,9,2,4,8,1,3,7]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [10,9,2,8,5,7,4,6,12,1,3,11]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [8,7,6,12,5,11,2,4,10,1,3,9]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [10,7,2,6,5,9,4,8,12,1,3,11]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,11,4,10,3,9,2,6,8,1,5,7]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [10,9,4,8,3,7,2,6,12,1,5,11]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [8,7,3,6,2,5,4,10,12,1,9,11]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [6,5,4,12,3,11,2,8,10,1,7,9]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [6,5,4,10,3,9,2,8,12,1,7,11]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [5,4,3,8,2,7,6,10,12,1,9,11]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [4,2,8,1,5,7,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,7,2,5,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,3,2,6,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,2,6,3,4,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,5,4,6,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,2,1,7,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,1,7,5,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,3,7,2,8,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,5,7,2,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,3,8,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,5,8,7,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,8,4,1,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,1,6,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,8,7,6,4,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,2,6,4,3,5,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,8,6,3,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,7,5,3,1,4,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,5,6,3,1,4,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,7,8,5,3,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,3,2,4,1,8,7]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,8,7,3,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,4,7,8,5,3,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,6,7,3,1,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,5,3,2,6,4,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,3,1,4,6,7,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,5,1,6,4,3,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,3,7,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,7,5,8,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,3,1,4,6,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,3,1,6,5,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,6,7,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,8,1,4,6,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,8,7,5,4,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,8,3,4,1,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,3,4,2,6,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,5,2,3,7,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,8,6,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,5,2,3,8,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,7,5,2,8,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,1,3,6,4,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,2,3,7,8,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,2,6,3,1,5,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,3,8,7,5,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,4,1,5,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,4,2,5,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,5,4,1,7,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,8,3,7,1,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,2,4,7,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,6,2,8,7,5,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,2,4,1,6,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,1,8,7,5,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,4,5,1,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,8,2,7,6,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,6,8,7,5,3,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,2,4,5,7,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,8,3,5,7,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,8,2,5,7,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,8,1,5,7,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,1,8,7,5,3,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,2,8,7,5,3,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,3,8,7,5,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,3,8,7,5,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,8,1,5,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,2,5,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,1,4,5,7,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,2,1,4,6,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,6,8,7,5,1,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,6,8,7,2,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,5,1,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,5,7,2,3,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,4,7,6,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,1,6,4,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,6,2,7,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,6,1,5,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,6,3,1,2,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,1,4,5,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,8,4,6,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,6,5,3,8,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,8,1,4,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,4,8,1,2,3,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,1,5,3,7,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,8,1,2,6,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,1,5,6,2,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,5,8,7,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,1,6,2,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,2,7,6,8,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,7,2,5,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,6,5,8,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,8,5,7,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,1,2,6,8,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,5,2,7,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,8,7,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,3,2,4,6,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,1,4,2,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,2,7,8,4,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,6,8,7,3,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,6,2,5,7,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,1,2,6,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,5,7,6,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,6,8,5,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,1,2,8,4,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,2,7,6,4,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,7,6,2,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,8,6,1,5,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,9,3,4,5,6,7,8,2]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,2,3,4,5,6,7,8,1,10]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [1,9,8,4,5,6,7,3,2]=>01100011=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [1,10,3,4,5,6,7,8,9,2]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [1,10,9,4,5,6,7,8,3,2]=>011000011=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33) [7,8,6,3,1,5,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,1,3,4,5,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,4,8,2,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,1,4,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,2,4,6,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,4,1,5,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,8,1,5,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,1,7,2,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,7,3,2,5,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,5,3,8,4,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,4,5,7,8,1,3,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,4,1,6,8,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,2,7,6,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,8,4,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,8,3,5,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,2,4,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,4,8,3,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,8,6,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,2,5,3,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,4,5,2,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,6,5,3,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,7,8,4,6,3,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,2,8,6,4,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,1,2,7,4,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,7,3,6,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,2,3,4,8,6,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,3,5,4,2,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,1,3,2,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,1,3,7,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,7,2,1,8,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,7,2,1,3,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,2,3,1,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,4,2,5,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,4,7,5,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,7,5,4,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,7,5,3,6,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,7,3,4,1,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,5,8,6,4,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,7,3,8,6,5,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,4,2,7,5,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,5,4,7,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,2,3,1,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,1,4,6,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,8,7,4,1,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,6,4,7,5,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,7,1,3,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,5,1,4,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,1,3,2,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,7,5,3,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,4,3,1,5,6,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,1,4,3,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,8,4,7,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,6,1,2,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,7,4,3,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,6,2,3,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,2,5,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,6,1,8,7,5,4]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,8,7,5,3,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,4,1,7,5,2,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,8,2,3,6,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,7,1,2,5,6,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,7,4,1,5,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,2,1,5,7,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,8,6,7,5,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,7,5,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,1,8,5,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,7,5,3,4,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,4,5,7,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,5,8,3,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,8,5,3,4,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,6,8,3,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,1,8,7,2,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,3,4,5,6,7,10,9]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,7,2,3,4,5,6,9,8]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,3,8,5,2,7,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,8,6,7,2,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,3,7,6,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,7,8,6,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,8,7,6,2,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,4,6,8,5,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,3,6,8,2,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,6,7,8,1,3,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,6,8,1,2,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,8,6,1,2,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,6,8,7,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,6,8,7,2,3,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,3,8,1,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,8,4,1,7,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,5,7,8,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,4,8,2,3,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,4,8,1,3,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,4,8,5,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,6,5,8,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,5,2,4,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,2,7,4,5,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,4,6,1,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,7,4,5,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,3,1,5,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,8,3,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,7,5,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,5,3,8,6,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,5,7,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,3,7,4,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,2,4,1,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,4,2,6,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,3,4,2,7,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,2,5,6,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,6,7,2,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,3,5,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,7,3,8,5,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,2,4,6,1,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,6,5,2,4,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,7,5,2,8,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,6,7,8,1,3,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,6,7,8,1,4,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,7,6,8,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,3,2,8,6,4,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [5,4,8,6,7,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,6,3,1,2,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,7,3,6,2,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,6,3,8,2,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,7,2,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,4,7,8,1,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,4,8,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,7,4,6,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,3,7,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,7,3,5,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,6,5,7,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,6,2,7,3,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,6,2,8,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,6,1,7,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,1,6,3,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,6,3,7,1,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,8,5,4,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,1,5,2,8,6,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,1,3,2,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,8,4,1,5,2,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,4,3,8,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,7,4,3,1,6,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,4,2,7,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,4,1,2,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,2,5,1,3,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,5,1,2,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,4,1,7,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,3,5,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,8,6,3,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,7,2,5,6,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,4,2,1,6,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,7,2,4,1,6,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,2,1,6,4,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,6,1,7,4,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,4,6,1,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,6,4,1,3,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,2,6,1,3,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,5,6,3,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,2,5,4,6,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,1,6,5,3,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,2,7,5,6,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,6,5,4,3,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,1,5,6,3,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,4,5,3,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,6,5,4,2,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,1,4,6,5,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,1,5,3,2,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,8,6,3,7,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,3,1,7,6,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,6,3,2,8,5,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,3,8,7,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,6,8,7,4,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,8,5,4,1,2,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,8,4,5,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,3,1,4,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,1,3,2,8,6,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,3,4,2,8,6,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,4,3,8,6,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,3,8,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,2,8,5,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,7,2,8,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,2,4,8,6,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,3,1,2,8,6,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,4,1,2,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,3,4,1,8,6,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,3,4,6,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,4,3,1,6,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,8,1,3,4,5,7,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,2,8,1,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,8,2,5,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,7,4,1,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,4,1,2,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,2,8,6,5,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,7,5,1,2,4,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,5,1,8,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,1,8,4,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,8,3,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,6,7,3,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,7,8,4,3,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,1,4,3,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,3,5,6,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,7,8,4,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,8,2,4,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,5,2,4,3,1,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,4,2,3,1,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,5,6,4,8,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,4,6,7,1,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,2,6,5,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,2,6,4,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,5,3,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,2,6,4,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,2,5,3,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,1,4,3,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,5,4,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,2,6,3,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,6,4,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,2,6,4,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,2,6,3,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,2,7,4,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,2,8,5,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,1,3,2,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,8,4,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,7,3,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,3,8,1,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,1,4,2,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,7,3,5,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,7,3,5,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,1,2,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,1,5,4,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,4,1,5,3,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,5,4,1,3,2,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,8,7,4,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,8,7,4,6,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,5,7,4,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,5,3,1,2,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,7,3,1,5,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,5,4,1,3,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,8,7,4,6,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,7,6,5,1,3,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,8,7,5,1,6,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,8,7,5,6,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,7,1,3,6,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,4,7,2,1,3,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,7,3,5,2,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,8,6,4,2,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,4,1,5,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,1,7,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,4,6,1,2,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,8,6,5,1,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,7,6,5,2,1,3]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,8,7,5,1,6,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,2,1,8,6,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,3,1,6,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,2,8,4,6,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,3,2,4,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,6,4,5,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,2,6,5,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,7,8,4,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,8,6,4,1,3,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,6,3,5,2,8,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,7,4,8,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,5,1,7,2,4,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,5,1,7,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,8,3,7,4,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,3,4,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,2,6,4,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,4,8,1,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,2,4,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,3,8,7,5,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,3,8,7,5,4,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,8,4,2,1,7,5,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,6,4,3,8,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,3,1,4,8,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,7,8,6,4,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,1,7,6,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,6,4,2,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,6,3,8,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,8,6,4,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,5,8,2,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,2,4,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,3,8,2,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,1,3,6,5,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,7,4,3,8,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,4,7,3,8,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,8,7,2,4,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,8,7,3,6,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,7,2,5,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,2,8,1,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,6,1,5,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,1,5,8,4,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,1,4,3,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,8,3,2,6,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,4,8,3,2,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,4,8,3,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,5,4,3,8,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,4,5,6,8,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,4,5,6,7,9,8,2]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,3,4,5,6,7,9,8,1,10]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [7,3,4,5,6,8,1,2,9]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,4,5,7,6,8,1,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,8,4,5,6,7,9,2,3]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [1,3,4,5,6,8,7,9,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,3,4,5,6,7,8,10,9,2]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,6,4,2,3,5,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,8,7,2,3,4,5,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,8,6,2,3,4,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,6,5,7,2,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,5,6,2,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,2,7,6,4,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,3,7,6,4,5,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,4,2,3,7,6,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,4,2,3,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,2,8,6,4,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,5,8,2,3,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,7,5,2,3,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,1,5,8,6,3,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,8,4,6,1,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,3,8,6,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,5,8,1,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,5,8,1,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,8,6,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,4,6,1,3,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,6,1,4,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,5,4,8,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,7,2,6,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,8,5,3,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,1,7,6,5,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,3,8,1,5,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,4,1,5,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,6,8,5,2,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,4,7,2,6,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,8,5,4,2,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,4,8,5,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,4,1,8,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,4,1,5,2,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,5,1,3,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,3,5,6,7,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,2,4,7,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,5,4,6,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,7,4,6,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,4,1,3,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,7,4,1,3,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,3,5,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,6,3,5,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,4,2,5,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,6,1,5,7,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,6,2,5,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,1,2,5,7,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,4,1,5,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,1,6,5,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,2,6,1,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,3,1,8,6,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,4,2,7,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,5,3,1,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,3,6,4,8,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,2,5,4,1,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,5,1,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,3,8,7,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,6,3,8,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,3,8,6,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,3,2,6,1,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,2,6,4,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,7,5,3,1,8,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,2,8,4,3,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,2,4,1,8,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,3,2,7,5,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,3,7,5,8,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,5,3,7,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,2,8,6,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,6,8,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,3,4,5,9,7,8,6]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,3,4,9,6,7,8,5]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,3,9,5,6,7,8,4]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,2,9,4,5,6,7,8,3]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,2,3,4,5,6,10,8,9,7]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,2,3,4,9,7,6,8,5]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [1,2,3,4,5,10,7,8,9,6]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,2,8,6,4,5,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,3,9,6,5,7,8,4]=>00011001=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [1,2,3,4,10,6,7,8,9,5]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [1,8,5,3,4,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,9,5,4,6,7,8,3]=>00110001=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [1,2,3,10,5,6,7,8,9,4]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [1,9,4,3,5,6,7,8,2]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [1,2,10,4,5,6,7,8,9,3]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [9,3,2,4,5,6,7,8,1]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [10,2,3,4,5,6,7,8,9,1]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [3,5,6,7,8,9,4,2,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [7,8,4,1,6,3,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,5,6,1,3,4,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,3,5,7,4,6,9,8]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,3,6,4,7,5,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,2,3,4,6,8,5,7,10,9]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,2,3,4,6,8,5,7,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,7,5,8,6,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,2,3,4,7,5,8,6,10,9]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,3,5,7,4,6,9,8,10]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [1,2,5,7,3,4,6,9,8]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,2,4,5,7,3,6,9,8]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,6,3,4,7,5,9,8]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [1,2,5,6,3,7,4,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,2,3,6,4,7,5,9,8,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [3,2,6,4,1,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,5,3,1,4,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,8,6,2,3,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,5,2,3,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,4,7,6,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,2,8,7,5,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,7,6,3,2,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,4,1,8,7,3,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,5,4,2,7,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,5,8,2,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,2,7,4,6,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,8,4,1,3,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,2,3,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,1,3,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,3,8,7,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,1,6,2,5,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,5,2,4,7,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,5,2,4,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,5,1,4,7,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,5,4,1,3,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,1,6,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,8,5,6,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,1,9,4,5,6,7,8]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,9,1,2,3,5,6,7,8]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [3,9,1,2,4,5,6,7,8]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,8,2,3,4,5,6,7,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,4,6,1,3,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,8,6,3,2,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,5,7,2,6,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,6,7,3,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,7,5,3,6,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,3,6,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,6,3,1,7,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,1,6,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,1,2,3,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,7,5,1,2,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,6,8,5,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,6,8,1,2,4,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,7,1,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,2,1,8,6,4,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [9,8,7,5,6,4,3,2,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,1,9,8,6,7,5,4,3]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [11,10,9,8,7,6,5,4,3,2,1]=>1111111111=>([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11) [10,9,8,7,5,6,4,3,2,1]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [9,8,7,5,4,6,3,2,1]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,8,7,4,6,5,3,2,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,1,9,8,6,5,7,4,3]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,1,9,8,5,7,6,4,3]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,1,10,9,8,6,7,5,4,3]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [1,8,7,6,5,4,3,2,9]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,9,8,7,6,5,4,3,2,10]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [2,1,8,7,6,5,4,3,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,8,9,7,6,5,4,3,1]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [7,8,6,1,4,5,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,5,4,6,7,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,8,3,7,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,3,6,2,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,8,5,3,6,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,3,2,6,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,4,3,2,6,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,3,8,2,1,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,3,2,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,4,3,2,7,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,8,3,1,2,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,6,7,3,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,6,1,3,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,4,3,2,7,5,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,3,8,2,1,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,4,3,2,5,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,3,8,2,6,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,6,7,8,1,2,9,3]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,5,6,7,1,2,8,9,3]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,5,6,1,2,7,8,9,3]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [4,5,1,2,6,7,8,9,3]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,4,2,3,5,1,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,3,6,1,4,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,3,8,6,4,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,3,7,4,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,3,2,5,4,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,3,4,5,8,1,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,2,8,1,5,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,4,7,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,8,6,4,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,2,5,7,3,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,2,3,4,7,1,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,4,7,8,2,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,5,1,4,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,5,1,3,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,8,5,2,7,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,5,2,6,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,6,2,7,4,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,4,7,1,3,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,6,2,8,1,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,2,3,7,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,2,3,7,8,5,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,4,2,3,6,7,1,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,8,3,7,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,2,8,4,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,8,4,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,1,5,6,8,3,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,2,6,5,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,3,2,6,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,7,5,8,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,7,8,3,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,1,3,8,2,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,6,2,1,8,7,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,4,5,1,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,4,5,8,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,5,2,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,4,5,1,6,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,1,6,3,2,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,4,8,6,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,4,8,6,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,7,5,3,6,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,7,4,1,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,4,1,6,3,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,4,2,6,5,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,1,5,6,7,3,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,8,4,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,8,6,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,8,5,6,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,8,6,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,6,8,2,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,7,4,8,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,1,4,7,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,8,2,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,4,8,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,4,1,6,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,1,4,7,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,4,1,6,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,8,4,1,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,3,6,7,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,2,5,6,7,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,8,4,1,6,5,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,8,1,5,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,2,5,7,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,4,2,6,5,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,2,3,4,5,9,6]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,8,9,1,3,4,5,6,7]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,8,9,10,1,3,4,5,6,7]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [7,1,8,2,9,3,4,5,6]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [6,1,7,2,8,3,9,4,5]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,1,6,2,7,3,8,4,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,1,9,2,10,3,4,5,6,7]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [7,1,8,2,3,9,4,5,6]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [7,1,8,2,9,3,10,4,5,6]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,1,7,2,8,3,4,9,5]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,1,6,2,7,3,9,4,8]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,1,6,2,7,3,8,4,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,5,2,7,3,8,6,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,1,5,2,6,3,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,1,3,7,4,8,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,4,7,8,2,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,5,8,7,4,3,6,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,7,8,3,4,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,4,8,3,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,8,2,3,4,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,5,7,4,6,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,4,5,8,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,8,1,4,5,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,1,6,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,3,7,5,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,7,8,5,3,6,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,1,4,7,2,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,5,1,2,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,7,5,8,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,5,8,2,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,5,7,3,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,7,5,1,3,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,8,5,1,3,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,8,4,1,5,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,7,5,8,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,5,7,2,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,4,2,3,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,6,8,5,4,2,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,6,3,8,2,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,3,6,7,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,6,8,2,7,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,5,4,3,8,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,3,4,5,6,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,3,6,2,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,5,8,3,6,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,7,8,4,5,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,8,5,6,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,3,8,5,4,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,2,8,7,5,4,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,2,8,4,3,7,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,4,3,1,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,5,7,3,6,2,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,4,8,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,3,6,8,7,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,5,7,6,8,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,2,6,8,4,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,6,4,7,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,8,5,4,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,2,8,7,6,4,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,3,8,2,7,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,4,8,3,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,5,1,3,7,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,7,2,6,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,5,1,8,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,2,1,6,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,4,8,1,2,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,4,8,3,2,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,7,3,2,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,5,6,2,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,5,8,7,3,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,5,8,6,7,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,1,5,6,2,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,5,8,6,7,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,6,1,2,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,5,6,1,2,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,5,6,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,1,8,6,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,8,6,7,2,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,1,5,8,6,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,5,8,7,1,2,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,1,5,6,2,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,4,7,1,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,6,4,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,1,5,7,8,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,6,4,7,2,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,6,1,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,6,4,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,4,5,6,7,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,6,5,2,7,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,7,5,2,1,4,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,8,6,5,1,7,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,1,7,3,2,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,4,6,7,2,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,4,7,1,3,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,6,5,3,7,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,7,2,3,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,3,4,5,6,8,9,7]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,1,3,4,5,6,7,9,8]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,1,3,4,5,6,7,9,10,8]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [2,3,1,4,5,6,8,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,3,2,4,5,6,8,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,3,1,4,5,6,7,9,8]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,3,2,4,5,6,7,9,8]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,3,4,5,6,7,8,10,9]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,6,2,5,4,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,2,7,5,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,5,8,2,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,6,4,3,1,8,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,3,5,8,1,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,7,2,3,8,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,1,3,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,4,1,8,3,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,7,5,8,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,3,8,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,7,4,3,8,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,7,4,2,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,6,7,4,3,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,2,1,8,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,7,3,1,4,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,3,2,8,4,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,6,7,4,3,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,1,8,4,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,5,8,1,6,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,8,4,5,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,7,6,1,2,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,3,4,6,2,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,5,7,1,4,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,4,7,1,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,3,4,7,1,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,3,5,6,2,4,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,4,6,5,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,7,5,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,6,7,5,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,5,7,6,1,4,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,3,6,2,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,3,4,6,2,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,4,6,5,2,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,5,2,7,4,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,4,3,7,6,5,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,6,7,4,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,7,6,4,1,2,3]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,2,7,5,1,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,4,2,7,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,6,5,1,2,3]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,5,2,7,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,6,7,4,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,3,7,6,4,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,2,5,7,3,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,2,4,7,3,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,2,3,7,4,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,3,2,7,6,4,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,6,1,5,4,3,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,5,8,3,1,6,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,4,6,1,5,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,8,5,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,3,2,5,4,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,6,7,3,8,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,5,4,8,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,5,8,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,1,6,4,8,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,8,3,2,4,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,2,4,6,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,7,6,4,8,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,7,6,4,2,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,8,7,5,4,2,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,1,7,6,5,4,2,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,7,1,6,5,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,1,6,5,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,1,7,6,3,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,1,8,6,3,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,1,7,6,3,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,1,8,5,3,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,1,7,5,3,2,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,1,6,5,3,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,5,6,1,4,3,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,6,1,4,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,7,1,4,3,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,1,4,3,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,6,1,4,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,5,1,4,3,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,5,1,4,3,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,5,1,4,3,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,1,7,2,5,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,6,3,4,2,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,4,5,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,4,5,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,4,5,7,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,3,8,4,5,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,7,6,1,4,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,8,1,4,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,3,8,4,1,2,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,7,6,1,4,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,3,4,7,1,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,3,7,1,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,5,3,1,6,4,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,4,7,8,5,2,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,8,3,7,6,4,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,1,7,2,4,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,7,1,4,2,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,5,8,2,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,2,7,5,4,3,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,1,8,3,7,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,5,3,2,6,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,8,1,5,4,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,5,1,4,6,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,6,8,1,5,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,1,7,5,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,3,1,2,8,5,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,2,6,7,4,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,2,6,4,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,3,6,8,2,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,5,7,8,4,6,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,1,2,7,5,4,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,4,1,3,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,8,4,3,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,3,5,7,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,1,7,5,2,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,1,8,3,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,1,6,5,2,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,3,4,7,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,2,1,5,7,8,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,1,6,7,8,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,4,6,7,8,2,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,5,3,7,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,6,5,2,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,5,4,6,3,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,6,7,5,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,4,7,6,3,8,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,4,1,8,5,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,4,1,5,7,3,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,2,4,3,7,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,5,4,8,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,8,7,4,3,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,1,7,5,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,6,4,7,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,1,3,7,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,3,1,7,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,3,7,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,3,1,5,2,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,5,4,6,1,3,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,6,5,1,2,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,6,3,7,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,2,3,4,5,8,9,10,6]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [6,7,1,2,3,4,8,9,5]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,1,2,3,4,7,8,9,10,5]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [5,1,2,3,6,7,8,9,10,4]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [6,8,3,5,7,2,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,4,3,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,5,7,2,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,3,8,4,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,4,2,6,3,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,6,5,4,3,2,9,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,7,6,5,4,3,1,2,8]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [2,4,3,5,6,7,8,9,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,3,8,4,7,5,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,2,8,6,4,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,5,8,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,8,6,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,1,7,5,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,7,8,6,1,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,5,1,7,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,3,5,1,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,4,6,3,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,3,8,2,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,2,5,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,7,1,3,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,6,7,8,9,2,1,3]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [5,6,7,8,9,2,1,3,4]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [6,7,8,9,2,1,3,4,5]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [7,8,9,2,1,3,4,5,6]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [8,9,2,1,3,4,5,6,7]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [1,4,6,2,7,5,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,7,5,1,4,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,6,8,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,1,4,5,6,7,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,3,1,2,5,6,4,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,4,1,5,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,2,1,5,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,8,6,5,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,8,5,2,6,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,2,4,6,3,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,3,2,6,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,1,3,2,5,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,3,7,8,1,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,8,6,3,1,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,2,3,5,1,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,3,4,2,8,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,4,5,7,8,1,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,6,3,2,5,7,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,5,3,7,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,3,6,7,2,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,7,8,6,2,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,8,4,3,6,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,3,2,4,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,7,5,3,4,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,7,4,5,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,2,6,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,1,4,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,1,3,6,8,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,1,7,8,3,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,8,6,1,4,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,4,2,7,6,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,2,6,5,4,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,3,8,1,6,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,8,2,6,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,3,8,6,5,4,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,1,3,7,6,5,4,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,4,1,8,7,3,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,6,1,5,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,1,7,8,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,7,8,2,1,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,6,1,8,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,7,1,5,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,7,1,5,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,6,2,1,8,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,2,1,6,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,4,8,3,2,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,8,2,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,5,8,2,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,2,6,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,1,6,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,3,1,4,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,6,1,7,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,1,6,7,8,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,2,6,1,3,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,7,2,5,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,7,2,5,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,1,4,6,8,3,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,1,2,4,8,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,3,4,7,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,6,4,7,5,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,1,3,4,5,6,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,2,6,7,3,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,3,2,8,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,2,6,3,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,2,6,3,7,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,2,7,6,3,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,3,1,6,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,8,3,1,6,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,3,1,6,2,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,3,1,8,6,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,6,2,4,8,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,7,2,8,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,2,7,4,3,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,2,6,3,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,2,7,3,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,2,7,3,5,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,6,2,1,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,8,3,5,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,3,2,1,8,6,4]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,2,1,5,3,6,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,4,3,2,1,9,7,5]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [7,5,4,3,2,1,8,6,9]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,6,4,2,1,9,7,5,3]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [7,5,3,2,1,8,6,4,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,4,3,2,1,8,5,9,6]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [6,4,3,2,1,7,5,8,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [7,5,3,1,8,6,4,2,9]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [7,4,2,1,8,5,3,9,6]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,4,2,1,7,5,3,8,9]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [6,3,2,1,7,4,8,5,9]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [5,3,2,1,6,4,7,8,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [7,4,1,8,5,2,9,6,3]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [6,3,1,7,4,2,8,5,9]=>11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [5,3,1,6,4,2,7,8,9]=>11011000=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [6,2,1,7,3,8,4,9,5]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [5,2,1,6,3,7,4,8,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [4,2,1,5,3,6,7,8,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [4,1,5,2,6,3,7,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [3,1,4,2,5,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,7,5,4,3,2,1,10,8,6]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,6,5,4,3,2,1,9,7,10]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [9,7,5,3,2,1,10,8,6,4]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,6,4,3,2,1,9,7,5,10]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [8,5,4,3,2,1,9,6,10,7]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [7,5,4,3,2,1,8,6,9,10]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [8,6,4,2,1,9,7,5,3,10]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,5,3,2,1,9,6,4,10,7]=>111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [7,5,3,2,1,8,6,4,9,10]=>111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [7,4,3,2,1,8,5,9,6,10]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,4,3,2,1,7,5,8,9,10]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [8,5,3,1,9,6,4,2,10,7]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,5,3,1,8,6,4,2,9,10]=>111011100=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [8,5,2,1,9,6,3,10,7,4]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,4,2,1,8,5,3,9,6,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,4,2,1,7,5,3,8,9,10]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [7,3,2,1,8,4,9,5,10,6]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,3,2,1,7,4,8,5,9,10]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [5,3,2,1,6,4,7,8,9,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [7,4,1,8,5,2,9,6,3,10]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,3,1,8,4,2,9,5,10,6]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [6,3,1,7,4,2,8,5,9,10]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [5,3,1,6,4,2,7,8,9,10]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [6,2,1,7,3,8,4,9,5,10]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,2,1,6,3,7,4,8,9,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [4,2,1,5,3,6,7,8,9,10]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,1,6,2,7,3,8,4,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,1,5,2,6,3,7,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [3,1,4,2,5,6,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [6,2,5,4,1,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,3,2,1,8,7,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,3,2,1,8,7,4]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,4,3,2,7,6,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,8,4,7,6,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,2,7,4,8,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,3,2,8,6,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,3,7,5,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,8,4,3,2,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,4,3,8,5,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,2,5,4,7,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,4,8,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,2,8,6,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,5,4,8,6,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,8,6,5,4,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,3,6,5,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,3,7,5,2,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,7,8,5,4,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,7,4,3,2,1,5]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,6,1,4,8,7,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,3,7,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,5,1,8,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,1,8,7,4,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,3,1,8,7,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,1,8,5,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,5,1,8,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,1,5,8,4,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,1,7,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,6,4,1,7,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,1,5,2,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,6,4,2,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,4,1,5,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,6,1,2,7,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,1,4,3,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,1,4,3,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,5,3,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,2,4,7,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,6,4,8,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,4,1,3,7,5,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,3,6,1,7,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,2,1,4,5,8,6,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,5,6,1,2,7,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,5,4,7,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,5,7,3,2,4,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,2,1,4,3,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,4,1,3,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,2,4,5,6,7,3]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [6,1,4,3,2,7,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,6,7,2,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,8,3,7,4,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,9,2,3,4,5,6,7,8,10]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,7,2,3,4,5,6,8,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,2,6,5,4,3,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,2,7,6,4,5,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,3,5,4,2,6,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [12,10,9,8,7,6,5,4,3,2,1,11]=>11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [4,6,7,2,1,8,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,1,8,2,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,8,6,1,3,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,8,6,2,7,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,7,1,5,3,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,7,2,1,8,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,5,6,7,8,3,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,1,3,5,6,7,8,2]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [3,7,8,4,5,1,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,3,2,7,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,2,3,7,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,1,7,4,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,8,3,7,1,2,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,8,4,6,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,1,5,7,8,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,8,2,5,4,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,2,5,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,6,2,1,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,8,6,1,2,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,8,5,2,7,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,5,2,6,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,5,4,1,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,8,5,3,1,7,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,2,3,5,4,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,3,7,6,4,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,5,2,7,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,5,2,3,4,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,5,1,7,3,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,1,2,4,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,2,5,1,7,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,2,4,8,5,3,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,1,7,2,5,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,2,8,5,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,5,2,4,7,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,8,1,7,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,3,4,5,6,8,7,9]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,2,3,4,5,6,7,9,8,10]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,2,3,4,5,7,6,8,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,2,3,4,5,6,7,1,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [5,2,7,3,4,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,5,8,6,4,7,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,5,8,6,7,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,7,4,8,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,4,1,3,6,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,3,1,6,5,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,1,4,6,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,6,1,4,5,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,7,3,8,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,7,5,3,4,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,3,6,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,8,3,1,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,8,2,5,3,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,8,1,2,5,6,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,8,7,3,4,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,7,4,5,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,5,7,2,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,4,8,6,1,2,3]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,8,6,4,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,5,1,4,3,6,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,7,8,3,4,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,4,3,1,7,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,1,3,7,5,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,1,3,7,5,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,7,4,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,6,8,5,3,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,3,8,6,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,8,5,3,4,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,6,8,7,3,1,2,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,7,5,3,8,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,7,3,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,8,6,3,1,2,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,1,4,2,6,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,2,4,7,1,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,6,8,4,2,3,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,8,3,6,1,2,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,8,6,2,4,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,3,7,2,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,8,6,2,4,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,6,3,7,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,2,4,8,6,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,2,6,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,6,3,8,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,6,8,3,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,7,5,3,1,2,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,5,3,6,8,7,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,7,2,1,5,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,6,1,4,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,6,5,3,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,2,1,4,6,5]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,3,5,1,7,4,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,8,4,2,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,2,6,4,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,3,4,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,3,5,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,2,3,5,1,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,3,7,5,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,7,2,1,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,2,3,7,5,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,3,6,7,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,2,5,6,1,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,8,2,4,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,2,8,5,3,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,2,5,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,6,4,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,3,5,6,4,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,7,6,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,3,2,5,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,1,6,4,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,1,4,5,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,7,4,3,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,3,8,4,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,8,7,1,3,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,3,5,1,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,8,2,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,5,2,7,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,6,5,3,4,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,2,5,6,8,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,2,4,8,3,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,2,4,5,3,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,8,4,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,2,4,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,7,2,5,3,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,8,3,6,7,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,5,3,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [10,3,4,5,6,7,8,9,1,2]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [9,3,4,5,6,7,8,1,10,2]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [8,3,4,5,6,7,1,9,10,2]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [7,3,4,5,6,1,8,9,10,2]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [6,3,4,5,1,7,8,9,10,2]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [5,3,4,1,6,7,8,9,10,2]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [4,3,1,5,6,7,8,9,10,2]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [11,3,4,5,6,7,8,9,10,1,2]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [10,9,4,5,6,7,8,1,2,3]=>110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [10,3,8,5,6,7,1,9,2,4]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,3,4,7,6,1,8,9,2,5]=>100110010=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [10,3,4,5,1,7,8,9,2,6]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [5,3,4,1,6,10,8,9,2,7]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,1,5,6,7,10,9,2,8]=>110000110=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33) [3,1,4,5,6,7,8,10,2,9]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,1,5,6,2,3,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,1,4,6,7,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,6,1,3,4,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,3,7,2,5,8,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,7,5,1,3,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,5,6,2,3,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,1,2,4,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,6,1,3,5,7,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,4,3,8,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,5,3,4,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,7,5,2,8,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,4,1,5,6,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,3,6,7,2,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,8,4,3,7,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,4,6,7,1,2,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,8,4,7,1,2,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,5,4,8,3,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,3,8,2,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,1,3,7,2,4,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,4,7,8,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,1,4,7,2,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,4,7,8,2,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,3,6,7,8,1,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,2,7,3,8,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,7,8,5,6,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,6,7,5,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,7,4,6,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,8,4,7,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,8,7,1,2,3,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,1,8,5,7,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,4,6,2,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,4,1,8,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,5,1,4,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,4,1,3,8,2,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,5,4,2,8,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,7,4,2,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,4,3,1,5,2,6]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,2,5,1,4,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,4,5,1,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,4,1,3,6,7,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,3,1,7,5,6,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,7,6,5,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,4,5,7,6,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,1,8,5,7,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,1,4,7,6,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,1,7,4,2,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,7,3,1,6,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,4,2,3,7,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,2,8,7,4,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,1,2,4,3,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,3,7,4,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,5,7,6,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,1,8,7,6,4,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,8,7,3,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,4,8,7,2,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,1,3,4,6,7,2,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,4,8,2,6,7,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,2,5,1,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,2,5,7,4,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,2,1,7,5,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,7,5,6,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,5,4,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,5,4,1,7,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,1,5,7,6,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,8,2,7,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,1,6,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,4,7,3,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,2,1,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,4,7,6,5,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,8,1,7,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,1,3,6,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,3,4,5,6,9,1,7]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,2,3,9,5,6,7,1,4]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,2,9,4,5,6,7,1,3]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [8,9,3,4,5,6,7,1,2]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,2,3,4,5,6,7,10,1,8]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [4,2,3,1,9,8,7,6,5]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [3,2,1,9,8,6,7,5,4]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [9,2,10,4,5,6,7,8,1,3]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [2,3,4,7,6,8,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,1,2,5,6,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,2,1,4,6,7,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,8,1,6,5,2,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,8,5,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,6,7,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,4,1,6,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,5,4,2,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,4,7,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,8,6,5,2,7,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,1,5,2,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,2,4,1,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,2,4,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,3,2,4,8,1,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,2,4,6,1,3,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,3,4,6,8,1,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,3,4,6,7,5,1,2]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,3,4,7,5,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,6,1,3,4,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,1,5,7,6,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,4,6,8,2,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,1,6,8,3,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,2,8,1,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,2,8,6,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,5,2,6,7,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,8,6,1,2,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,6,5,2,7,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,6,4,7,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,6,4,8,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,3,5,1,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,5,7,4,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,4,5,6,8,1,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,1,3,5,6,2,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,5,8,4,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,8,4,7,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,4,3,2,8,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,1,4,2,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,1,4,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,3,5,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,4,8,1,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,8,4,2,5,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,2,5,8,1,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,5,8,3,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,8,5,6,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,4,8,1,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,3,1,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,5,8,3,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,5,8,7,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,5,3,7,2,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,5,3,7,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,8,6,5,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [7,4,8,5,6,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,4,1,3,5,6,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,3,4,1,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,1,8,2,5,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,3,8,1,5,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,8,7,3,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,7,4,8,6,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,8,2,3,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,1,8,3,5,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,6,3,8,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,1,4,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,6,2,8,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,1,8,4,7,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,8,1,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,5,8,7,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,6,8,1,4,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,5,8,2,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,7,2,3,1,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,5,4,2,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,6,3,1,4,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,6,3,5,1,2,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,8,5,4,6,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,8,4,7,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,4,3,7,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,3,7,2,4,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,2,8,4,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,2,6,8,3,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,3,6,5,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,4,3,6,8,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,2,7,8,3,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,2,4,6,7,8,3]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,6,3,5,2,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,3,4,8,2,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,6,4,1,7,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,4,6,3,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,8,6,2,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,8,2,4,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,4,8,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,8,2,3,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,5,2,4,8,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,5,2,3,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,7,3,2,5,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,3,2,8,4,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,2,8,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,2,5,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,3,2,5,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,3,2,6,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,3,2,6,4,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,2,6,7,3,4,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,2,6,3,7,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,6,2,3,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,2,8,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,6,2,8,3,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,6,2,3,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,2,5,8,1,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,4,2,5,8,3,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,10,4,5,6,7,8,9,1,3]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [9,8,4,5,6,7,1,2,10,3]=>110001001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33) [2,10,9,5,6,7,8,1,3,4]=>011000100=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [9,3,8,5,6,7,1,2,10,4]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [9,7,4,5,6,1,8,2,10,3]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [2,10,4,9,6,7,8,1,3,5]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [2,10,8,5,6,7,1,9,3,4]=>011001010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [6,3,8,5,4,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,4,5,6,7,8,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,4,2,3,5,6,7,8,9]=>01000000=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,3,2,4,5,6,7,8,9,10]=>010000000=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,4,6,3,8,7,5,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,6,1,8,7,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,3,6,8,7,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,6,3,8,7,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,5,8,7,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,8,5,7,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,6,8,5,7,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,8,3,7,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,8,1,7,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,5,1,8,7,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,6,5,8,3,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,5,8,1,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,8,5,1,7,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,6,8,7,3,5,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,6,8,7,1,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,6,8,7,1,3,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,6,8,5,1,3,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,6,5,1,8,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,6,5,1,3,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,6,5,3,8,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,6,5,8,3,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,8,5,3,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,6,8,7,3,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,4,6,8,7,5,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,8,7,5,2,1,3,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,1,4,7,5,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,5,3,2,7,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,6,3,5,8,2,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,1,7,8,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,2,7,8,4,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,2,7,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,3,1,7,4,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,7,1,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,6,5,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,3,2,1,7,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,3,8,1,7,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,3,8,7,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,8,2,7,6,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,8,2,7,6,5,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,2,6,5,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,7,6,2,5,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,3,7,2,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,1,7,5,4,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [8,6,3,7,1,5,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,3,7,6,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,7,6,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,2,1,7,6,5,3]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,6,4,2,5,3,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,2,7,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,3,2,4,5,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,2,6,4,3,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,2,4,6,3,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,6,2,3,7,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,2,8,6,3,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,6,8,2,7,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,3,8,2,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,2,3,8,5,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,8,4,2,5,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,6,2,8,5,4,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,2,3,8,6,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,3,8,2,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,2,5,6,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,7,3,2,8,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,3,6,8,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,3,6,8,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,8,3,2,5,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,2,5,8,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,3,4,5,6,7,9,1]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [7,2,3,4,5,6,9,8,1]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [6,2,3,4,5,9,7,8,1]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [5,2,3,4,9,6,7,8,1]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,2,3,9,5,6,7,8,1]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [3,2,9,4,5,6,7,8,1]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [2,9,3,4,5,6,7,8,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,2,3,4,5,6,7,8,10,1]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [6,2,3,4,5,1,8,9,7]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,2,3,4,5,6,7,10,9,1]=>100000011=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [5,2,3,4,1,7,9,8,6]=>10010011=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [7,2,3,4,5,6,10,8,9,1]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [6,2,3,5,8,1,7,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,3,1,6,9,7,8,5]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [6,2,3,4,5,10,7,8,9,1]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [5,2,4,8,1,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,1,5,9,6,7,8,4]=>11001001=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [5,2,3,4,10,6,7,8,9,1]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [2,1,4,9,5,6,7,8,3]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,2,3,10,5,6,7,8,9,1]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [1,3,9,4,5,6,7,8,2]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,2,10,4,5,6,7,8,9,1]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [2,10,3,4,5,6,7,8,9,1]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,3,5,6,4,7,8,1,9]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [1,3,4,6,7,5,8,9,2]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,6,7,5,8,9,1,10]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [2,3,6,5,7,4,8,1,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,3,5,6,7,1,8,4,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,6,4,5,7,3,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,6,3,4,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,7,5,6,8,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,6,7,4,5,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,3,4,7,6,8,5,9,2]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,3,4,6,7,8,2,9,5]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,3,4,5,7,8,6,9,10,2]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,5,6,3,4,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,6,3,4,7,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,3,6,4,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,5,6,8,3,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,6,3,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,5,2,8,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,2,5,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,3,7,4,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,3,7,6,4,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,3,6,7,4,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,6,3,7,4,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,7,6,3,4,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,7,3,6,4,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,7,2,5,6,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,7,5,6,2,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,7,4,1,3,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,3,1,8,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,1,5,8,7,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,5,1,7,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,5,8,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,6,4,1,8,7,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,5,2,1,8,6,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,2,1,8,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,3,6,2,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,7,3,1,2,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,8,3,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,4,6,3,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,1,2,4,8,7,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,3,8,4,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,3,1,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,2,3,1,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,3,1,2,4,8,7,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,7,5,2,3,6,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,8,4,5,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,2,3,7,6,4,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,7,3,5,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,5,3,4,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,6,5,4,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,8,4,5,1,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,1,7,8,5,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,5,1,4,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,7,1,4,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,7,1,4,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,2,5,3,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,5,1,4,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,7,3,1,2,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,8,6,2,3,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,5,4,2,1,6,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,5,3,8,2,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,1,8,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,1,7,6,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,2,1,8,4,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,6,5,2,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,1,2,7,6,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,2,1,7,6,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,7,8,2,4,6,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,2,5,4,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,3,7,8,2,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,7,3,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,3,6,8,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,8,2,7,3,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,6,3,5,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,3,6,1,5,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,7,8,4,6,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,5,6,2,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,1,7,4,5,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,6,4,7,5,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,6,3,8,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,4,2,1,6,7,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,6,8,4,7,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,5,1,4,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,6,5,3,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,7,3,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,5,7,3,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,6,8,4,2,7,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,4,1,8,2,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,1,8,2,7,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,8,5,3,2,6,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,5,1,7,6,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,4,3,8,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,2,7,8,6,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,6,1,4,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,7,8,6,1,3,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,8,6,5,2,4,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,2,7,8,6,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,2,5,3,1,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,5,6,3,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,7,5,4,1,3,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,1,6,7,5,3,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,4,3,1,5,2,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,6,4,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,5,3,1,8,4,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,6,4,3,1,5,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,7,8,6,5,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,5,7,3,8,6,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,3,7,2,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,1,5,8,2,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,2,1,8,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,5,8,3,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,6,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,8,2,6,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,8,1,6,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,6,5,7,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,4,1,2,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,4,8,5,2,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,8,4,1,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,4,5,1,8,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,1,2,8,5,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,3,5,7,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,2,3,8,6,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,8,5,3,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,3,5,6,1,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,2,6,4,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,2,8,5,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,5,6,4,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,4,6,7,5,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,4,5,8,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,1,3,5,8,2,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,1,7,2,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,7,5,8,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,7,6,2,1,5,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,6,1,3,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,4,2,7,6,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [2,8,4,6,7,1,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,1,4,6,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,6,1,2,5,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,7,8,4,2,6,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,2,8,7,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,3,8,4,5,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,8,1,4,3,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,7,2,8,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,1,3,5,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,7,1,8,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,1,8,7,2,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,7,2,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,3,2,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,3,2,7,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,2,4,7,1,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,4,8,7,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,5,7,1,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,3,1,7,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,1,3,7,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,8,1,3,7,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,4,6,8,7,1,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,6,4,7,1,2,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,7,5,8,2,3,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,1,6,8,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,7,6,8,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,1,7,6,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,8,3,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,1,2,8,4,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,7,8,4,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,5,2,4,1,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,2,3,1,8,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,1,3,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,4,2,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,7,8,5,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,3,7,8,5,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,1,8,5,2,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,8,5,4,2,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,6,3,5,8,4,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,1,3,2,7,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,2,4,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,5,6,1,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,1,2,6,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,6,7,8,2,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,4,8,6,2,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,4,1,3,8,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,5,4,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,2,6,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,8,2,3,7,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,7,2,3,6,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,3,4,1,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,7,2,3,4,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,2,4,6,7,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,2,6,3,5,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,5,6,1,8,7,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,3,4,5,1,7,6,8,9]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,3,4,1,6,5,7,8,9]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,3,1,5,4,6,7,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,4,8,5,6,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,8,5,6,1,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,8,4,7,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,4,5,1,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,5,2,6,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,4,5,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,5,1,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,2,4,1,5,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,3,2,7,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,3,2,1,6,7,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,7,5,2,3,6,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,5,2,3,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,5,3,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,4,1,6,3,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,5,3,8,2,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,6,8,3,7,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,8,6,7,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,6,3,4,1,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,2,4,1,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,8,5,1,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,5,3,8,4,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,6,8,1,3,4,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,4,5,6,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,3,5,7,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,7,2,4,3,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,2,4,7,5,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,7,2,4,6,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,3,2,4,6,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,3,7,4,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,3,1,4,2,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,4,3,5,7,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,7,4,1,5,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,1,7,4,6,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,6,5,1,7,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,2,6,7,1,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,2,8,6,7,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,2,7,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,8,6,7,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,2,8,7,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,7,6,5,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,4,2,6,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,8,6,4,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,7,5,6,8,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,8,6,3,2,4,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,4,2,1,7,8,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,4,2,1,7,6,3,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,6,5,2,7,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,1,6,7,2,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,3,1,7,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,6,3,8,7,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,7,3,4,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,6,7,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,3,5,2,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,3,2,6,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,3,7,2,6,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,7,2,4,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,4,8,2,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,4,8,3,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,6,3,5,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,7,6,5,2,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,5,6,8,2,4,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,1,5,2,4,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,1,5,2,4,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,3,5,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,3,5,4,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,5,6,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,8,3,6,4,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,6,4,5,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,7,4,6,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,7,6,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,5,1,6,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,7,5,6,8,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,7,4,3,1,8,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,8,5,3,1,4,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,6,2,5,3,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,3,2,5,4,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,8,2,5,4,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,2,6,3,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,6,4,3,5,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,6,8,2,7,5,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,7,4,3,2,6,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,4,7,2,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,7,6,2,8,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,6,2,8,4,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,2,8,4,3,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,8,4,3,6,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,5,6,3,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,3,5,2,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,7,2,5,8,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,3,2,7,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,5,8,2,6,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,6,4,8,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,6,5,2,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,8,2,6,5,4,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,6,3,8,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,2,7,6,4,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,3,8,7,5,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,3,8,7,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,8,6,2,4,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,8,5,4,2,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,7,2,4,8,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,6,5,3,2,8,7,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,8,7,5,4,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,8,6,5,4,3,7]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,1,3,4,6,5,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,1,4,6,5,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,3,1,2,6,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,1,7,5,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,1,7,5,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,1,4,2,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,3,5,6,2,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,5,3,2,1,6,4,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,1,5,4,2,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,2,4,1,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,7,1,5,2,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,1,5,2,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,8,4,1,3,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,4,1,3,5,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,5,4,1,2,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,8,2,7,5,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,8,4,1,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,6,1,5,2,3,4]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,1,4,8,6,3,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,6,5,3,4,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,2,5,3,4,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,5,1,3,4,7,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,5,1,3,6,2,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,1,5,3,6,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,3,5,4,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,4,8,3,6,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,5,2,4,3,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,8,2,5,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,2,5,3,7,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,1,5,3,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,6,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,2,6,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,3,1,6,4,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,3,1,6,4,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,3,1,4,6,5,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,3,2,7,5,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,1,7,8,5,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,3,4,1,8,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,3,1,6,2,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,6,4,2,5,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,2,4,6,5,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,7,3,5,6,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,5,2,4,6,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,7,5,4,6,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,2,6,1,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,1,7,6,4,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,6,4,2,9,7,5,3]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [9,7,5,3,1,8,6,4,2,10]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,6,4,2,1,7,5,3,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [8,7,5,3,1,6,4,2,9]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,5,3,2,1,6,4,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,5,3,1,4,2,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,8,6,4,3,2,7,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,9,7,5,3,2,8,6,4]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,8,7,6,4,2,5,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,9,8,6,4,2,7,5,3]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,10,8,6,4,2,9,7,5,3]=>011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [8,4,6,7,5,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,4,8,6,7,5,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,2,5,8,4,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,3,6,8,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,2,5,7,4,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,1,3,6,8,5,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,8,3,6,7,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,7,6,4,5,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,1,8,6,4,5,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,2,7,4,5,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,6,4,3,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,2,6,4,3,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,2,5,4,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,2,8,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,7,5,8,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,5,8,1,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,3,8,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,4,8,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,4,8,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,6,4,2,5,3,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,4,6,2,3,5,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,4,5,7,3,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,5,1,4,3,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,5,1,4,3,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,6,8,3,5,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,1,5,3,8,6,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,2,7,6,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,8,7,3,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,3,6,7,1,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,2,3,1,5,8,6,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,1,2,4,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,6,5,4,3,2,1,7,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [3,1,2,4,5,6,7,8,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [6,3,5,1,2,4,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [9,7,6,5,4,3,2,1,8,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,8,6,9,4,7,2,5,1,3]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,4,8,7,5,3,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,6,8,7,5,3,4,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,5,1,4,3,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,1,2,4,3,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,5,3,1,2,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,7,5,3,1,2,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,8,7,5,3,1,2]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,8,7,5,3,1,4,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,7,5,6,3,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,3,4,6,5,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,4,8,7,3,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,3,1,2,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,3,4,1,2,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,3,1,6,5,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,3,2,6,5,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,7,3,4,6,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,7,3,6,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,7,1,6,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,7,1,2,6,5,3,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,2,4,3,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,7,3,4,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,5,1,2,4,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,7,1,4,3,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,3,4,1,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,5,6,3,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,8,7,3,1,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,7,3,1,4,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,3,1,8,7,5,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,1,2,6,8,7,5]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,8,7,5,6,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,7,5,3,1,6,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,7,5,3,6,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,7,5,6,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,7,5,1,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,7,5,1,2,4,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,5,6,1,2,4,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,1,2,4,6,5,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,4,8,7,3,6,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,2,4,3,6,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,7,1,2,6,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,5,3,1,2,6,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,7,5,3,6,4,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,1,4,3,6,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,3,4,1,6,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [11,2,3,4,5,6,7,8,9,10,1]=>1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27) [10,3,2,4,5,6,7,8,9,1]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [9,4,3,2,5,6,7,8,1]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [8,1,2,3,4,5,7,6,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,1,2,3,5,4,6,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,9,2,3,4,5,6,8,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,1,2,3,4,5,6,8,7,10]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,1,2,3,4,7,6,5,9]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [8,1,2,3,4,6,5,7,9]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,1,2,6,4,5,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,2,4,3,5,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,9,2,3,4,5,8,7,6]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [1,9,2,3,4,5,7,6,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [1,10,2,3,4,5,6,7,9,8]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [4,7,3,6,5,1,2,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,4,2,8,3,1,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,6,1,5,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,8,5,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,2,1,8,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,6,4,3,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,3,8,7,4,2,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,3,2,8,4,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,1,3,2,4,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,8,3,7,4,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,7,3,5,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,3,5,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,8,1,3,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,2,1,3,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,1,3,5,2,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,3,5,7,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,3,8,6,2,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,1,3,7,5,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,1,4,2,7,6,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,4,5,6,7,8,2,9]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,3,4,5,6,7,8,10,2,9]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,1,4,5,6,7,9,3,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,4,5,6,7,8,3,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,3,4,5,6,7,8,9,2,10]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,5,7,3,6,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,2,5,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,4,7,6,8,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,3,6,7,4,2,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,4,7,8,5,3,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,1,4,7,6,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,3,7,6,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,3,6,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,2,4,5,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,6,2,4,7,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,2,6,5,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,6,7,4,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,5,6,3,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,6,4,3,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,2,7,5,4,3,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,1,7,5,4,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,6,1,7,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,1,2,8,4,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,8,6,5,4,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,1,7,5,4,3,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,8,6,5,4,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,7,6,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,1,8,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,7,1,6,8,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,7,6,1,8,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,7,6,8,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,8,6,3,2,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,6,7,5,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,7,5,6,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,6,7,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,8,6,7,3,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,7,8,6,3,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,8,7,5,4,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,3,8,7,5,4,2,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,2,7,6,4,3,1,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,7,6,4,3,2,5]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,8,6,7,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,5,6,2,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,8,1,7,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,9,8,7,5,4,3,2]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,4,9,8,7,6,5,3,2]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,3,9,8,7,6,5,4,2]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,7,1,9,6,5,4,3,2]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,8,10,9,7,6,5,4,3,2]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [6,7,9,1,8,5,4,3,2]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [1,7,10,9,8,6,5,4,3,2]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [5,6,9,8,1,7,4,3,2]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [4,1,8,7,3,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,8,4,1,7,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,9,8,7,1,6,3,2]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [1,5,10,9,8,7,6,4,3,2]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [4,5,8,7,3,1,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,9,8,7,6,1,5,2]=>00111101=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [1,4,10,9,8,7,6,5,3,2]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [2,3,9,8,7,6,5,1,4]=>00111110=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,8,1,10,7,6,5,4,3,2]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,7,6,9,8,5,4,3,2]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [7,8,10,1,9,6,5,4,3,2]=>001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,6,9,5,8,7,4,3,2]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,7,6,1,9,5,4,3,2]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [6,7,10,9,1,8,5,4,3,2]=>001101111=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [3,1,8,4,7,6,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,9,8,4,7,6,3,2]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,7,9,5,1,8,4,3,2]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [6,5,10,9,8,1,7,4,3,2]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [1,4,9,8,7,3,6,5,2]=>00111011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [5,6,9,8,4,1,7,3,2]=>00111011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [4,5,10,9,8,7,1,6,3,2]=>001111011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [1,3,9,8,7,6,2,5,4]=>00111101=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [1,5,8,4,3,7,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,9,8,7,3,1,6,2]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [3,4,10,9,8,7,6,1,5,2]=>001111101=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [3,4,9,8,7,6,2,1,5]=>00111110=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [3,2,10,9,8,7,6,5,1,4]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,1,7,2,5,6,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,3,5,2,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,1,5,4,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,4,3,7,5,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,1,6,7,5,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,5,6,3,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,4,5,6,2,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,4,7,6,2,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,1,7,8,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,6,2,8,7,4,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,5,1,7,6,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,5,6,4,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,2,5,6,7,1,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,5,3,7,6,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,5,6,2,8,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,4,2,8,5,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,4,1,6,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,1,4,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,1,6,3,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,4,1,6,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,4,2,5,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,5,1,4,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,1,3,6,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,1,3,8,4,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,1,6,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,1,4,5,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,4,2,1,8,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,5,7,2,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,5,7,3,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,7,2,4,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,7,2,1,4,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,7,5,1,2,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,4,6,2,1,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,4,6,1,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,7,6,1,2,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,8,7,6,1,3,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,6,3,7,5,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,3,5,6,1,4,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,8,1,4,5,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,2,7,6,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,3,1,4,5,2,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,2,5,1,6,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,3,1,6,4,7,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,3,1,4,5,6,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,4,1,5,6,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,1,7,5,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,3,1,7,4,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,3,1,6,7,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,3,7,1,6,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,3,8,1,4,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,6,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,7,3,1,5,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,3,1,6,4,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,1,5,2,3,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,5,1,2,6,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,1,2,7,5,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,4,1,2,5,3,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,5,1,2,3,6,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,5,3,7,4,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,3,8,4,2,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,2,5,3,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,3,4,5,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,6,4,2,5,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,6,4,1,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,3,4,6,1,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,5,3,1,6,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,4,8,3,2,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,8,5,3,2,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,6,4,2,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,4,2,5,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,7,4,3,5,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,1,8,5,2,4,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,5,1,4,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,1,6,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,6,5,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,8,6,1,5,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,2,6,1,4,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,8,6,2,4,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,3,1,2,5,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,3,1,2,4,7,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,2,1,6,5,3,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,1,5,6,2,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,4,1,5,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,1,6,4,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,1,3,7,6,4,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,1,2,8,3,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,4,1,2,3,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,2,5,3,4,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,7,3,2,8,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,6,3,2,7,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,3,7,2,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,6,2,8,5,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,6,2,8,4,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,3,1,7,5,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,6,5,7,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,5,7,4,3,6,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,5,7,4,6,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,8,6,1,7,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,6,8,1,7,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,7,1,8,6,4,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,1,7,8,5,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,8,5,6,7,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,8,5,6,7,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,3,1,6,5,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,5,4,2,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,8,4,2,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,8,6,5,4,2,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,8,7,4,5,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,5,4,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,4,2,5,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,5,8,6,4,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,5,6,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,3,4,6,8,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,7,3,2,5,6,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,1,2,3,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,6,2,4,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,4,6,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,2,8,1,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,8,2,3,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,4,8,2,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,8,4,2,3,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,6,2,1,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,6,4,2,5,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,2,1,8,4,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,4,3,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,6,8,1,3,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,1,6,4,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,1,4,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,8,7,5,4,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [9,3,4,2,5,6,7,8,1]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,2,3,4,5,7,9,8,6]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,4,6,7,9,8,5]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,4,6,8,9,7,5]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,4,6,9,8,7,5]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,3,5,6,7,9,8,4]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,5,6,8,9,7,4]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,5,6,9,8,7,4]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,3,5,7,9,8,6,4]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,3,5,9,8,7,6,4]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [1,2,4,5,7,8,9,6,3]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,4,5,7,9,8,6,3]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,4,5,9,8,7,6,3]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [1,2,4,6,9,8,7,5,3]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [1,2,4,9,8,7,6,5,3]=>00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,3,5,7,9,8,6,4,2]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [1,3,5,9,8,7,6,4,2]=>00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,3,4,5,6,8,10,9,7]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,4,5,7,8,10,9,6]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,4,5,7,9,10,8,6]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,4,5,7,10,9,8,6]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,3,4,6,7,8,10,9,5]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,4,6,7,9,10,8,5]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,4,6,7,10,9,8,5]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,3,4,6,8,10,9,7,5]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,3,4,6,10,9,8,7,5]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,3,5,6,7,9,10,8,4]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,5,6,7,10,9,8,4]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,3,5,6,8,9,10,7,4]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,2,3,5,6,8,10,9,7,4]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,3,5,6,10,9,8,7,4]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,3,5,7,9,10,8,6,4]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,3,5,7,10,9,8,6,4]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,3,5,10,9,8,7,6,4]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,4,5,7,8,10,9,6,3]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,4,5,7,9,10,8,6,3]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,2,4,5,7,10,9,8,6,3]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,4,5,10,9,8,7,6,3]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,4,6,10,9,8,7,5,3]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,2,4,10,9,8,7,6,5,3]=>000111111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,3,5,7,9,10,8,6,4,2]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,3,5,7,10,9,8,6,4,2]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,3,5,10,9,8,7,6,4,2]=>000111111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,3,10,9,8,7,6,5,4,2]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [6,7,3,4,8,5,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,1,8,2,5,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,7,2,5,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,5,7,3,2,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,1,7,2,8,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,1,6,2,8,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,2,5,3,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,3,4,8,2,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,4,5,7,8,2,3]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,3,4,7,1,8,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,3,4,5,6,8,2]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,5,2,7,6,3,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,3,5,6,2,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,5,6,1,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,5,1,6,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,7,8,6,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,7,2,1,3,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,7,6,8,5,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,5,2,6,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,1,2,5,3,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,7,2,6,3,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,2,4,8,1,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,7,3,8,6,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,5,1,8,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,1,2,4,3,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,2,1,5,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,2,8,7,1,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,3,1,7,6,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,8,7,1,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,7,3,1,6,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,8,2,1,7,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,7,2,6,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,4,1,8,6,5,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,2,8,1,7,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,4,2,1,7,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,4,7,1,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,3,1,7,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,6,1,4,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,4,1,2,5,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,7,4,2,5,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,7,5,8,1,2,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,7,5,8,3,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,6,5,7,4,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,6,5,7,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,1,6,8,4,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,8,7,4,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,5,7,4,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,7,5,8,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,3,8,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,3,6,1,2,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,3,1,6,2,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,7,5,3,6,4,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,6,3,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,5,3,6,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,5,3,1,4,6,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,7,5,3,1,4,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,5,3,4,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,6,2,8,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,6,3,2,4,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,1,8,3,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,7,2,1,5,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,7,2,8,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,5,6,7,3,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,6,2,8,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,7,3,8,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,3,2,5,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,3,1,5,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,5,6,7,2,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,6,2,7,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,6,7,8,5,1,3]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,4,6,7,8,3,1,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,7,6,2,8,5,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,7,3,2,4,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,5,8,7,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,1,7,2,6,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,1,2,8,7,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,1,2,8,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,1,6,2,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,5,1,7,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,1,4,8,2,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,6,1,7,2,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,1,3,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,6,1,3,8,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,1,4,2,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,6,4,8,3,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,7,8,4,2,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,6,4,2,5,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,5,7,8,3,6,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,5,7,8,3,6,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,7,8,2,4,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,4,7,3,2,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,5,4,2,7,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,4,6,3,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,5,3,2,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,6,1,4,2,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,3,8,4,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,2,4,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,5,7,8,3,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,2,6,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,7,8,2,1,4,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,5,7,1,6,3,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,8,3,6,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,7,2,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,1,8,2,4,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,6,3,4,8,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,4,7,8,6,1,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,1,3,4,8,5,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,5,7,1,8,6,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,1,6,2,3,4,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,4,2,5,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,1,2,3,7,8,9,4]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [1,6,7,2,4,3,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,3,4,5,2,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,6,4,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,2,5,6,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,8,2,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,6,7,2,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,8,2,5,1,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,2,5,8,4,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,6,7,8,3,5,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,1,5,3,6,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,7,4,6,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,1,5,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,8,4,6,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,5,4,6,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,7,5,2,6,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,8,7,4,6,1,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,2,5,6,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,5,3,6,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,8,1,5,7,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,8,3,5,2,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,6,3,7,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,7,8,4,5,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,2,8,4,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,8,5,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,8,2,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,1,8,6,4,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,8,4,7,6,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,8,1,7,4,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,3,7,6,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,7,2,8,6,4,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,8,1,6,2,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,7,8,5,6,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,7,8,5,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,8,6,4,7,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,8,5,7,6,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,8,5,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,5,8,6,7,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,7,6,1,2,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,1,4,8,3,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,5,4,1,3,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,8,7,1,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,6,3,1,7,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,5,1,8,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,8,7,3,2,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,8,3,6,5,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,8,6,4,7,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,6,4,3,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,1,8,7,3,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,1,7,6,8,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,7,6,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,2,6,1,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,7,4,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,7,4,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,7,8,2,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,8,4,5,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,6,7,8,3,4,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,8,1,2,7,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,1,8,7,2,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,4,3,7,2,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,2,8,7,3,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,2,8,4,6,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,1,7,6,2,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,7,6,3,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,6,8,3,5,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,7,6,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,6,5,3,4,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,1,8,7,6,5,2,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,6,5,2,8,4,3,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [6,5,1,8,7,4,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,5,1,8,6,4,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,1,7,6,4,3,2]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,5,3,7,6,1,4,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,7,6,1,5,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,1,8,2,3,4,5,6,10,7]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [9,7,1,2,3,4,5,6,10,8]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [2,10,1,9,3,4,5,6,7,8]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,10,8,1,3,4,5,6,7,9]=>011000000=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [8,3,7,5,4,1,6,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,3,1,8,7,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,8,1,5,2,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,5,7,1,3,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,6,2,7,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,5,7,2,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,5,3,4,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,5,2,6,4,3,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,4,5,2,1,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,2,6,1,4,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,5,8,1,4,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,7,1,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,6,7,8,2,1,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,2,6,7,8,4,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,7,4,8,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,3,8,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,1,8,5,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,7,8,5,3,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,6,7,4,8,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,7,8,3,2,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,1,2,4,5,3,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,7,3,2,6,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,2,5,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,1,2,4,5,3,7,8,9]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,4,1,2,3,6,7,8,9]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,1,2,3,5,6,7,4,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,1,6,3,5,2,7,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [8,1,7,3,2,6,4,5,9]=>10110100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [5,7,1,6,2,4,3,8,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [7,3,4,6,1,2,5,8,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [6,1,2,9,4,5,7,8,3]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,1,6,3,8,5,7,2,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,8,5,1,7,2,3,4,9]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [8,3,4,5,7,1,2,6,9]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,7,1,9,2,8,4,6,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,9,4,6,1,8,2,3,5]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,1,3,2,5,6,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [6,1,2,4,5,3,7,8,9,10]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [5,4,1,2,3,6,7,8,9,10]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,1,2,3,5,6,7,4,9,10]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [4,1,6,3,5,2,7,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [8,1,7,3,2,6,4,5,9,10]=>101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [5,7,1,6,2,4,3,8,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,3,4,6,1,2,5,8,9,10]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [6,1,2,9,4,5,7,8,3,10]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [4,1,6,3,8,5,7,2,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,8,5,1,7,2,3,4,9,10]=>011010000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [8,3,4,5,7,1,2,6,9,10]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [10,1,6,3,9,5,2,8,4,7]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,7,1,9,2,8,4,6,3,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,9,4,6,1,8,2,3,5,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [9,3,4,5,6,8,1,2,7,10]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [4,1,6,3,8,5,10,7,9,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,8,10,1,7,2,9,3,5,4]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [8,10,4,5,7,1,9,2,3,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,3,4,5,6,7,9,1,2,8]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [8,7,2,1,5,4,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,4,8,6,5,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,6,5,2,4,1,8,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,4,3,1,5,8,2]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,1,8,7,2,3,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,1,2,7,3,4,5]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,8,2,7,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,1,4,5,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,7,2,5,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,7,9,1,2,4,6,8,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [4,1,2,3,5,6,7,8,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [5,1,2,3,4,6,7,8,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [8,1,2,3,4,5,6,7,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [7,1,2,3,4,5,6,8,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [6,1,2,3,4,5,7,8,9,10]=>100000000=>([(0,2),(0,9),(1,11),(2,10),(3,4),(3,13),(4,6),(4,12),(5,3),(5,15),(6,8),(6,14),(7,5),(7,17),(8,1),(8,16),(9,7),(9,10),(10,17),(12,14),(13,12),(14,16),(15,13),(16,11),(17,15)],18) [3,1,2,4,5,6,7,8,9,10,11,12]=>10000000000=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [3,2,6,4,8,7,5,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,2,8,6,5,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,1,8,6,5,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,7,4,8,3,6,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,3,8,6,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,6,8,7,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,2,5,7,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,2,6,8,7,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,6,4,8,7,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,6,8,7,5,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,1,4,5,7,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,8,1,4,2,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,3,5,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,1,2,5,4,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,3,6,8,7,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,8,3,5,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,8,3,5,7,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,2,4,5,7,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,2,5,1,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,5,7,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,5,2,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,6,4,1,3,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,6,4,1,3,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,4,2,5,6,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,2,1,4,6,5,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,4,3,2,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,1,3,5,6,2,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,1,3,5,6,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,6,2,1,5,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,6,1,5,8,7,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,7,1,5,6,8,2]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,7,4,1,2,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,2,7,1,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,2,8,1,6,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,1,5,6,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,8,1,5,3,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,2,1,5,3,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,2,5,3,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,2,3,6,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,8,5,3,6,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,2,6,4,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,5,3,8,6,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,5,2,8,6,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,5,3,2,6,7,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,4,2,8,6,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,2,7,5,6,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,7,4,2,8,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,5,7,4,6,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,2,4,3,8,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,1,2,5,4,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,1,8,5,2,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,1,8,5,4,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,2,8,5,6,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,2,6,8,5,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,4,8,5,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,6,8,5,4,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,5,8,4,6,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,2,8,4,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,5,8,2,6,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,4,2,8,3,6,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,8,2,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,4,8,3,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,5,8,4,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,8,3,5,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,3,2,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,2,3,4,6,7,1]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,2,1,7,8,5,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,6,8,3,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,5,2,7,1,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,6,1,2,3,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,7,6,3,2,8,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,6,7,3,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,6,2,3,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,2,1,4,3,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,7,8,5,4,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,4,5,2,1,8,6,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,4,8,3,1,2,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,8,5,6,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,8,5,1,3,4,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,7,8,6,1,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,2,5,1,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,2,1,5,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,1,3,6,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,7,5,1,8,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,5,3,8,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,6,3,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,4,7,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,1,8,6,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,1,7,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,6,2,1,7,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,6,2,4,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,3,2,4,6,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,5,3,1,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,4,8,7,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,8,7,3,1,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,8,1,7,4,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,6,3,1,4,5,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,6,1,7,5,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,7,5,4,8,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,7,5,2,1,3,4]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,2,8,5,1,3,4]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,7,6,2,8,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,5,2,7,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,5,6,2,3,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,8,1,2,5,6,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,4,1,2,5,7,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,1,4,7,2,5,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,3,2,7,4,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,4,3,7,5,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,6,1,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,5,7,1,2,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,2,3,5,4,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,2,4,3,6,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,7,2,4,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,7,5,8,1,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,8,2,1,5,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,6,7,8,5,1,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,3,7,1,6,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,7,6,5,3,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,1,2,8,3,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,8,1,3,7,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,8,5,3,2,4,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,8,1,6,7,4,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,8,4,6,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,7,4,3,8,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,4,6,2,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,8,4,6,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,6,5,4,7,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,8,7,3,2,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,4,6,7,3,8,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,3,4,6,2,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,1,6,2,5,8,7,9]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,4,1,2,6,5,8,7,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,4,1,6,2,5,8,7,10,9]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,5,1,6,2,4,8,7,9]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,5,1,6,3,4,8,7,9]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,5,1,2,6,4,8,7,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,5,1,3,6,4,8,7,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,7,1,4,6,3,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,2,8,4,7,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,7,5,8,6,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,1,8,3,4,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,6,3,5,2,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,3,5,4,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,1,6,8,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,2,8,4,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,5,6,3,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,8,4,2,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,8,7,5,2,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,6,4,2,3,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,8,7,4,2,1,3,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,1,5,2,7,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,7,3,2,5,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,5,4,8,7,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,4,8,6,3,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,2,4,7,3,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,3,5,7,4,1,2]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,3,2,1,4,7,6]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,7,6,8,4,3,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,3,2,5,7,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,3,4,2,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,3,5,8,4,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,6,3,2,8,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,5,8,4,6,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,3,2,7,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,6,2,3,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,6,2,3,4,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,4,3,8,5,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,5,7,6,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,7,3,6,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,3,5,7,8,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,6,3,2,7,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,7,6,8,4,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,4,7,5,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,5,2,1,7,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,6,8,4,3,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,7,2,6,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,2,6,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,2,5,3,4,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,2,4,5,3,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,2,4,3,5,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,2,3,5,4,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,7,1,6,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,6,1,5,3,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,6,1,4,3,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,7,6,1,3,5,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,1,5,4,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,2,7,1,5,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,2,8,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,4,2,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,4,3,1,5,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,3,7,1,5,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,6,1,2,5,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,1,2,5,4,3]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,6,1,4,2,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,5,8,6,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,7,3,8,4,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,5,4,1,2,6,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,7,1,5,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,6,1,3,4,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,1,3,4,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,5,1,3,4,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,8,3,4,6,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,1,3,4,2,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,1,3,4,2,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,6,4,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,3,8,2,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,3,7,8,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,3,8,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,3,6,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,5,8,4,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,7,5,8,6,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,8,5,3,6,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,5,8,3,4,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,6,3,4,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,6,4,1,2,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,5,8,4,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,8,1,3,4,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,4,7,8,1,2,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,7,6,8,1,2,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,2,5,8,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,2,7,5,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,2,5,7,8,6,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,3,1,5,4,6,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,1,2,6,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,1,2,8,5,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,1,7,4,6,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,7,1,2,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,8,3,5,6,1,2]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,7,3,5,6,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,6,4,2,3,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,8,2,5,6,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,4,6,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,8,5,2,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,5,8,1,6,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,7,4,2,1,5,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,6,8,4,7,3,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,8,5,2,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,8,1,5,6,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,8,1,2,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,2,4,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,8,2,3,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,3,8,1,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,5,7,1,6,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,3,8,2,4,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,2,7,5,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,1,8,6,3,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,6,1,3,2,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,4,6,1,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,4,6,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,2,5,6,3,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,7,5,4,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,7,2,8,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,4,1,7,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,6,1,7,4,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,1,8,6,5,4,3]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,7,6,1,8,5,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,4,2,1,3,5,7,9]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [8,6,2,1,4,3,5,7,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [8,4,2,1,6,3,5,7,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [6,4,2,1,8,3,5,7,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [8,6,4,2,9,1,3,5,7]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [9,6,4,2,7,1,3,5,8]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [9,7,4,2,5,1,3,6,8]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [9,7,5,2,3,1,4,6,8]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [9,7,5,3,1,2,4,6,8]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [10,8,6,4,2,1,3,5,7,9]=>111110000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [10,8,6,2,1,4,3,5,7,9]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [8,2,1,4,3,6,5,7,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [10,8,4,2,1,6,3,5,7,9]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [4,2,1,6,3,5,8,7,9]=>11010010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [10,6,4,2,1,8,3,5,7,9]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,4,2,1,8,3,5,9,7]=>11101001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [8,6,4,2,1,10,3,5,7,9]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,4,2,7,1,3,5,8,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,6,4,2,9,1,3,5,7,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,2,8,3,1,4,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,9,4,2,5,1,3,6,7]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [9,6,4,2,7,1,3,5,8,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [2,7,8,3,1,4,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [9,6,7,2,3,1,4,5,8]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,7,4,2,5,1,3,6,8,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [9,7,4,5,1,2,3,6,8]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,7,5,2,3,1,4,6,8,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [9,7,5,3,1,2,4,6,8,10]=>111100000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,5,3,2,8,6,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,3,2,6,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,8,5,6,3,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,6,7,3,2,8,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,5,2,3,4,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,5,2,4,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,7,8,3,2,4,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,8,6,2,3,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,4,5,6,7,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,8,6,3,4,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,8,6,3,5,7,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,7,8,4,3,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,6,7,4,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,8,4,2,3,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,6,7,8,3,4,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,4,2,3,8,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,8,4,2,3,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,3,5,6,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,3,4,2,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,3,7,8,5,4,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,7,4,6,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,5,2,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,4,5,2,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,8,3,4,5,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,8,4,5,6,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,4,5,6,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,7,3,4,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,7,2,3,4,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,5,2,6,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,7,3,2,5,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,8,1,6,7,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,2,1,3,7,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,8,2,6,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,3,6,7,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,4,6,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,6,5,2,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,7,6,4,3,5,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,8,7,5,3,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,7,3,2,4,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,7,5,6,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,4,7,5,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,6,4,5,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,7,6,3,1,5,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,5,2,4,7,6,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,2,6,4,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,6,7,4,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,7,6,4,8,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,2,8,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,2,7,4,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,5,7,4,6,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,7,5,4,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,5,2,4,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,7,5,4,8,6,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,5,1,6,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,6,1,3,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,7,6,8,2,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,4,1,3,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,5,2,1,4,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,6,4,1,8,2,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,4,2,1,6,3,8]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,1,6,7,3,4,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,1,6,7,4,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,8,6,3,7,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,8,1,2,5,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,9,3,4,5,6,8,7]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,2,3,8,4,5,9,6,7]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [1,2,3,4,9,5,6,8,7]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,1,3,4,8,5,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,3,4,5,9,6,8,7]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [7,1,2,3,4,8,5,9,6]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [6,9,1,2,3,4,8,5,7]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [1,2,10,3,4,5,6,7,9,8]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [5,1,9,2,3,4,8,6,7]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [1,2,3,9,4,5,6,10,7,8]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [4,1,2,3,5,8,6,9,7]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,2,3,4,10,5,6,7,9,8]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [3,1,2,4,9,5,8,6,7]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [1,2,3,4,5,10,6,7,9,8]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [2,1,3,4,5,9,6,8,7]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,2,3,4,5,6,9,10,7,8]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [10,1,2,3,4,5,6,7,11,8,9]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [8,1,2,3,4,5,9,6,10,7]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [1,7,2,3,4,5,9,8,6]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [7,10,1,2,3,4,5,9,6,8]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [1,6,2,3,4,5,9,8,7]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [6,1,2,3,7,4,8,9,5]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,1,10,2,3,4,5,9,7,8]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [5,7,1,2,6,8,3,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,3,8,5,4,6,9,7]=>00011001=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [5,9,1,2,6,3,4,8,7]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [5,1,2,3,4,6,9,7,10,8]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [1,4,2,3,5,6,9,8,7]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [1,5,2,3,6,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,9,5,2,3,6,8,7]=>10110001=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [4,1,2,3,10,5,6,9,7,8]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [1,3,2,4,5,6,9,8,7]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [3,4,1,2,5,6,8,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,1,2,4,5,10,6,9,7,8]=>100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [2,3,1,4,9,5,6,8,7]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,5,7,4,1,8,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,4,7,5,1,2,3]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,4,1,2,5,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,4,3,1,6,5,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,4,6,1,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,5,6,1,4,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,7,3,5,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,2,8,5,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,3,4,6,9,5,7]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,1,2,4,6,9,3,5,7]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,1,2,3,4,5,9,8,7]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [5,1,2,3,4,8,6,9,7]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [4,1,2,3,9,6,8,5,7]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [9,1,2,3,4,5,7,10,6,8]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,3,1,2,5,8,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,1,2,8,4,6,9,5,7]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,3,5,7,2,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,3,8,5,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,9,4,6,8,3,5,7]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [9,1,2,3,5,7,10,4,6,8]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [1,8,2,4,6,9,3,5,7]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [9,1,3,5,7,10,2,4,6,8]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [7,3,1,2,8,4,5,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,4,7,6,3,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,4,5,3,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,2,5,6,7,3,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,4,1,6,3,7,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,1,3,6,7,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,7,6,3,4,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,7,5,4,8,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,2,1,6,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,8,2,4,7,6,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,1,6,4,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,5,7,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,4,7,3,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,2,7,4,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,1,8,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,1,6,8,3,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,1,8,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,1,7,3,8,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,5,6,7,1,4,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,4,6,8,3,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,4,7,8,1,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,4,3,2,8,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,4,8,6,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,6,5,7,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,6,4,2,5,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,8,4,7,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,7,3,6,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,7,8,6,5,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,4,7,2,6,8,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,7,6,5,1,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,2,7,6,4,1,5,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,2,3,5,7,1,4,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,8,1,2,5,6,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,3,6,8,5,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,8,5,1,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,1,4,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,2,4,5,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,2,4,1,5,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,4,1,6,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,3,1,6,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,1,4,8,5,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,1,5,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,1,8,4,3,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,8,5,7,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,8,7,4,6,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,8,7,5,1,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,5,7,6,1,8,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,6,2,8,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,3,2,8,7,6,4]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,4,3,8,7,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,1,8,7,4,2,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,6,2,8,7,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,5,2,1,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,4,1,3,7,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,1,4,7,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,2,3,8,7,5,4,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,1,3,5,8,7,6,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,7,5,8,1,2,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,8,3,4,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,6,7,5,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,2,6,8,1,4,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,6,2,8,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,3,7,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,7,1,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,7,3,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,2,7,4,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,7,8,5,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,5,4,7,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,4,6,1,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,7,4,2,5,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,1,5,4,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,3,1,5,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,2,7,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,5,2,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,6,7,1,5,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,2,6,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,1,5,2,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,1,8,3,4,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,1,6,8,4,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,5,2,6,7,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,2,7,1,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,3,4,7,1,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,1,6,5,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,2,7,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,4,7,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,1,4,8,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,1,4,5,2,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,7,6,5,8,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,5,6,7,8,9,1,2]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,7,8,5,4,3,2,1,9]=>00111110=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [6,5,7,8,4,3,2,1,9]=>10011110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [6,5,4,7,8,3,2,1,9]=>11001110=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [6,5,4,3,7,8,2,1,9]=>11100110=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [6,5,4,3,2,7,8,1,9]=>11110010=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [7,8,9,5,4,3,2,1,6]=>00111110=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [7,8,9,6,5,4,3,2,1,10]=>001111110=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [6,7,8,9,4,3,2,1,5]=>00011110=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [7,6,8,9,5,4,3,2,1,10]=>100111110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [6,5,7,8,9,3,2,1,4]=>10001110=>([(0,5),(0,6),(1,4),(1,17),(1,27),(2,3),(2,16),(2,26),(3,8),(3,19),(4,9),(4,20),(5,2),(5,21),(5,22),(6,1),(6,21),(6,22),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,23),(18,24),(19,10),(19,23),(20,11),(20,24),(21,26),(21,27),(22,16),(22,17),(23,12),(23,25),(24,13),(24,25),(25,14),(25,15),(26,18),(26,19),(27,18),(27,20)],28) [7,6,5,8,9,4,3,2,1,10]=>110011110=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33) [6,5,4,7,8,9,2,1,3]=>11000110=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [7,6,5,4,8,9,3,2,1,10]=>111001110=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32) [6,5,4,3,7,8,9,1,2]=>11100010=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [7,6,5,4,3,8,9,2,1,10]=>111100110=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33) [6,5,4,3,2,7,8,9,1]=>11110001=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [7,6,5,4,3,2,8,9,1,10]=>111110010=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [3,5,7,6,8,2,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,3,7,6,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,4,3,7,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,6,4,7,5,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,5,3,6,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,3,6,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,3,7,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,3,7,5,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,3,6,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,6,2,5,4,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,2,5,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,1,4,6,5,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,7,2,5,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,3,6,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,8,4,6,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,7,3,6,5,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,5,4,1,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,6,4,1,5,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,8,3,7,5,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,4,8,5,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,1,4,8,6,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,1,5,8,6,4,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,8,3,7,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,3,7,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,7,2,6,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,1,4,8,5,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,7,4,8,5,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,6,3,7,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,3,8,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,3,8,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,4,8,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,6,3,8,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,3,8,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,3,8,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,5,3,7,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,6,4,8,5,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,5,4,8,6,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,4,3,7,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,3,8,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,4,3,8,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,4,3,8,6,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,3,8,6,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,3,1,7,6,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,3,1,7,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,4,3,1,6,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,1,3,6,4,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,1,3,6,5,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,2,4,7,6,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,5,3,1,6,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,5,3,1,7,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,1,7,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,6,4,1,7,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,4,1,6,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,3,1,6,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,3,1,6,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,7,3,1,5,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,6,3,1,5,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,4,8,6,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,1,3,7,5,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,1,5,3,7,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,6,4,7,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,8,5,1,6,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,4,1,5,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,7,4,1,5,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,2,5,6,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,2,4,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,8,7,4,3,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,8,1,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,1,5,2,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,3,2,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,5,7,8,6,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,6,5,3,2,1,4,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,7,6,4,3,2,1,5,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,7,5,4,3,2,1,6,9]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,7,6,5,4,1,2,3,9]=>11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [9,8,7,6,5,4,2,1,3,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,7,6,5,2,3,1,4,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,8,7,6,5,3,2,1,4,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,7,6,3,4,2,1,5,9]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [9,8,7,6,4,3,2,1,5,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,7,4,5,3,2,1,6,9]=>11011100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [9,8,7,5,4,3,2,1,6,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [8,5,6,4,3,2,1,7,9]=>10111100=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,8,6,5,4,3,2,1,7,10]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [6,7,5,4,3,2,1,8,9]=>01111100=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [8,6,2,3,1,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,1,7,4,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,7,3,5,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,7,3,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,7,8,5,4,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,4,2,1,5,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,3,2,4,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,6,4,7,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,3,2,4,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,3,7,5,8,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,5,3,2,4,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,8,1,5,6,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,7,1,8,4,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,7,6,2,4,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,3,8,4,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,3,8,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,2,7,8,3,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,1,8,5,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,5,8,1,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,1,5,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,4,1,3,6,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,1,8,4,6,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,1,4,7,5,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,7,9,5,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [5,8,7,6,9,4,3,2,1]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,8,7,6,5,9,3,2,1]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,8,7,6,5,4,9,2,1]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,8,7,6,5,4,3,9,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,2,8,4,6,3,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,1,5,4,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,8,5,4,6,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,6,8,4,5,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,8,4,6,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,3,5,7,8,1,2]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,6,5,1,4,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,4,8,1,3,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,6,8,4,1,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,6,8,4,7,5,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,7,2,8,6,3,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,8,5,4,7,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,4,7,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,6,1,4,8,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,5,2,1,4,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,5,6,1,4,8,7,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,2,3,7,1,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,4,8,7,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,4,6,7,8,1,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,2,6,8,1,3,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,1,6,3,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,2,6,4,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,2,6,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,5,6,2,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,6,1,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,4,8,6,3,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,2,1,8,5,4,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,3,2,1,6,4,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,5,2,1,8,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,2,4,3,5,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,3,7,2,1,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,2,1,5,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,2,8,1,6,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,8,3,2,7,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,2,7,3,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,8,2,3,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,8,2,1,6,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,9,2,4,5,6,7,8,3]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,1,3,4,5,6,7,8,2]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [3,5,7,4,6,2,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,6,2,4,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,7,2,5,3,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,8,3,1,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,7,3,1,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,7,6,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,7,1,8,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,8,6,2,5,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,1,7,6,4,2,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,8,2,6,4,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,4,6,8,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,7,5,6,8,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,7,4,8,1,3,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,2,6,4,5,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,1,7,2,5,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,7,1,5,4,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,6,5,8,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,3,4,5,8,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,8,4,5,6,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [10,1,3,4,5,6,7,8,9,2]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,8,3,4,5,6,9,2,7]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [8,2,3,4,5,1,9,7,6]=>10001011=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [1,2,7,4,5,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,9,4,5,6,7,3,2]=>10100011=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [7,9,3,4,5,6,1,8,2]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [11,1,3,4,5,6,7,8,9,10,2]=>1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27) [10,2,3,4,5,6,7,8,11,1,9]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [1,9,3,4,5,6,7,10,2,8]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [9,2,3,4,5,6,1,10,8,7]=>100001011=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [1,2,8,4,5,6,9,3,7]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [7,8,3,4,5,2,9,1,6]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,2,3,4,1,6,9,7,5]=>10010011=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [6,7,3,2,5,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,3,9,5,6,7,4,2]=>10010011=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [6,1,8,4,5,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,9,4,5,6,3,1,2]=>00100110=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [9,1,10,4,5,6,7,8,3,2]=>101000011=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34) [6,9,3,4,5,1,7,8,2]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,10,3,4,5,6,7,1,9,2]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [4,6,2,5,1,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,6,2,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,5,2,1,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,1,2,6,3,7,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,7,4,6,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,2,1,3,6,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,2,6,8,1,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,8,6,5,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,6,8,5,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,5,7,3,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,7,8,6,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,1,6,8,2,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,6,8,5,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,8,7,6,4,1,2]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,5,7,8,6,2,4,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,2,1,4,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,2,7,5,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,8,1,7,6,4,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [10,6,1,2,3,4,9,5,7,8]=>110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [10,7,1,2,3,4,9,5,6,8]=>110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [9,10,1,2,3,4,8,5,6,7]=>010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [10,1,5,2,3,4,6,7,8,9]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,1,2,5,3,4,6,7,8,9]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [5,1,2,3,10,4,6,7,8,9]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [7,6,1,2,3,4,10,9,5,8]=>110000110=>([(0,5),(0,6),(1,30),(1,32),(2,3),(2,29),(2,31),(3,4),(3,22),(3,28),(4,18),(4,26),(5,1),(5,23),(5,24),(6,2),(6,23),(6,24),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,13),(15,12),(16,7),(17,7),(18,19),(18,20),(19,11),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,25),(23,31),(23,32),(24,29),(24,30),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,15),(28,26),(29,22),(29,27),(30,9),(30,27),(31,8),(31,28),(32,8),(32,9)],33) [9,7,1,2,3,4,8,5,10,6]=>110000101=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34) [5,9,1,2,3,4,6,7,10,8]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [10,8,4,9,1,2,3,5,6,7]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [2,10,1,5,3,4,6,7,8,9]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [3,1,5,2,10,4,6,7,8,9]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [4,1,2,10,3,5,6,7,8,9]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [4,1,5,6,7,8,9,2,3]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,3,4,5,8,9,1,6,7]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,6,3,2,1,5,4,7]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,5,3,2,4,1,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,2,4,3,6,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,1,4,6,3,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,1,6,3,4,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,3,6,1,5,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,3,5,2,1,7,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,2,8,7,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,1,4,3,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,2,1,3,7,6]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,7,3,6,1,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,2,4,1,5,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,3,7,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,2,6,7,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,1,7,6,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,6,3,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,4,3,5,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,6,2,4,5,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,7,2,1,4,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,1,3,2,8,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,8,2,1,5,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,5,7,4,3,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,5,4,8,7,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,8,5,1,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,7,6,8,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,2,8,5,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,6,3,8,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,8,1,3,5,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,8,5,1,3,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,8,5,3,2,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,8,2,5,6,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,5,8,7,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,5,7,4,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,5,7,8,3,4,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,7,3,1,8,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,6,3,1,8,7,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,2,5,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,3,8,4,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,3,5,8,4,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,4,2,8,5,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,4,8,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,2,1,5,6,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,2,3,5,1,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,1,3,2,6,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,4,8,3,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,5,7,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,5,8,4,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,5,8,3,4,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,5,1,3,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,6,1,7,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,8,3,7,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,5,1,4,2,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,4,5,1,3,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,5,3,4,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,3,6,4,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,1,4,2,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,5,6,3,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,6,5,3,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,1,7,2,6,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,1,2,6,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,4,2,3,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,4,6,5,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,3,7,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,1,5,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,7,1,5,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,5,3,4,6,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,4,2,5,3,1,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,8,4,3,6,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,6,3,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,1,6,3,2,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,2,6,3,4,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,2,5,1,6,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,1,4,6,2,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,6,5,4,2,3,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,4,3,1,7,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,8,5,2,4,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,4,3,2,6,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,8,4,7,2,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,1,4,5,8,6,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,1,3,2,8,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,3,2,6,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,6,5,8,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,2,8,6,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,4,3,7,8,2,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,8,5,7,6,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,6,8,7,2,5,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,7,1,4,2,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,7,1,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,1,2,4,7,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,6,8,4,3,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,6,5,3,2,4,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,7,6,5,4,1,3,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,2,3,5,8,4,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,7,6,1,5,8,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [9,8,7,6,5,4,2,3,1]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,3,9,8,7,6,5,4,1]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [9,1,3,2,4,5,6,7,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [6,8,7,1,5,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,6,5,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [9,8,7,1,6,5,4,3,2]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,8,7,6,1,5,4,3,2]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,8,7,6,5,1,4,3,2]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,10,1,8,7,6,5,4,3,2]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,1,8,7,6,5,4,3,2]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [10,9,8,1,7,6,5,4,3,2]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,9,8,7,1,6,5,4,3,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [10,9,8,7,6,1,5,4,3,2]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,9,8,7,6,5,1,4,3,2]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [10,9,8,7,6,5,4,1,3,2]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,5,2,4,7,6,9,8,1]=>01001011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [2,4,3,6,5,8,7,1,9]=>01010110=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [3,2,5,4,7,6,9,8,1,10]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,4,3,6,5,8,7,10,9,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,2,6,1,5,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,8,6,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,6,8,2,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,7,3,8,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,4,6,3,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,5,7,2,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,8,5,4,3,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,8,3,6,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,5,7,1,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,2,7,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,4,2,7,3,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,7,3,4,5,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,2,4,6,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,1,3,4,5,7,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,5,1,2,4,6,7,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,6,8,7,3,4,5,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,8,5,6,4,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,1,2,4,6,7,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,1,7,5,8,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,3,2,4,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,6,4,2,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,5,4,3,2,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,8,1,5,4,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,1,7,6,3,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,8,2,1,4,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,8,5,3,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,7,5,3,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,5,1,8,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,8,3,1,2,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,8,1,3,7,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,3,6,8,7,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,8,1,4,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,6,8,3,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,2,8,7,4,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,3,8,5,6,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,1,5,8,7,6,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,1,6,5,7,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,6,5,7,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,7,6,4,5,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,6,5,1,8,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,5,6,3,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,2,5,1,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,3,8,7,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,3,8,4,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,1,7,4,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,3,2,5,4,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,6,1,8,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,2,7,3,1,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,7,1,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,4,6,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,7,4,2,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,7,4,1,8,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,4,5,1,8,6,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,1,6,7,5,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,7,1,5,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,3,7,8,2,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,4,8,6,5,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,4,2,1,7,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,5,3,8,6,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,7,5,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,2,5,1,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,1,4,2,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,2,4,8,7,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,2,4,1,3,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,2,4,3,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,1,4,3,7,6,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,7,5,3,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,2,1,5,8,3,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,8,7,1,5,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,1,5,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,3,6,7,2,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,4,5,8,2,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,2,4,5,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,2,4,7,6,9,8]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,7,8,6,5,1,2,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,4,5,7,2,6,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,8,2,7,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,8,2,7,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,2,7,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,3,6,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,2,7,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,7,8,3,2,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,7,3,4,2,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,2,3,6,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,7,3,2,8,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,2,4,5,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,3,4,6,1,2,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,3,8,5,1,2,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,8,2,3,5,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,8,2,3,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,8,4,1,2,3,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,8,5,1,2,3,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,8,3,1,2,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,8,2,3,1,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,7,8,2,1,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,6,3,1,2,4,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,5,2,1,3,4,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,6,1,3,2,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,4,6,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,1,2,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,3,2,8,5,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,2,1,8,6,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,3,2,5,1,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,8,3,7,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,8,5,2,1,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,5,4,7,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,6,5,8,2,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,3,2,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,3,7,8,2,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,5,6,7,8,2,9,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,5,6,7,8,9,2,10,1]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,4,5,6,7,8,3,9,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,5,6,7,2,1,9,8]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [2,1,5,6,7,8,9,4,3]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [2,4,5,6,7,8,3,1,9]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [2,4,5,6,7,8,9,10,3,1]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [1,4,8,6,3,2,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,8,6,2,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,2,5,3,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,4,8,1,2,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,8,1,7,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,1,5,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,3,2,6,5,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,6,4,5,3,2,9,1]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,9,8,7,5,6,4,3,1]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,3,5,8,4,7,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,7,5,1,6,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,3,5,6,2,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,8,7,3,5,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,3,5,6,1,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,2,7,6,4,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,8,6,2,7,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,4,5,1,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,8,1,5,6,3,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,8,3,2,5,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,1,3,2,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,1,3,5,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,3,5,2,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,7,8,5,2,4,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,8,3,5,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,3,2,5,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,8,5,4,6,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,6,4,8,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,8,5,4,6,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,7,8,5,4,2,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,7,8,2,5,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,2,7,8,5,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,7,6,8,3,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,7,8,6,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,7,6,8,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,7,6,8,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,4,6,8,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,8,4,3,7,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,3,1,5,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,4,1,8,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,7,4,3,8,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,8,5,4,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,5,7,6,3,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,5,4,7,6,1,10,8,9]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,2,5,4,9,8,6,7,1,10]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,2,5,4,1,8,6,10,7,9]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,2,5,4,1,10,9,6,7,8]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [3,2,7,6,4,5,9,8,1,10]=>101100110=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [3,2,7,6,4,5,1,10,8,9]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,2,9,6,4,8,5,7,1,10]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,2,1,6,4,8,5,10,7,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,2,1,6,4,10,9,5,7,8]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [3,2,9,8,7,4,5,6,1,10]=>101110010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [3,2,1,8,7,4,5,10,6,9]=>110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [3,2,1,10,7,4,9,5,6,8]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [3,2,1,10,9,8,4,5,6,7]=>110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [5,4,2,3,7,6,9,8,1,10]=>110010110=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [5,4,2,3,7,6,1,10,8,9]=>110011010=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [5,4,2,3,9,8,6,7,1,10]=>110011010=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [5,4,2,3,1,8,6,10,7,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,4,2,3,1,10,9,6,7,8]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [7,4,2,6,3,5,9,8,1,10]=>110100110=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [7,4,2,6,3,5,1,10,8,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [9,4,2,6,3,8,5,7,1,10]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,4,2,6,3,8,5,10,7,9]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,4,2,6,3,10,9,5,7,8]=>010101100=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [9,4,2,8,7,3,5,6,1,10]=>110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [1,4,2,8,7,3,5,10,6,9]=>010110010=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [1,4,2,10,7,3,9,5,6,8]=>010110100=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [1,4,2,10,9,8,3,5,6,7]=>010111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [7,6,5,2,3,4,9,8,1,10]=>111000110=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [7,6,5,2,3,4,1,10,8,9]=>111001010=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [9,6,5,2,3,8,4,7,1,10]=>111001010=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [1,6,5,2,3,8,4,10,7,9]=>011001010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [1,6,5,2,3,10,9,4,7,8]=>011001100=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [9,8,5,2,7,3,4,6,1,10]=>111010010=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [1,8,5,2,7,3,4,10,6,9]=>011010010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [1,10,5,2,7,3,9,4,6,8]=>011010100=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [1,10,5,2,9,8,3,4,6,7]=>011011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [9,8,7,6,2,3,4,5,1,10]=>111100010=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [1,8,7,6,2,3,4,10,5,9]=>011100010=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [1,10,7,6,2,3,9,4,5,8]=>011100100=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [1,10,9,6,2,8,3,4,5,7]=>011101000=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [1,10,9,8,7,2,3,4,5,6]=>011110000=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [3,2,1,6,4,8,5,10,7,12,9,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [3,2,1,6,4,8,5,12,11,7,9,10]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [3,2,1,6,4,12,9,5,11,7,8,10]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [3,2,1,12,7,4,9,5,11,6,8,10]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [5,4,2,3,1,8,6,10,7,12,9,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [5,4,2,3,1,8,6,12,11,7,9,10]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [5,4,2,3,1,12,9,6,11,7,8,10]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [7,4,2,6,3,5,1,10,8,12,9,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [7,4,2,6,3,5,1,12,11,8,9,10]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [9,4,2,6,3,8,5,7,1,12,10,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [11,4,2,6,3,8,5,10,7,9,1,12]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [1,4,8,2,3,6,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,6,7,3,5,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,4,8,2,6,7,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,3,2,4,5,6,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,7,3,2,4,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,4,3,2,5,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,2,6,5,3,1,7,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,1,6,8,7,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,5,8,6,2,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,8,4,1,7,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,5,4,2,6,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,2,7,5,6,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,5,7,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,3,7,5,4,6,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,2,8,6,3,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,6,3,5,7,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,2,5,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,6,4,2,7,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,4,2,3,6,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,5,2,3,4,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,2,1,7,3,4,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,1,2,4,8,6,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,2,5,8,7,4,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,2,1,8,4,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,7,5,2,8,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,4,7,3,2,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,8,6,2,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,8,6,3,7,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,2,3,1,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,7,4,8,3,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,4,7,5,2,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,1,8,7,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,6,1,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,6,8,3,1,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,4,5,3,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,4,5,3,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,4,5,3,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,4,7,3,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,6,4,8,2,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,4,7,5,2,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,2,6,7,4,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,6,1,4,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,4,7,8,3,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,8,2,3,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,3,2,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,8,1,4,6,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,6,7,8,1,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,6,7,8,1,5,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [4,7,3,8,5,1,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,2,7,5,8,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,3,2,6,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,4,5,3,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,3,2,4,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,4,1,3,6,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,1,3,2,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,8,2,4,1,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,7,8,1,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,7,8,1,5,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,3,7,8,1,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,8,1,6,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,3,7,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,5,3,2,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,2,7,6,4,1,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,4,3,8,5,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,2,7,3,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,6,3,4,1,7,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,2,8,5,3,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,8,3,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,2,8,1,6,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,5,7,1,3,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,7,2,1,5,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,2,7,1,3,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,8,7,4,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,1,7,4,6,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,8,3,6,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,6,8,3,2,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,6,8,2,7,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,8,2,4,1,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,2,8,7,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,5,3,1,6,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,3,1,7,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,3,6,8,4,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,1,7,8,4,3,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,1,3,8,4,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,7,8,4,1,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,7,8,3,5,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,8,6,4,1,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,2,8,4,3,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,8,3,2,5,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,2,6,4,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,4,7,8,5,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,2,1,8,4,3,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,1,3,7,5,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,7,3,4,5,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,3,7,8,1,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,3,2,5,8,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,4,3,5,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,6,4,2,3,5,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,2,5,8,6,4,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,4,7,2,8,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,5,8,4,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,7,2,4,8,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,2,4,3,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,4,6,2,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,3,6,1,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,1,8,5,2,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,4,5,6,2,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,2,1,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,2,5,3,1,7,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,5,8,1,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,8,6,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,2,3,8,4,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,5,1,4,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,1,2,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,6,5,1,8,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,2,6,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,5,2,8,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,8,2,4,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,4,8,5,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,8,4,2,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,1,8,6,2,7,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,6,8,1,3,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,5,8,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,3,5,7,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,8,2,4,1,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,8,4,1,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,2,4,3,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,3,5,7,2,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,5,2,3,8,7,6]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,8,2,4,7,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,7,1,4,6,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,5,3,7,4,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,6,2,8,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,6,2,8,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,1,2,5,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,4,8,5,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,6,5,3,8,4,2,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [7,6,5,4,2,8,3,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,6,9,7,5,4,3,2,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [7,5,4,8,6,3,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,5,9,6,4,3,2,1]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,7,6,4,9,5,3,2,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [7,6,5,3,2,8,4,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [8,7,6,5,3,9,4,2,1]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [8,7,6,5,4,2,9,3,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,2,5,4,7,6,1,10,9,8]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,2,5,4,9,8,7,6,1,10]=>101011110=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [3,2,5,4,1,8,7,10,9,6]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,2,5,4,1,10,9,8,7,6]=>101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [3,2,7,6,5,4,9,8,1,10]=>101110110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [3,2,7,6,5,4,1,10,9,8]=>101111011=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [3,2,9,6,5,8,7,4,1,10]=>101101110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [3,2,1,6,5,8,7,10,9,4]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [3,2,1,6,5,10,9,8,7,4]=>110101111=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [3,2,1,8,7,6,5,10,9,4]=>110111011=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [3,2,1,10,7,6,9,8,5,4]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [5,4,3,2,7,6,9,8,1,10]=>111010110=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [5,4,3,2,7,6,1,10,9,8]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [5,4,3,2,9,8,7,6,1,10]=>111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [5,4,3,2,1,8,7,10,9,6]=>111101011=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [7,4,3,6,5,2,9,8,1,10]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,4,3,6,5,2,1,10,9,8]=>110111011=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [9,4,3,6,5,8,7,2,1,10]=>110101110=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [1,4,3,6,5,8,7,10,9,2]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,4,3,6,5,10,9,8,7,2]=>010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [9,4,3,8,7,6,5,2,1,10]=>110111110=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [1,4,3,8,7,6,5,10,9,2]=>010111011=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [1,4,3,10,7,6,9,8,5,2]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,4,3,10,9,8,7,6,5,2]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [7,6,5,4,3,2,9,8,1,10]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [9,6,5,4,3,8,7,2,1,10]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [1,6,5,4,3,8,7,10,9,2]=>011101011=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [1,6,5,4,3,10,9,8,7,2]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [9,8,5,4,7,6,3,2,1,10]=>111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [1,8,5,4,7,6,3,10,9,2]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [1,10,5,4,7,6,9,8,3,2]=>011010111=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [1,10,5,4,9,8,7,6,3,2]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,10,7,6,5,4,9,8,3,2]=>011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [1,10,9,6,5,8,7,4,3,2]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [3,2,11,10,9,8,7,6,5,4,1,12]=>10111111110=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [11,10,9,8,7,6,5,4,3,2,1,12]=>11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [1,5,7,2,4,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,5,3,2,4,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,2,4,6,5,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,7,2,6,5,3,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,6,8,7,4,3,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,2,7,4,3,5,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,2,8,7,4,3,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,4,2,3,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,5,2,3,6,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,8,5,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,7,5,2,8,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,3,7,4,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,5,2,7,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,8,7,5,3,2,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,5,8,6,3,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,4,7,5,8,6,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,8,7,6,2,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,5,8,7,6,2,4]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,2,4,3,6,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,7,5,3,2,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,2,5,7,4,3,8,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,3,2,6,8,7,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,2,6,8,7,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,5,8,6,3,2,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,5,2,6,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,4,6,3,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,2,8,5,4,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,8,6,4,2,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,5,7,4,2,3,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,7,5,4,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,5,2,6,3,4,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,2,7,5,4,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,8,6,7,1,2,3]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,3,6,8,5,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,2,8,1,6,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,4,6,7,3,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,5,8,7,1,4,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,6,5,8,2,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,4,1,6,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,7,1,6,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,6,4,7,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,3,4,7,2,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,7,2,5,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,5,2,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,1,4,7,3,5,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,6,7,2,8,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,6,7,2,4,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,6,4,2,7,1,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,1,4,7,5,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,2,6,7,4,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,3,6,5,2,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,1,4,5,7,6,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,7,5,2,3,8,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,7,5,4,2,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,3,6,5,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,5,1,3,7,4,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,6,2,4,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,6,4,8,1,2]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,1,3,5,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,4,6,1,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,6,4,7,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,1,4,6,5,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,8,6,7,1,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,6,8,5,3,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,1,5,8,6,2,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,4,6,8,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,2,4,7,8,1,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,5,8,6,4,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,8,3,4,7,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,3,8,7,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,7,4,2,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,7,5,4,3,1,2]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [5,6,4,7,3,8,2,9,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,6,4,7,3,9,2,8,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,3,4,8,6,2,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,6,3,7,2,8,1,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,5,7,4,8,3,9,2,10,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,5,7,4,8,3,10,2,9,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,4,5,8,6,2,7,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,6,4,7,3,8,2,9,1,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,4,2,3,6,1,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,7,4,3,6,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,7,6,8,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,7,2,3,5,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,8,5,2,7,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,2,6,3,1,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,1,6,4,5,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,1,3,7,2,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,4,7,6,2,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,8,7,5,2,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,8,7,2,4,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,6,5,8,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,3,2,8,5,4,1]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [3,2,6,8,7,1,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,7,1,8,5,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,8,5,6,7,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,1,4,7,5,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,3,1,8,5,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,7,8,2,5,6,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,1,4,2,3,6,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,6,1,2,4,5,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,3,4,7,8,6,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,2,4,7,8,6,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,1,7,8,6,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,1,6,7,2,3,4]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,2,4,6,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,1,5,2,7,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,2,6,4,5,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,6,4,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,6,4,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,2,7,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,6,2,5,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,6,2,5,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,7,2,5,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,2,7,4,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,3,7,4,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,7,5,2,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,1,2,6,4,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,2,8,5,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,1,2,7,4,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,7,4,2,3,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,3,4,6,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,3,8,4,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,2,5,3,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,2,5,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,7,2,6,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,2,6,3,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,7,4,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,7,3,5,1,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,4,8,6,3,5,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,7,5,4,1,6,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,4,6,2,1,5,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,7,2,1,6,5,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,8,3,5,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,6,1,5,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,7,1,6,5,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,1,3,6,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,4,7,8,1,3,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,1,4,6,3,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,7,1,6,3,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,3,7,1,6,5,4,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,7,1,4,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,7,3,1,4,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,4,7,2,1,6,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,3,7,1,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,2,8,1,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,7,1,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,8,5,4,1,7,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,7,8,1,3,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,7,1,4,6,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,4,7,1,6,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,7,1,6,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,8,3,1,7,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,3,4,5,6,7,9,2]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,2,3,4,5,6,1,9,8]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [2,1,9,4,5,6,7,8,3]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [2,8,3,4,5,6,7,1,9]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [8,6,5,1,2,4,3,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,4,2,3,5,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,1,4,8,3,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,4,3,2,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,5,1,4,2,3,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,4,1,2,5,3,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,1,4,2,5,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,1,4,3,2,6,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,6,3,1,5,4,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [2,8,3,7,4,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,5,2,4,3,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,9,1,8,7,6,5,4,3]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,9,8,1,7,6,5,4,3]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,2,5,7,3,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,4,5,3,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,5,1,3,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,7,5,2,1,6,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,7,4,3,2,5,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,5,7,3,2,6,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,1,4,7,2,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,1,4,7,8,3,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,7,1,5,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,6,4,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,3,1,7,2,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,2,7,4,3,1,5,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,4,1,7,3,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,3,2,7,4,5,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,4,1,3,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,2,5,7,1,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,6,5,7,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,2,5,6,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,7,3,5,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,6,3,5,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,3,2,5,7,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,6,5,2,7,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,2,1,4,3,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,1,6,4,3,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,4,1,6,3,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,1,5,2,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,5,3,7,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,5,4,7,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,2,5,3,4,8,7,6]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,7,6,1,8,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,6,1,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,2,4,6,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,8,3,6,2,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,7,1,4,5,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,6,4,7,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,8,3,5,6,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,6,2,1,5,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,7,4,5,8,1,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,1,8,5,4,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,6,2,3,4,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,8,6,2,1,3,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,4,7,5,8,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,7,4,2,5,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,1,5,8,4,3,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,6,2,4,3,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,2,5,7,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,8,5,3,6,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,4,5,6,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,8,4,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,1,4,3,7,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,5,3,1,2,8,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,4,1,6,2,8,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,3,1,7,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,6,7,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,1,8,6,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,7,1,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,8,5,3,6,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,6,3,5,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,8,6,4,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,1,6,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,4,7,2,6,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,2,5,6,4,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,4,8,5,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,6,1,3,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,2,5,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,7,6,2,1,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,5,2,7,6,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,2,7,6,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,7,6,2,5,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,6,5,1,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [9,8,7,6,1,2,3,4,5,10]=>111100000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [2,6,3,7,5,4,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,7,1,3,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,5,1,4,7,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,4,2,5,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,6,5,8,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,8,5,6,2,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,2,3,4,6,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,1,3,4,2,5,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,6,3,2,4,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,5,2,4,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,5,2,4,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,5,7,3,6,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,3,1,6,4,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,1,3,4,2,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,4,3,2,6,1,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,7,4,3,5,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,7,8,4,3,5,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,8,4,5,3,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,8,5,3,4,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,4,2,1,6,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,7,3,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,6,3,5,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,6,3,5,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,5,8,7,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,3,8,7,5,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,2,1,8,3,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,3,6,8,2,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,5,6,8,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,7,5,8,2,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,5,2,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,2,1,8,6,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,6,7,4,2,8,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,3,2,7,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,1,3,4,2,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,8,2,6,4,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,5,4,6,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,2,4,5,6,3,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,3,2,1,5,6,4,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,2,1,7,5,4,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,7,3,1,5,4,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,6,4,7,5,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,5,6,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,8,5,4,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,8,4,6,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,6,3,1,5,4,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,1,4,5,3,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,5,6,4,3,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,3,8,6,2,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,2,8,4,6,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,3,2,8,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,6,3,1,5,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,5,6,7,4,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,2,5,3,4,7,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,3,2,4,1,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,1,2,3,6,8,4,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,7,2,8,3,4,5,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,8,4,6,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,2,3,8,4,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,7,4,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,4,5,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,4,7,2,3,5,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,4,1,2,3,7,5]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,1,4,2,5,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,7,4,2,5,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,2,5,3,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,4,2,5,3,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,4,2,7,3,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,6,4,1,5,7,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,6,4,2,1,5,7,3]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,4,2,1,7,3,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,6,1,4,7,2,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,4,1,5,2,3,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,7,1,4,5,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,5,2,7,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,6,7,4,2,1,5,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,4,7,2,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,2,5,7,3,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,6,4,2,5,1,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,4,2,5,7,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,7,5,8,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,1,4,6,5,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,7,6,4,5,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,6,4,1,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,10,1,2,3,4,5,9,6,7]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [10,8,1,9,2,3,4,5,6,7]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [8,7,1,2,3,4,5,9,10,6]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [6,1,2,3,4,5,7,8,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [5,1,2,3,4,6,7,8,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [4,1,2,3,5,6,7,8,9]=>10000000=>([(0,2),(0,8),(1,10),(2,9),(3,5),(3,11),(4,3),(4,13),(5,7),(5,12),(6,4),(6,15),(7,1),(7,14),(8,6),(8,9),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16) [2,10,1,5,6,7,8,9,3,4]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [7,4,5,1,2,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,7,1,8,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,2,3,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,2,5,1,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,2,3,7,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,5,2,1,7,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,7,6,1,2,4,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,5,2,4,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,8,4,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,1,6,8,5,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,3,1,7,4,8,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,3,1,8,6,4,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,4,1,7,3,2,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,6,8,3,7,1,2,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,2,8,4,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,3,7,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,2,8,7,4,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,4,2,7,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [9,8,2,3,4,5,6,7,1]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [8,9,2,3,4,5,6,7,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,8,7,6,4,5,3,2,1]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,6,7,9,8,4,3,2,1]=>00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [5,6,7,8,9,1,4,3,2]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [10,9,2,3,4,5,6,7,8,1]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [3,4,7,8,5,1,2,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,3,2,5,6,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,7,6,4,5,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,6,8,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,6,5,1,8,7,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,1,2,6,4,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,8,2,4,3,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,4,7,1,2,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,8,1,3,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,7,8,1,5,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,4,2,6,1,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,6,8,7,4,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,7,5,1,8,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,1,2,8,7,4,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,1,3,8,7,6,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,1,5,3,8,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,2,4,3,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,3,6,8,1,5,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,8,3,1,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,8,4,5,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,7,2,4,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,1,2,8,6,4,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,7,6,1,8,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,7,8,6,4,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,8,3,1,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,2,8,7,4,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,3,8,7,4,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,8,7,4,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,8,3,2,4,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,1,7,2,4,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,7,3,2,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,1,6,2,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,2,8,7,6,4,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,3,8,7,6,4,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,3,1,6,5,8,7,10,9]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [1,6,3,7,2,5,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,2,4,6,3,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,2,8,4,1,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,2,8,4,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,8,3,1,6,7,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,4,2,1,6,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,5,8,3,1,4,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,8,1,3,5,7,4,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,4,7,8,3,2,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,8,2,5,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,8,7,2,5,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,6,5,8,2,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,6,7,8,3,5,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,4,2,5,7,6,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,2,6,8,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,6,8,3,5,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,8,3,5,4,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,3,2,4,6,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,8,7,6,3,2,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,5,7,6,3,2,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,6,3,2,4,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,3,2,4,8,7,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,7,6,4,3,5,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,8,7,5,2,4,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,5,2,4,6,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,4,2,5,3,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,4,7,5,2,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,2,3,6,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,5,2,6,3,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,3,7,4,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,3,2,7,5,4,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,7,5,2,6,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,6,4,8,7,5,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,7,6,4,2,5,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,3,2,4,8,5,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,7,5,2,4,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,6,3,2,7,5,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,6,3,2,8,7,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,7,6,4,2,3,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,6,3,2,8,4,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,3,5,2,7,4,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,3,5,2,8,7,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,7,5,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,4,9,5,2,10,6,3,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [6,4,7,1,5,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,8,2,6,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,2,6,5,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,1,8,3,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,4,8,2,3,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,5,7,1,4,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,3,5,7,6,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,1,2,4,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,3,5,7,6,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,4,2,8,5,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,6,2,4,8,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,5,2,3,8,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,7,5,3,8,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,2,1,4,8,5,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,1,4,2,6,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,6,2,5,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,1,8,2,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,1,8,2,6,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,5,2,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,1,4,2,7,3,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,3,4,5,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,9,3,4,5,6,7,2]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,8,7,4,5,2,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,6,8,7,3,4,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,3,7,8,4,5,6,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,2,3,1,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,5,2,8,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,6,2,3,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,2,1,8,5,3,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,6,1,5,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,3,5,8,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,6,4,5,1,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,6,7,1,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,3,1,7,4,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,1,8,3,2,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,3,7,2,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,7,4,5,3,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,3,1,4,5,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,2,6,7,8,4,5,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,4,6,3,8,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,4,1,3,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,3,1,8,7,6,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,3,4,2,7,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,4,5,1,6,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,7,8,1,3,5,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,8,4,3,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,8,1,4,5,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,8,2,5,6,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,6,5,8,10,9,7]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [2,1,4,3,6,8,7,5,10,9]=>101001101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [2,1,4,3,8,10,7,9,5,6]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,4,3,6,7,10,8,9,5]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [2,1,4,6,5,3,8,7,10,9]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [2,1,4,6,5,3,8,10,9,7]=>100110011=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [2,1,6,8,5,7,3,4,10,9]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,8,7,5,10,4,9,3,6]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,1,6,7,5,10,8,4,9,3]=>100101101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [2,1,4,5,8,6,7,3,10,9]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,8,5,10,6,7,9,3,4]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,1,4,7,10,6,9,8,3,5]=>100010110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [2,1,4,5,6,10,7,8,9,3]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [2,4,3,1,6,5,8,10,9,7]=>011010011=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [2,4,3,1,6,8,7,5,10,9]=>011001101=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [2,4,3,1,8,10,7,9,5,6]=>011001010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [2,4,3,1,6,7,10,8,9,5]=>011000101=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [4,6,3,5,1,2,8,7,10,9]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,6,3,5,1,2,8,10,9,7]=>010100011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [6,5,3,8,2,7,1,4,10,9]=>110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [8,5,3,7,2,10,4,9,1,6]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,5,3,7,2,10,8,4,9,1]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,5,3,8,6,2,7,1,10,9]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,6,3,5,10,2,7,9,1,4]=>110010010=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [4,7,3,6,10,1,9,8,2,5]=>010010110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [4,5,3,6,10,7,1,8,9,2]=>010011001=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [2,3,6,4,5,1,8,7,10,9]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,3,6,4,5,1,8,10,9,7]=>001010011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [6,3,8,4,5,7,1,2,10,9]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [8,3,7,4,5,10,2,9,1,6]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [6,3,7,4,5,10,8,2,9,1]=>101001101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [2,5,8,4,7,6,1,3,10,9]=>001011001=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,5,10,4,7,6,2,9,1,3]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,7,10,4,8,6,9,5,1,3]=>001010110=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [2,5,6,4,10,8,7,3,9,1]=>001011101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,3,4,8,5,6,7,1,10,9]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [8,3,4,10,5,6,7,9,1,2]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [2,7,4,10,5,6,9,8,1,3]=>010100110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [2,3,6,10,5,9,7,8,1,4]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [2,3,4,5,10,6,7,8,9,1]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [10,5,3,7,2,9,4,12,6,11,1,8]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [8,1,6,7,2,5,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,2,3,6,8,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,1,4,6,5,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,4,7,6,5,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,2,7,6,5,4,3]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,5,8,1,6,7,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,2,5,8,4,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,8,4,1,5,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,8,3,5,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,7,4,5,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,5,3,4,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,7,5,4,1,2,3]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,4,5,6,1,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,2,8,1,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,8,7,4,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,1,6,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,2,7,5,3,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,6,8,7,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,8,2,5,4,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,2,5,8,7,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,8,7,2,3,5,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,8,7,2,5,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,2,4,8,3,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,5,8,6,3,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,8,3,5,4,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,2,5,4,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,7,5,2,4,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,6,4,7,2,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,4,2,5,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,4,3,7,5,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,5,4,7,2,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,2,6,4,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,2,3,6,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,2,6,8,5,4,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,3,2,7,4,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,8,5,4,2,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,8,4,2,3,6,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,2,7,5,3,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,6,2,4,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,4,7,3,2,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,4,2,6,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,4,2,6,5,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,8,3,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,8,3,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,8,3,2,7,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,3,6,4,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,7,3,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,3,7,4,5,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,5,7,2,3,6,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,2,1,6,8,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,1,5,4,8,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,2,1,8,4,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,8,7,3,4,6,1,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,1,3,7,2,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,7,3,4,5,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,3,4,5,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,3,4,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,7,1,2,4,5,6]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,8,5,3,4,6,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,5,4,3,8,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,3,6,4,5,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,5,3,6,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,3,7,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,1,2,6,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,3,4,7,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,7,3,8,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,2,4,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,1,3,4,7,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,5,6,1,8,9,2,7]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [3,4,5,6,8,1,9,2,7]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [3,4,5,6,8,9,1,2,7]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,4,5,1,6,7,8,9,3]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,4,1,6,7,8,9,5]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,4,5,6,1,8,9,10,7]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [3,4,5,6,1,2,9,7,8]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [3,4,5,6,8,1,2,7,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,4,5,6,8,9,1,10,7]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,4,5,1,6,7,8,2,9]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [5,6,1,7,8,9,2,3,4]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [4,5,6,1,7,8,9,10,2,3]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [1,3,5,2,6,7,8,9,4]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,5,6,1,7,8,9,10,2,4]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [2,1,4,3,6,7,8,9,5]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,4,6,1,7,8,9,10,2,5]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [2,3,1,5,6,7,8,9,4]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,4,5,1,7,8,9,10,2,6]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [3,2,5,8,7,4,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,5,8,7,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,4,1,6,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,5,7,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,4,8,5,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,4,7,3,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,7,3,1,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,5,8,2,1,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,3,8,7,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,2,6,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,3,8,7,2,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,8,4,5,7,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,1,8,7,6,3,5]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,2,5,8,7,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,3,8,7,2,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,8,4,7,1,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,2,4,8,5,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,5,8,7,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,5,3,6,7,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,5,3,4,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,3,6,4,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,7,3,5,4,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,3,2,5,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,4,8,5,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,4,7,5,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,4,5,8,3,1,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,2,1,5,7,3,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,2,8,5,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,2,4,1,5,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,4,8,6,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,8,3,1,4,6,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,6,5,1,2,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,3,7,6,4,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,8,7,6,5,2,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,8,7,2,6,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,7,2,6,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,1,4,3,5,6]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,7,1,6,3,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,8,7,6,5,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,2,7,6,5,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,8,7,5,2,4,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,5,7,4,8,6,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,2,1,8,7,5,3,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,3,8,7,4,5,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,3,4,1,5,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,7,5,4,8,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,6,3,1,8,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,1,4,3,6,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,6,3,8,4,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,3,8,4,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,3,8,4,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,6,2,8,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,6,5,4,8,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,5,4,8,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,1,2,8,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,7,2,5,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,7,6,1,5,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [9,7,8,5,4,3,2,1,6]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,2,3,4,6,5,7,8,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,3,5,4,6,7,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [6,8,4,1,7,5,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,4,6,7,5,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,6,8,1,4,7,5,3]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,8,1,2,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,4,6,7,2,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,1,6,7,4,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,6,1,7,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,8,1,6,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,2,6,4,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,6,2,7,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,1,2,6,7,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,2,1,6,7,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,2,4,7,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,4,6,1,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,4,3,6,5,8,9,10,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,4,3,6,7,8,5,10,9]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [2,1,4,3,8,7,9,10,5,6]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,1,4,3,6,7,8,9,10,5]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [2,1,4,5,6,3,8,7,10,9]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,4,5,6,3,8,9,10,7]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [2,1,6,5,7,8,3,4,10,9]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [2,1,8,5,9,7,3,10,6,4]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [2,1,6,5,7,8,9,10,3,4]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [2,1,4,5,6,7,8,3,10,9]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [2,1,8,5,6,7,9,10,3,4]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [2,1,4,7,6,8,9,3,10,5]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [2,1,4,5,6,7,8,9,10,3]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [2,3,4,1,6,5,8,7,10,9]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,3,4,1,6,5,8,9,10,7]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [2,3,4,1,6,7,8,5,10,9]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [2,3,4,1,8,7,9,10,5,6]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,3,4,1,6,7,8,9,10,5]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [4,3,5,6,1,2,8,7,10,9]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [4,3,5,6,1,2,8,9,10,7]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [6,3,7,5,1,8,4,2,10,9]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,3,9,5,1,7,4,10,6,2]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [6,3,7,5,1,8,9,10,4,2]=>101100011=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [4,3,5,6,7,8,1,2,10,9]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [8,3,9,5,6,7,1,10,4,2]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [4,3,7,8,6,10,9,2,5,1]=>100101101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [4,3,5,6,7,8,9,10,1,2]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,3,4,5,6,1,8,7,10,9]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,3,4,5,7,8,1,2,10,9]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [8,3,4,5,9,7,1,10,6,2]=>100011011=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [6,3,4,5,7,8,9,10,1,2]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,5,4,6,7,1,8,3,10,9]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,5,4,6,7,1,9,10,3,2]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [2,7,4,8,6,1,9,5,10,3]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,5,4,6,7,8,9,1,10,3]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [2,3,4,5,6,7,8,1,10,9]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [8,3,4,5,6,7,9,10,1,2]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,7,4,5,6,8,9,1,10,3]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [2,3,6,5,7,8,1,9,10,4]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,3,5,6,7,8,9,10,11,12,1,2]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [6,3,4,5,7,8,9,10,11,12,1,2]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [8,3,4,5,6,7,9,10,11,12,1,2]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [10,3,4,5,6,7,8,9,11,12,1,2]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [5,4,7,6,3,1,2,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,4,8,1,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,8,4,1,5,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,1,4,2,3,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,8,6,4,1,5,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,6,5,7,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,3,2,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,8,2,3,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,3,6,7,1,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,7,8,3,5,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,1,3,5,2,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,4,8,3,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,2,5,4,8,7,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,7,3,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,2,5,7,3,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,5,6,8,3,1,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,4,5,8,6,2,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,5,1,8,6,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,3,4,5,9,6,7]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [1,3,4,5,6,8,9,2,7]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [8,3,7,2,1,6,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,6,2,5,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,3,6,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,5,6,4,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,7,5,6,2,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,7,5,6,2,4,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,5,6,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,2,3,6,7,8,9,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,3,2,5,6,7,8,9,1]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [5,6,7,2,3,4,8,9,1]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,3,6,2,4,7,8,9,1]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [5,4,3,2,6,7,8,9,1]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [6,3,7,8,2,4,5,9,1]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,7,4,5,2,3,8,9,1]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [6,4,3,7,2,5,8,9,1]=>11010001=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [7,8,4,5,9,2,3,6,1]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,4,3,8,9,2,5,6,1]=>11001001=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [7,5,8,3,6,2,4,9,1]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [7,5,4,3,8,2,6,9,1]=>11101001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [7,6,5,4,3,2,8,9,1]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [8,6,4,9,3,7,2,5,1]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [8,6,5,4,3,9,2,7,1]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,5,2,3,6,7,8,9,10,1]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [4,3,2,5,6,7,8,9,10,1]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [5,6,7,2,3,4,8,9,10,1]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [5,3,6,2,4,7,8,9,10,1]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [5,4,3,2,6,7,8,9,10,1]=>111000001=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [6,7,8,9,2,3,4,5,10,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [6,3,7,8,2,4,5,9,10,1]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [6,7,4,5,2,3,8,9,10,1]=>010100001=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [6,4,3,7,2,5,8,9,10,1]=>110100001=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [6,5,4,3,2,7,8,9,10,1]=>111100001=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [7,8,9,10,1,3,4,5,6,2]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [7,3,8,9,10,2,4,5,6,1]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [7,4,3,8,9,2,5,6,10,1]=>110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [7,5,8,3,6,2,4,9,10,1]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [7,5,4,3,8,2,6,9,10,1]=>111010001=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [7,6,5,4,3,2,8,9,10,1]=>111110001=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32) [8,5,9,3,6,10,2,4,7,1]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [8,5,4,3,9,10,2,6,7,1]=>111001001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [8,9,6,7,4,5,2,3,10,1]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [8,6,4,9,3,7,2,5,10,1]=>110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [8,6,5,4,3,9,2,7,10,1]=>111101001=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [8,7,6,5,4,3,2,9,10,1]=>111111001=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [9,7,5,4,10,3,8,2,6,1]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [9,7,6,5,4,3,10,2,8,1]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [10,1,9,2,8,3,7,4,6,5]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,5,6,3,8,2,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,3,8,4,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,5,7,8,1,4]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,5,6,3,7,2,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,3,6,2,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,3,4,2,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,3,4,2,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,3,7,2,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,3,8,2,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,4,2,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,1,4,2,8,7,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,5,4,2,8,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,1,6,8,3,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,3,6,5,10,9,7,8,2]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,4,3,8,7,5,6,10,9,2]=>010110011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [1,4,3,10,7,5,9,6,8,2]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,4,3,10,9,8,5,6,7,2]=>010111001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [1,6,5,3,4,8,7,10,9,2]=>011001011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [1,6,5,3,4,10,9,7,8,2]=>011001101=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [1,8,5,3,7,4,6,10,9,2]=>011010011=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [1,10,5,3,7,4,9,6,8,2]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [1,10,5,3,9,8,4,6,7,2]=>011011001=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [1,8,7,6,3,4,5,10,9,2]=>011100011=>([(0,5),(0,6),(1,4),(1,30),(1,33),(2,3),(2,31),(2,32),(3,23),(3,29),(4,9),(4,28),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,31),(25,32),(25,33),(26,13),(26,19),(27,14),(27,20),(28,12),(28,26),(29,15),(29,27),(30,22),(30,28),(31,22),(31,23),(32,8),(32,29),(33,8),(33,9)],34) [1,10,7,6,3,4,9,5,8,2]=>011100101=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [1,10,9,6,3,8,4,5,7,2]=>011101001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [1,10,9,8,7,3,4,5,6,2]=>011110001=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34) [3,1,2,6,5,8,7,10,9,4]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [3,1,2,6,5,10,9,7,8,4]=>100101101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [3,1,2,8,7,5,6,10,9,4]=>100110011=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [3,1,2,10,7,5,9,6,8,4]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [3,1,2,10,9,8,5,6,7,4]=>100111001=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,8),(19,16),(20,7),(20,17),(21,7),(21,8),(22,15),(22,16),(23,15),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,20),(29,21),(30,19),(30,22),(31,20),(31,23)],32) [3,1,5,2,4,8,7,10,9,6]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [3,1,5,2,4,10,9,7,8,6]=>101001101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [3,1,5,2,7,4,6,10,9,8]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [3,1,5,2,9,8,4,6,7,10]=>101011000=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [3,1,7,6,2,4,5,10,9,8]=>101100011=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [3,1,7,6,2,4,9,5,8,10]=>101100100=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [3,1,9,6,2,8,4,5,7,10]=>101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [3,1,9,8,7,2,4,5,6,10]=>101110000=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [5,4,1,2,3,8,7,10,9,6]=>110001011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35) [5,4,1,2,3,10,9,7,8,6]=>110001101=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [5,4,1,2,7,3,6,10,9,8]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [5,4,1,2,7,3,9,6,8,10]=>110010100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [5,4,1,2,9,8,3,6,7,10]=>110011000=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [7,4,1,6,2,3,5,10,9,8]=>110100011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35) [7,4,1,6,2,3,9,5,8,10]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [9,4,1,6,2,8,3,5,7,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [9,4,1,8,7,2,3,5,6,10]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [7,6,5,1,2,3,4,10,9,8]=>111000011=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34) [7,6,5,1,2,3,9,4,8,10]=>111000100=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [9,6,5,1,2,8,3,4,7,10]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [9,8,5,1,7,2,3,4,6,10]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [3,1,5,2,7,4,9,6,11,8,10,12]=>10101010100=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [5,4,1,2,7,3,9,6,11,8,10,12]=>11001010100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [7,4,1,6,2,3,9,5,11,8,10,12]=>11010010100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [9,4,1,6,2,8,3,5,11,7,10,12]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [11,4,1,6,2,8,3,10,5,7,9,12]=>11010101000=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42) [3,8,5,2,1,4,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,5,4,8,2,6,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,1,8,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,1,5,3,6,7,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,4,8,2,6,5,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,1,3,6,2,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,8,3,4,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,1,7,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,2,6,7,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,6,8,7,3,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,6,8,2,7,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,6,7,3,4,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,5,7,8,2,4,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,7,2,8,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,7,6,1,8,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,7,2,6,4,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,6,7,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,5,8,7,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,6,2,8,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,5,8,6,7,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,2,6,5,7,3,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,5,8,6,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,5,8,1,2,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,8,1,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,6,8,1,3,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,6,8,1,2,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,5,8,3,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,8,2,3,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,5,8,7,1,6,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,5,8,3,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,6,8,5,2,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,6,7,5,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,5,7,3,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,7,8,5,6,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,8,7,5,2,4,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,7,8,5,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,4,6,5,3,1,2]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,4,7,5,1,3,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,7,8,3,9,1,2]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [8,9,2,3,4,5,1,6,7]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [5,6,7,4,8,9,1,2,3]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,8,9,2,3,1,4,5,6]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [6,5,7,8,9,1,2,3,4]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [7,6,1,2,3,5,4,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,8,7,5,1,6,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,6,4,2,1,5,3]=>1111101=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [3,8,7,5,2,6,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,7,5,1,2,6,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,3,7,1,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,4,2,6,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,3,2,4,7,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,2,4,6,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,3,2,6,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,2,1,4,6,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,8,3,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,3,6,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,7,1,8,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,8,5,2,3,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,7,8,1,5,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,1,3,8,5,4,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,7,8,4,1,3,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,7,8,4,3,1,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,1,2,3,4,5,8,6,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,1,2,3,4,7,5,8,9]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,1,2,3,6,4,7,8,9]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,1,2,5,3,6,7,8,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,1,2,6,3,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,6,5,3,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,1,8,2,5,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,1,8,3,6,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,7,3,1,2,4,5]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,4,8,3,1,2,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,5,3,1,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,3,1,6,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,1,7,4,3,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,6,8,4,1,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,5,1,6,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,1,7,4,8,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,3,2,5,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,7,4,3,6,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,5,8,2,4,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,1,6,3,4,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,3,4,6,2,8,7]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,4,5,7,2,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,7,5,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,8,6,3,7,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,7,6,3,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,1,8,5,3,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,8,4,7,1,2]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,1,8,6,7,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,8,4,5,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,1,8,7,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,3,8,2,6,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,3,1,8,6,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,1,3,7,4,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,7,1,2,5,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,7,8,2,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,5,8,1,3,6,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,6,7,2,4,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,7,5,2,1,6,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,8,5,6,2,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,8,4,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,2,5,7,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,5,6,8,7,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,2,3,6,7,5,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,1,2,4,5,7,8,3]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [4,5,1,3,7,6,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,8,6,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,4,5,8,7,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,2,3,4,5,9,7,6]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [8,1,2,3,4,9,6,7,5]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,1,2,3,8,5,6,7,4]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,1,3,7,4,5,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [9,1,2,3,4,5,6,10,8,7]=>100000011=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [9,1,2,3,4,5,10,7,8,6]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [10,1,2,3,4,9,6,7,8,5]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [10,1,9,3,4,5,6,7,8,2]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [10,1,2,3,4,5,6,8,9,7]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [9,1,2,3,4,6,7,8,5]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,1,5,3,6,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,4,8,3,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,1,5,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,5,2,4,3,8,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,4,5,2,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,4,7,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,5,4,1,8,2,3]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,6,4,1,5,7,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,5,4,7,6,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,1,4,6,7,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,6,4,1,5,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,6,5,2,8,4,1,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,6,5,2,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,4,3,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,1,7,4,2,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,4,3,5,6,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,2,4,5,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,3,6,1,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,1,4,7,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,3,2,7,4,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,3,1,8,4,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,3,5,6,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,7,4,8,1,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,1,3,5,4,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,10,6,5,4,9,8,7]=>010111011=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [1,6,3,2,5,4,10,9,8,7]=>011010111=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [1,6,3,2,10,5,4,9,8,7]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [1,10,6,3,2,5,4,9,8,7]=>011101011=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [1,6,3,2,10,9,5,4,8,7]=>011011101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [1,10,6,3,2,9,5,4,8,7]=>011101101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [3,1,2,6,5,4,10,9,8,7]=>100110111=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [3,1,2,10,6,5,4,9,8,7]=>100111011=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [3,1,6,2,5,4,10,9,8,7]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [3,1,6,2,10,5,4,9,8,7]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,1,10,6,2,5,4,9,8,7]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,1,6,2,10,9,5,4,8,7]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [3,1,10,6,2,9,5,4,8,7]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [6,3,1,2,5,4,10,9,8,7]=>110010111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [6,3,1,2,10,5,4,9,8,7]=>110011011=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [6,3,1,10,2,5,4,9,8,7]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [10,6,3,1,2,5,4,9,8,7]=>111001011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [6,3,1,2,10,9,5,4,8,7]=>110011101=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [6,3,1,10,2,9,5,4,8,7]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,6,3,1,2,9,5,4,8,7]=>111001101=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [3,1,6,5,2,4,10,9,8,7]=>101100111=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [3,1,6,5,2,10,4,9,8,7]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,1,10,6,5,2,4,9,8,7]=>101110011=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [3,1,6,5,2,10,9,4,8,7]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,1,10,6,5,2,9,4,8,7]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [6,3,1,5,2,4,10,9,8,7]=>110100111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [6,3,1,5,2,10,4,9,8,7]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [6,3,1,10,5,2,4,9,8,7]=>110110011=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [10,6,3,1,5,2,4,9,8,7]=>111010011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [6,3,1,5,2,10,9,4,8,7]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [6,3,1,10,5,2,9,4,8,7]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [10,6,3,1,5,2,9,4,8,7]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,3,1,10,9,5,2,4,8,7]=>110111001=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [10,6,3,1,9,5,2,4,8,7]=>111011001=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [3,1,6,5,2,10,9,8,4,7]=>101101110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [3,1,10,6,5,2,9,8,4,7]=>101110110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [6,3,1,5,2,10,9,8,4,7]=>110101110=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [6,3,1,10,5,2,9,8,4,7]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [10,6,3,1,5,2,9,8,4,7]=>111010110=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [6,3,1,10,9,5,2,8,4,7]=>110111010=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [1,5,2,8,6,4,3,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,8,6,3,1,2,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,8,4,1,2,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,8,5,2,1,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,1,5,2,8,7,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,3,5,7,4,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,8,5,4,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,4,8,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,4,2,6,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,6,4,1,5,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,2,1,8,3,6,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,2,5,1,8,7,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,7,1,4,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,7,3,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,3,1,5,7,2,4]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,8,3,1,4,7,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,2,5,4,7,8,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,3,2,6,4,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,1,2,5,3,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,4,1,3,7,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,1,7,8,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,4,1,8,3,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,1,6,7,3,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,6,5,8,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,4,1,6,7,3,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,2,1,6,4,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,2,3,5,7,8,4]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,3,4,8,5,2,6,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,4,6,1,7,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,2,3,6,8,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,1,4,2,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,7,8,4,1,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,3,5,1,6,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,3,5,4,1,2,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,2,6,1,5,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,1,7,4,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,1,7,6,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,1,7,4,3,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,7,6,2,1,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,8,3,1,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,8,3,2,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,1,7,6,5,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,8,7,2,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,7,2,6,4,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,2,5,7,4,3,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,4,6,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,6,3,5,4,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,4,7,6,1,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,4,8,3,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,2,1,3,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,7,2,6,1,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,4,7,6,3,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,3,7,6,5,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,3,8,7,2,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,5,4,6,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,3,6,2,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,4,3,1,7,6,2,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,3,7,5,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,3,1,7,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,4,8,1,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,5,8,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,3,1,4,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,5,3,4,8,7,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,1,5,3,4,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,2,7,4,5,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,7,8,5,1,6,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,2,4,7,8,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,6,4,8,7,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,4,8,6,2,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,2,7,6,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,2,5,3,8,4,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,6,1,3,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,1,2,3,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,2,4,5,1,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,1,3,8,6,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,2,3,6,8,5,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,1,6,7,4,8,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,3,1,6,2,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,5,2,8,1,4,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,8,2,5,4,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,8,1,6,2,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,8,3,4,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,6,8,5,4,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,6,8,1,2,3,7,4]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,8,1,2,7,6,5,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,1,2,8,5,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,7,3,5,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,4,2,1,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,4,8,3,5,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,6,2,5,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,6,3,5,7,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,5,2,7,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,3,2,5,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,2,1,4,5,3,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,2,3,4,5,8,9,6,7]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,2,3,4,7,9,5,8,6]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,3,6,9,4,7,8,5]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,4,6,8,3,7,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,5,9,3,6,7,8,4]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,3,5,8,2,6,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,4,9,2,5,6,7,8,3]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,9,1,4,5,6,7,8,2]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,1,3,7,2,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,5,8,3,7,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,3,6,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,4,3,1,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,5,2,6,4,3,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,4,2,8,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,8,4,3,6,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,7,4,3,2,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,4,7,2,3,6,8,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,1,2,6,7,8,5,4]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,8,1,6,4,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,4,7,8,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,1,5,7,6,2,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,1,4,2,7,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,3,7,6,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,6,5,2,8,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,7,6,8,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,1,5,6,3,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,8,6,2,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,5,2,8,7,6,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,8,4,3,7,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,1,8,7,4,3,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,1,8,3,2,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,6,3,1,8,2,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,1,8,6,2,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,8,6,3,2,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,4,2,8,6,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,2,8,5,3,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,1,6,4,2,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,4,8,3,5,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,2,4,8,5,1,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,1,4,2,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,3,8,1,7,5,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,1,8,6,3,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,6,4,1,7,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,4,2,7,5,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,1,7,2,8,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,8,1,7,5,3,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,8,7,6,4,3,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,1,7,8,6,3,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,5,7,8,4,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,7,6,3,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,2,6,3,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,7,1,6,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,5,3,6,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,5,3,1,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,5,8,2,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,5,3,2,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,1,5,4,3,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,5,4,6,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,4,5,3,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,7,1,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,5,7,1,6,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,8,5,3,6,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,8,4,5,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,8,5,7,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,1,8,5,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,8,4,5,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,8,7,2,3,4,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,8,4,5,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,6,8,5,3,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,6,8,5,4,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,8,5,2,6,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,6,8,5,2,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,8,7,4,1,2,3]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,5,8,7,4,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,5,8,7,2,4,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,8,4,5,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,4,5,7,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,9,2,10,3,4,5,6,7,8]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,8,1,9,3,4,5,6,7]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,2,7,3,5,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,2,4,8,5,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,5,4,3,8,6,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,1,8,4,7,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,1,8,5,4,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,4,8,3,7,6,5,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,8,2,5,7,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,8,5,4,3,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,8,2,5,4,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,3,2,5,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,2,8,3,5,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,1,8,5,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,6,8,4,1,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,3,8,7,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,8,2,7,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,8,5,7,4,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,7,6,3,5,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,1,6,3,2,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,6,3,4,1,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,3,1,2,8,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,2,1,7,5,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,8,5,7,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,8,6,2,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,7,5,3,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,1,6,7,3,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,8,1,7,5,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,8,7,6,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,2,3,6,5,8,7,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [1,3,4,2,6,5,8,7,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [1,4,2,3,6,5,8,7,10,9]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,3,1,4,6,5,8,7,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [4,6,1,2,3,5,8,7,9]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [3,4,5,1,6,2,8,7,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [3,1,2,4,6,5,8,7,9]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [1,3,4,2,6,5,8,7,10,9]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,1,4,2,6,5,8,7,10,9,11]=>1010101010=>([(0,1),(0,2),(1,18),(1,19),(2,18),(2,19),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,16),(12,17),(13,16),(13,17),(14,10),(14,11),(15,10),(15,11),(16,4),(16,5),(17,4),(17,5),(18,14),(18,15),(19,14),(19,15)],20) [4,7,3,5,6,1,2,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,8,3,5,6,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,3,4,5,6,9,7,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,2,3,4,5,7,8,6,9]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,1,3,4,5,6,7,10,8,9]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [3,2,5,6,8,4,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,5,2,6,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,6,4,8,3,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,7,3,8,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,3,1,6,8,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,7,6,8,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,6,8,3,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,2,5,6,3,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,1,3,7,8,2,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,5,8,3,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,3,5,7,8,2,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,5,8,4,3,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,1,6,8,3,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,4,1,8,3,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,7,8,5,1,6,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,7,6,2,3,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,6,7,4,3,5,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [10,2,3,4,5,6,7,8,1,9]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,1,9,3,4,5,6,2,8]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [5,8,6,3,4,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,10,1,4,5,6,7,8,9,2]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [11,2,3,4,5,6,7,8,9,1,10]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [8,1,10,3,4,5,6,7,2,9]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [7,2,1,9,4,5,6,3,8]=>11010010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [6,9,7,3,4,5,1,2,8]=>01100100=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [6,2,3,1,8,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,2,6,4,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,2,3,7,5,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,1,2,9,5,6,7,4]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,7,9,1,2,3,4,5,6]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [12,2,3,4,5,6,7,8,9,10,1,11]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [8,2,1,10,4,5,6,7,3,9]=>110100010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,10,8,3,4,5,6,1,2,9]=>011000100=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [7,2,3,1,9,5,6,4,8]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,1,2,7,4,5,9,3,8]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [5,9,6,3,4,1,7,2,8]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,5,2,8,6,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,8,2,5,6,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,1,4,2,9,6,7,5]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,7,2,3,8,5,6,1,4]=>11001010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [3,9,1,2,10,5,6,7,8,4]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [2,8,3,6,7,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,7,5,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,2,5,8,4,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,7,2,8,4,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,3,6,4,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,8,5,2,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,5,1,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,5,8,4,7,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,8,1,3,4,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,1,8,7,4,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,1,3,8,2,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,1,2,3,5,7,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,1,7,8,3,2,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,7,6,2,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,6,7,4,2,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,2,8,6,7,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,4,2,8,7,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,2,6,8,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,5,2,7,8,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,6,2,7,8,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,8,6,4,2,7,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,2,1,8,5,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,6,2,3,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,7,8,1,3,4,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,1,7,6,8,4,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,7,2,8,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,7,8,4,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,3,1,5,2,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,4,7,5,3,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,6,3,1,5,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,3,1,8,5,4,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,3,1,7,4,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,8,9,1,2,3,4,5]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [5,4,6,7,8,9,1,2,3]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,5,6,8,3,2,4,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,8,2,7,3,5,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,4,8,6,5,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,6,3,5,7,4,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,7,2,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,5,2,6,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,4,8,5,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,6,5,3,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,4,2,5,6,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,1,3,4,2,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,2,8,6,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,6,1,4,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,1,5,2,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,2,6,3,5,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,8,4,7,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,4,2,5,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,2,8,5,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,3,2,5,6,7,8,9]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [6,8,2,7,5,4,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,4,3,7,6,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,8,7,1,2,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,4,5,7,6,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,8,5,7,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,4,8,7,2,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,8,4,7,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,2,8,7,1,4,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,8,7,1,6,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,3,1,6,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,8,5,1,4,6,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,8,7,4,1,6,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,4,6,8,3,5,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,8,1,3,6,4,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,8,1,5,4,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,8,1,4,5,6,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,7,8,2,4,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,7,8,6,3,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,6,8,7,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,8,6,7,1,3,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,6,8,2,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,8,2,4,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,8,6,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,7,8,2,6,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,6,8,7,3,1,2]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,1,5,3,8,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,6,2,5,4,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,1,7,5,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,2,7,4,8,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,1,4,3,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,7,5,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,4,5,6,1,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,6,4,7,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,5,7,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,6,2,7,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,5,8,4,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,5,8,7,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,6,5,8,7,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,6,4,8,7,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,6,8,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,5,8,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,5,8,6,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,5,8,4,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,2,8,5,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,6,2,8,5,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,6,8,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,6,8,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,2,8,6,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,4,8,7,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,3,8,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,7,6,8,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,6,8,4,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,6,8,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,5,8,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,7,3,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,8,2,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,2,5,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,5,8,3,2,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,3,2,5,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,6,4,1,5,3,2]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [3,8,5,2,6,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,3,4,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,3,7,8,6,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,6,2,4,1,8,7]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,6,2,3,5,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,2,6,3,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,2,3,7,5,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,6,2,3,8,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,5,6,4,3,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,3,7,5,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,7,6,4,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,6,3,5,4,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,6,3,8,5,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,2,5,6,3,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,7,5,3,8,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,8,3,7,5,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,3,7,5,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,5,8,3,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,3,8,2,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,5,6,3,7,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,3,7,1,2,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,6,4,1,3,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,2,8,4,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,7,3,2,8,4,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,8,3,1,5,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,8,1,3,2,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,8,1,6,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,3,8,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,6,7,4,3,8,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,6,4,5,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,2,8,3,4,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,2,8,5,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,5,8,6,4,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,8,6,4,5,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,8,6,4,7,5,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,6,2,8,7,4,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,1,8,7,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,2,8,4,7,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,5,7,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,3,1,4,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,1,6,4,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,8,3,4,6,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,1,8,6,4,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,3,8,6,4,2,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,1,3,8,6,4,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,8,3,6,4,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,8,3,6,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,5,8,6,3,4,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,5,8,2,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,8,1,4,6,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,7,8,4,2,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,2,5,3,4,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,1,4,6,7,3,2,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,6,5,7,2,3,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,3,5,4,1,2,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,6,7,3,5,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,1,3,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,2,6,8,4,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,4,1,6,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,7,5,4,2,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,2,6,4,7,3,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,4,3,7,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,8,3,2,6,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,4,5,6,9,8,7,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [2,3,4,5,8,7,9,6,1]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [2,3,6,5,7,8,9,4,1]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [2,3,4,5,6,7,10,9,8,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [2,3,4,5,8,9,7,6,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [2,3,4,5,6,9,8,10,7,1]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [8,4,5,1,3,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,4,3,7,1,5,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,6,8,1,3,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,5,4,2,3,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,3,1,8,6,5,2,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,4,5,6,7,1,2,8,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,7,3,1,4,8,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,1,6,5,7,8,4,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,5,8,7,6,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,7,1,3,2,5,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,6,7,3,2,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,2,5,6,8,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,7,6,8,3,1,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,8,6,1,7,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,4,7,1,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,4,2,3,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,3,6,4,5,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,8,4,5,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,1,8,7,3,6,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,8,6,3,1,2,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,2,7,1,3,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,4,1,3,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,1,5,7,6,3,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,4,2,1,8,7,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,5,1,7,6,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,2,1,8,7,3,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,2,1,5,4,3,8,7]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,2,6,7,8,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,2,5,6,8,7,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,3,6,7,8,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,6,2,4,3,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,4,5,7,8,1,6]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,4,7,5,8,6,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,5,2,8,7,4,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,5,4,2,1,6,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,5,2,8,6,4,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [7,8,3,2,6,5,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,6,3,7,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,7,2,5,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,2,7,8,4,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,7,5,4,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,6,8,2,7,5,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,3,2,8,1,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,1,7,4,3,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,7,2,4,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,6,4,2,3,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,2,8,6,4,1,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,3,7,4,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,6,4,3,2,8,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,6,3,4,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,7,4,3,8,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,4,2,3,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,3,2,4,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,5,4,2,3,7,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,7,6,3,5,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,3,2,6,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,7,5,6,1,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,1,3,2,8,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,5,1,6,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,6,1,4,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,3,5,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [10,5,9,4,8,3,7,2,6,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,3,5,2,4,7,6,9,8,10]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [2,3,5,1,4,7,6,9,8]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [3,4,1,5,2,7,6,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,1,2,5,3,7,6,9,8]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [1,4,2,5,3,7,6,9,8,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,3,6,5,4,1,2,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,5,8,4,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,7,1,2,8,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,4,2,3,8,6,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,5,6,8,1,2,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,5,3,7,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,5,2,4,1,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,5,2,4,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,2,4,3,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,2,8,6,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,7,2,5,1,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,5,1,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,2,7,8,1,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,5,2,4,7,1,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [10,3,1,5,6,7,8,9,2,4]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [10,4,1,5,6,7,8,9,2,3]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [12,3,4,5,6,7,8,9,10,11,1,2]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [7,1,4,2,5,8,6,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,5,1,2,4,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,4,3,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,8,6,4,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,3,8,7,4,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,6,3,1,2,4,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,2,6,8,1,3,5,7,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,6,2,8,1,3,5,7,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,6,8,2,1,3,5,7,9]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [4,6,2,7,8,1,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,8,2,9,1,3,5,7]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [4,6,2,7,9,1,3,5,8]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,2,3,7,1,4,5,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,5,7,9,1,3,6,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,3,5,7,9,1,4,6,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [4,2,6,8,10,1,3,5,7,9]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [6,4,2,8,1,3,5,7,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [4,6,2,8,10,1,3,5,7,9]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [8,4,6,2,1,3,5,7,9]=>10110000=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [4,6,8,2,10,1,3,5,7,9]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [4,6,8,9,2,1,3,5,7]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [4,6,8,10,2,1,3,5,7,9]=>000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [4,6,7,8,2,1,3,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,2,7,1,3,5,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,6,8,2,9,1,3,5,7,10]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [4,8,2,5,9,1,3,6,7]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [4,6,2,7,9,1,3,5,8,10]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [6,2,3,7,9,1,4,5,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,2,5,7,9,1,3,6,8,10]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [1,4,5,7,9,2,3,6,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [2,3,5,7,9,1,4,6,8,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [8,6,3,2,1,7,5,4]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,3,4,1,7,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,9,7,5,3,2,1]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [7,8,5,9,6,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,6,4,2,9,7,5,3,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [7,8,5,3,9,6,4,2,1]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,4,8,5,9,6,3,2,1]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [6,7,8,4,9,5,3,2,1]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [7,8,5,3,1,9,6,4,2]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [7,4,8,5,2,9,6,3,1]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,7,8,4,2,9,5,3,1]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [6,7,3,8,4,9,5,2,1]=>01010111=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [5,6,7,8,3,9,4,2,1]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [6,7,3,8,4,1,9,5,2]=>01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [5,6,7,8,3,1,9,4,2]=>00011011=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [6,2,7,3,8,4,9,5,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [5,6,7,2,8,3,9,4,1]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [4,5,6,7,8,2,9,3,1]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,6,1,7,2,8,3,9,4]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,5,6,7,1,8,2,9,3]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,7,10,8,6,5,4,3,2,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,7,5,10,8,6,4,3,2,1]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,9,6,10,7,5,4,3,2,1]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [9,7,5,3,10,8,6,4,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,9,6,4,10,7,5,3,2,1]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [8,5,9,6,10,7,4,3,2,1]=>101011111=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [7,8,9,5,10,6,4,3,2,1]=>001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [8,9,6,4,2,10,7,5,3,1]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,5,9,6,3,10,7,4,2,1]=>101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [7,8,9,5,3,10,6,4,2,1]=>001101111=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [7,8,4,9,5,10,6,3,2,1]=>010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,7,8,9,4,10,5,3,2,1]=>000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [8,5,9,6,3,1,10,7,4,2]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,9,5,3,1,10,6,4,2]=>001110111=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [8,5,2,9,6,3,10,7,4,1]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [6,7,8,9,4,2,10,5,3,1]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [7,3,8,4,9,5,10,6,2,1]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,7,8,3,9,4,10,5,2,1]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [5,6,7,8,9,3,10,4,2,1]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [7,8,4,1,9,5,2,10,6,3]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,3,8,4,9,5,1,10,6,2]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [6,7,8,3,9,4,1,10,5,2]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [5,6,7,8,9,3,1,10,4,2]=>000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [6,7,2,8,3,9,4,10,5,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,6,7,8,2,9,3,10,4,1]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [4,5,6,7,8,9,2,10,3,1]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,6,7,1,8,2,9,3,10,4]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,5,6,7,8,1,9,2,10,3]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,1,3,4,2,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,3,6,2,4,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,7,6,8,2,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,3,8,4,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,1,4,3,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,2,4,3,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,6,1,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,6,3,7,8,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,7,6,3,8,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,5,6,1,8,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,3,7,8,5,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,8,6,3,5,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,5,6,1,8,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,8,4,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,6,3,4,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,4,6,1,2,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,7,6,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,7,4,6,1,2,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,4,6,1,2,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,5,4,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,5,4,1,2,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,6,3,4,1,2,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,1,2,7,6,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,1,3,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,4,1,2,7,6,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,3,1,2,5,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,5,1,3,2,4,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,6,1,3,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,1,3,8,6,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,3,8,2,5,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,5,4,7,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,6,1,3,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,7,6,3,8,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,7,6,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,3,7,2,4,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,2,4,8,1,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,5,3,2,7,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,3,7,2,6,5,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,2,7,1,3,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,5,1,8,7,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,1,5,3,2,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,1,4,7,2,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,8,7,3,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,3,4,2,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,2,3,7,8,1,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,3,8,4,2,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,1,8,3,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,7,4,2,6,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,8,2,3,5,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,3,2,6,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,7,3,2,5,6,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,5,2,7,3,1,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,6,8,4,2,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,2,8,3,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,5,9,6,7,8,1]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,9,5,6,7,8,1]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,3,9,4,5,6,7,8,1]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,4,5,6,7,10,8,9,1]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,3,4,5,9,7,6,8,1]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [2,3,4,5,6,10,7,8,9,1]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [2,3,4,9,6,5,7,8,1]=>00011001=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [2,3,9,5,4,6,7,8,1]=>00110001=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [2,3,4,10,5,6,7,8,9,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,9,4,3,5,6,7,8,1]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [2,3,10,4,5,6,7,8,9,1]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [2,3,4,5,9,7,8,6,1]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,6,2,3,7,4,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,7,3,5,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,5,3,6,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,6,3,1,8,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,1,2,7,8,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,5,1,2,6,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,7,5,1,2,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,8,1,4,5,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,7,3,8,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,3,4,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,6,3,1,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,6,3,5,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,4,1,5,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,1,7,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,7,5,1,3,8,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,1,3,6,7,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,6,2,4,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,4,1,3,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,3,6,2,5,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,6,3,8,4,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,1,3,7,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,1,8,2,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,1,2,8,4,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,1,6,4,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,8,6,3,4,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,3,8,6,4,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,1,8,6,4,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,1,5,6,4,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,8,5,6,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,8,6,4,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,1,3,5,6,4,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,8,5,6,4,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,5,8,6,4,2,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,5,7,8,6,4,2,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,2,4,1,6,5,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,2,5,4,7,6,9,8,10,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,8,2,6,5,3,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,1,5,2,3,4,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,1,6,2,3,4,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,6,1,2,3,8,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,8,4,1,3,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,8,1,2,3,7,4,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,3,5,6,7,2,4]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,2,5,3,4,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,7,3,4,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,4,7,3,5,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,2,1,6,5,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,5,4,1,3,6,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,4,6,5,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,5,2,1,4,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,6,3,5,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,8,6,4,5,3,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,8,7,6,3,4,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,4,8,5,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,5,2,7,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,8,5,4,2,3,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,1,8,3,4,5,6,7,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,1,6,4,2,5,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,2,3,6,8,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,2,6,3,5,7,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,7,8,6,2,5,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,1,6,5,3,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,5,7,6,3,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,5,1,7,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,5,2,3,4,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,9,6,2,3,4,5,8,7]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [1,5,8,2,3,4,7,6]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,2,7,8,4,5,6,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,3,4,5,6,9,7,10,8]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,3,4,5,6,9,10,1,7,8]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,3,8,7,6,2,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,4,8,2,7,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,6,1,7,5,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,2,1,7,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,1,7,5,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,5,7,6,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,6,2,1,4,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,3,6,5,1,7,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,5,3,1,7,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,3,4,5,7,6,8,9,10]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,2,3,5,4,6,7,8,9,10]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,2,3,5,4,7,6,9,8,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [5,8,1,4,2,3,6,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,8,2,3,1,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,4,8,1,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,6,8,1,4,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,5,1,8,6,4,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,2,8,3,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,5,6,8,3,7,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,8,4,6,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,1,5,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,2,1,6,5,7,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,5,6,8,7,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,5,6,8,4,7,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,5,6,8,4,7,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,6,8,1,2,4,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,1,4,5,7,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,5,1,8,6,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,5,6,8,4,7,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,6,8,2,3,4,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,8,7,4,5,6,3,2,1]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [6,5,1,2,4,8,7,3]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,8,7,2,1,3,6,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,7,2,8,6,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,3,4,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,6,3,2,1,4,7]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,1,6,3,5,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,1,7,8,6,4,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,7,1,2,5,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,4,2,8,7,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,1,4,8,2,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,8,1,7,5,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,3,1,7,5,6,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,7,8,4,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,3,1,8,5,2,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,1,6,3,4,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,7,3,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,6,7,8,9,2,3,4]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,8,9,10,2,3,4,5,6,7]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,7,2,8,9,3,4,5,6]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [1,6,2,7,8,9,3,4,5]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [1,5,2,6,7,8,9,3,4]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [1,5,6,7,8,9,10,2,3,4]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [3,4,2,1,5,6,7,8,9]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [4,3,1,2,5,6,7,8,9]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [3,4,2,1,5,6,7,8,9,10]=>011000000=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [4,5,2,1,3,6,7,8,9]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,4,2,5,1,6,7,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [5,3,1,2,4,6,7,8,9]=>11000000=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [4,3,5,1,2,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,3,1,2,5,6,7,8,9,10]=>110000000=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [3,1,2,4,5,6,7,8,9,10,11]=>1000000000=>([(0,2),(0,10),(1,12),(2,11),(3,5),(3,13),(4,3),(4,15),(5,7),(5,14),(6,4),(6,17),(7,9),(7,16),(8,6),(8,19),(9,1),(9,18),(10,8),(10,11),(11,19),(13,14),(14,16),(15,13),(16,18),(17,15),(18,12),(19,17)],20) [4,6,5,3,8,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,3,8,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,3,5,2,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,7,5,2,4,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,5,7,3,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,5,6,4,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,7,5,1,4,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,2,4,6,7,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,1,7,3,4,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,7,2,5,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,7,6,3,5,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,7,1,5,6,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,6,2,8,1,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,1,8,6,2,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,4,6,8,2,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,1,5,7,3,8,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,8,4,7,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,8,5,4,3,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,6,8,2,5,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,7,8,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,5,7,4,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,7,4,2,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,7,5,2,1,8,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,6,7,5,8,4,1,2]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,4,7,2,5,6,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,5,3,7,8,6,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,8,4,5,6,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,3,8,5,4,7,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,3,1,2,6,7,8,9]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [6,5,4,3,1,2,7,8,9]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [8,5,4,3,9,1,2,6,7]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [6,5,4,3,1,2,7,8,9,10]=>111100000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [7,6,5,4,3,1,2,8,9,10]=>111110000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [9,6,5,4,3,10,1,2,7,8]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [6,8,7,3,2,4,5,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,8,6,1,4,5,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,5,8,6,4,1,3,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,7,6,3,8,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,1,8,4,6,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,7,6,8,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,8,4,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,4,5,1,9,7,8]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [4,2,3,5,1,8,6,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,4,5,9,7,1,8,6]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [2,3,4,9,6,7,1,8,5]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [2,3,9,5,6,1,7,8,4]=>00101001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [2,3,9,5,1,7,4,8,6]=>00110101=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [2,3,4,5,6,7,10,9,1,8]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [2,3,4,5,6,10,8,9,1,7]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,3,4,5,6,10,8,1,9,7]=>000001101=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [2,3,4,5,6,10,8,1,7,9]=>000001100=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32) [2,3,4,5,6,10,1,7,8,9]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,3,4,5,10,7,8,9,1,6]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [2,3,4,5,10,7,8,1,9,6]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,3,4,5,10,7,8,1,6,9]=>000010100=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [2,3,4,5,10,7,1,9,6,8]=>000011010=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34) [2,3,4,5,10,7,1,6,8,9]=>000011000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [2,3,4,5,10,1,6,7,8,9]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [2,3,4,10,6,7,8,1,9,5]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,3,4,10,6,7,8,1,5,9]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [2,3,4,10,6,7,1,8,9,5]=>000101001=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [2,3,4,10,6,7,1,9,5,8]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [2,3,4,10,6,7,1,5,8,9]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [2,3,4,10,6,1,8,5,9,7]=>000110101=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [2,3,4,10,6,1,8,5,7,9]=>000110100=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [2,3,4,10,6,1,5,7,8,9]=>000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [2,3,4,10,1,5,6,7,8,9]=>000100000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,3,10,5,6,1,8,9,4,7]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,3,10,5,6,1,8,4,9,7]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,3,10,5,6,1,8,4,7,9]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [2,3,10,5,6,1,4,7,8,9]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [2,3,10,5,1,7,4,9,6,8]=>001101010=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [2,3,10,5,1,7,4,6,8,9]=>001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [2,3,10,5,1,4,6,7,8,9]=>001100000=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32) [2,10,4,1,6,3,8,5,9,7]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,10,4,1,6,3,8,5,7,9]=>011010100=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [2,10,4,1,6,3,5,7,8,9]=>011010000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [2,10,4,1,3,5,6,7,8,9]=>011000000=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [5,8,7,2,6,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,5,1,7,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,5,2,7,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,8,6,5,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,5,8,1,6,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,5,8,2,6,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,2,8,1,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,1,3,4,5,6,8,7,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,3,4,5,6,8,7,9,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,6,8,7,1,3,5,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,8,7,6,2,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,7,6,1,4,5,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,6,2,7,5,3,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,2,5,3,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,3,1,7,6,2,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,3,1,2,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,5,3,1,8,6,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,6,2,3,1,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,3,7,5,2,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,6,3,2,7,5,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,4,1,3,2,6,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,4,8,5,6,3,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,7,4,1,3,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,4,1,3,2,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,4,5,3,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,3,7,4,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,6,3,2,7,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,6,3,2,4,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,5,1,6,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,6,2,4,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,4,8,7,6,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,3,1,6,7,5,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,6,5,7,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,2,6,7,4,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,2,4,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,3,6,4,7,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,5,3,6,7,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,8,3,4,7,6,5]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,5,2,7,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,4,5,2,1,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,4,7,6,3,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,8,5,4,2,1,6]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,3,4,7,2,8,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,7,3,6,4,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,5,3,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,3,1,5,2,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,5,8,3,2,6,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,2,4,7,8,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,7,4,3,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,3,4,8,5,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,6,8,3,5,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,4,5,3,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,3,7,4,5,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,3,2,7,5,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,2,6,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,7,1,5,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,3,6,4,7,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,3,6,7,8,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,5,2,4,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,2,4,6,3,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,2,5,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,4,2,7,3,6,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,4,2,8,7,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,8,3,5,2,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,6,2,3,5,8,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,8,3,6,5,4,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,3,8,6,5,2,4,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,4,7,3,2,8,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,8,6,5,2,4,7,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,8,4,3,2,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,7,5,3,2,6,4,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,6,5,3,8,4,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,3,2,8,4,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,2,8,4,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,7,2,4,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,2,8,7,6,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,3,2,5,7,4,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,3,2,1,6,5,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,2,6,1,5,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,2,7,1,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,5,1,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,5,7,2,1,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,2,7,4,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,7,5,8,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,4,8,5,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,3,4,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,6,7,8,1,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,5,1,3,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,7,2,6,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,7,6,5,8,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,1,7,6,4,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,3,6,7,8,1,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,7,2,1,6,5,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,6,4,1,5,8,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,3,6,7,8,1,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,8,5,2,7,3,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,2,4,1,8,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,3,7,8,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,1,4,3,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,2,4,3,7,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,5,4,2,3,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,2,4,6,3,8,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,2,6,5,3,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,6,1,2,4,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,1,4,5,2,3,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,1,4,8,7,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,8,5,7,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,7,5,8,3,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,5,8,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,4,7,8,2,3,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,1,2,3,7,5,4,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,6,1,2,4,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,8,7,5,3,4,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,8,7,5,2,3,4]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,1,2,4,6,5,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,1,2,4,5,7,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,3,1,2,4,7,5,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,7,1,4,2,3,5,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,7,4,8,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,5,1,2,4,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,5,4,3,2,7,9,1]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [8,9,5,4,3,2,1,6,7]=>01111100=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [7,6,5,4,3,8,9,1,2]=>11110010=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [9,6,5,4,3,2,7,1,8]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [8,7,6,5,4,3,2,9,1,10]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [9,2,3,4,5,6,1,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [3,1,5,6,7,8,9,2,4]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,3,5,6,7,8,9,4]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [4,3,8,5,6,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,8,6,7,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,1,5,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,6,1,5,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,1,7,2,5,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,5,4,8,2,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,5,4,7,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,4,8,7,5,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,4,5,1,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,7,6,1,2,3]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,5,7,1,3,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,3,4,6,7,5,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,7,6,2,3,5,4,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,3,6,7,5,1,2,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,1,6,5,7,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,7,1,8,5,6,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,8,6,1,5,3,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,2,3,5,1,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,2,1,3,5,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,1,6,4,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,8,6,2,1,4,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,4,8,5,6,1,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,2,5,6,1,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,8,4,2,7,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,5,3,1,4,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,8,4,6,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,2,4,6,3,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,3,2,1,6,4,5]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,3,4,6,5,2,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,3,6,5,2,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,2,8,6,5,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,2,7,5,4,6,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,4,5,3,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,7,4,6,3,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,4,6,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,3,4,1,2,5,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,1,3,2,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,8,6,2,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,8,4,6,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,6,4,7,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,6,5,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,8,5,7,4,2,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,7,5,2,4,8,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,2,7,5,6,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,7,3,4,6,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,5,4,8,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,6,4,7,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,6,2,4,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,1,3,4,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,4,5,1,3,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,8,7,5,3,2,1]=>1011111=>([(0,5),(0,6),(1,4),(1,14),(2,13),(3,2),(3,16),(4,3),(4,17),(5,12),(5,15),(6,1),(6,12),(6,15),(8,11),(9,10),(10,8),(11,7),(12,9),(13,7),(14,10),(14,17),(15,9),(15,14),(16,11),(16,13),(17,8),(17,16)],18) [6,7,1,4,3,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,5,1,4,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,3,4,2,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,3,2,8,7,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,6,8,4,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,7,3,2,8,5,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,7,6,8,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,8,5,2,7,6,4]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,1,5,2,8,7,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,6,5,3,1,8,2,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,5,1,4,7,3,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,1,6,5,7,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,5,7,4,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,1,6,3,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,5,7,4,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,6,5,2,4,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,6,5,1,4,2,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,5,1,7,2,4,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,5,2,1,4,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,3,6,1,7,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,2,7,6,1,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,5,3,1,2,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,1,6,3,7,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,2,6,3,7,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,5,7,1,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,5,1,4,7,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,6,5,7,1,2,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,6,5,1,3,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,6,5,3,7,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,5,7,6,1,3,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,7,6,1,2,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,5,7,6,3,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,6,5,2,7,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,7,2,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,6,2,4,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,2,6,3,7,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,2,7,3,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,5,2,1,7,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,8,2,1,4,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,8,2,4,6,7,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,8,2,1,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,1,8,2,4,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,1,3,8,2,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,5,8,4,2,3,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,8,2,1,4,3,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,2,4,1,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,4,6,3,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,2,4,3,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,4,6,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,8,4,6,7,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,8,4,6,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,4,6,3,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,6,7,2,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,6,7,2,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,6,7,2,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,3,6,7,2,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,6,2,4,5,3,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,6,4,5,7,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,2,4,5,3,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,6,4,2,3,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,8,1,6,2,4,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,6,2,1,4,5,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,8,6,2,4,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,6,2,4,5,7,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,6,2,4,5,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,6,2,4,5,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,3,6,7,2,1,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,6,7,2,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,6,4,5,1,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,6,7,5,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,4,6,2,3,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,2,1,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,1,6,3,5,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,2,1,5,3,7,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,1,4,7,3,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,2,5,8,4,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,1,7,4,5,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,8,5,1,7,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,1,5,8,7,3,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,1,6,7,4,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,1,7,8,5,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,8,2,4,3,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,5,3,6,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,8,6,4,7,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,7,8,6,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,2,7,8,3,5,6,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,3,7,1,4,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,1,5,3,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,6,4,2,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,4,2,7,6,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,3,2,7,5,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,4,8,7,5,6,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,8,1,5,3,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,5,6,8,1,4,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,1,6,4,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,3,6,5,4,2,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,4,3,6,2,1,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,8,6,3,7,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,1,5,3,4,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,2,3,1,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,2,4,6,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,2,7,3,5,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,6,4,7,5,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,1,5,8,6,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,5,8,7,3,1,2,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,3,8,7,6,4,2,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,8,5,1,7,4,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,4,7,5,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,7,4,6,3,8,5,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,6,4,7,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,5,7,8,9,1,2,6]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,5,6,7,8,9,1,2,4]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,4,5,6,8,9,10,1,2,7]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [3,5,6,7,8,9,10,1,2,4]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [3,4,5,6,7,8,1,2,9,10]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [3,4,5,6,9,1,2,7,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [3,4,5,6,1,2,7,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,1,6,7,8,9,2,3,4]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [4,1,8,6,3,7,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,3,1,6,2,5,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,5,4,3,8,1,6,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,3,1,6,2,8,7,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,4,1,7,8,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,2,1,5,7,3,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,1,5,8,7,2,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,2,5,7,8,4,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,3,7,4,2,6,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,4,2,6,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,8,4,2,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,8,4,3,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,8,4,3,2,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,7,4,3,6,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,4,3,6,8,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,7,4,1,6,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,5,7,8,4,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,5,7,8,4,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,7,4,1,3,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,3,7,4,8,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,3,7,4,8,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,3,7,4,5,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,7,4,5,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,8,6,4,3,5,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,1,3,7,4,5,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,3,5,4,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,1,8,5,3,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,8,1,6,3,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,5,7,8,4,6,3,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,8,2,7,5,3,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,5,4,1,8,6,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,1,4,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,3,2,4,5,6,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,8,7,1,4,2,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,7,8,2,4,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,4,6,1,7,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,3,2,1,4,6,8,7]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,3,2,4,8,1,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,2,4,7,1,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,1,7,3,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,2,4,6,8,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,4,3,5,7,8,9,6]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,7,6,3,1,4,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,4,5,6,8,2,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,1,4,2,5,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,8,3,7,1,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,3,5,8,1,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,5,7,1,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,6,4,2,5,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,4,2,8,3,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,2,4,3,7,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,1,4,3,7,6,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,5,4,1,3,6,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,6,7,2,5,1,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,7,1,4,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,7,8,4,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,4,6,8,7,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,1,2,4,7,6,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,1,8,6,7,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,8,5,1,7,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,3,2,8,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,2,4,5,6,7,9,8]=>10000001=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,5,3,2,4,7,1,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,7,4,2,5,8,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,4,2,6,3,1,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,2,1,6,4,3,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,6,5,1,3,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,4,7,5,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,7,1,4,6,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,6,1,4,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,7,6,1,2,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,5,2,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,6,4,7,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,2,7,4,6,8,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,6,3,7,2,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,3,1,7,6,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,6,4,8,1,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,1,6,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,8,5,1,6,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,2,1,6,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,6,3,1,7,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,6,7,4,1,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,1,4,2,8,7,6]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,1,4,2,6,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,4,2,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,8,4,6,2,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,4,2,3,7,5,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,8,3,2,7,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,3,7,6,5,2,4,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,2,8,6,7,5,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,7,5,4,3,2,6,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,9,10,1,5,6,7,3,4,2]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [8,9,10,5,6,7,1,3,4,2]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,9,10,1,5,6,3,4,7,2]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,9,10,5,6,1,3,4,7,2]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [8,9,10,5,6,3,4,7,1,2]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,5,6,10,1,3,4,7,2]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [8,9,5,6,10,3,4,7,1,2]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,9,10,1,5,6,7,3,2,4]=>001000110=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [8,9,10,5,6,7,1,3,2,4]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,10,1,5,6,3,7,2,4]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,10,5,6,1,3,7,2,4]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,10,5,6,3,7,1,2,4]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [8,9,5,6,10,1,3,7,2,4]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,9,5,6,10,3,7,1,2,4]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,10,1,5,6,3,2,4,7]=>001001100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [8,9,10,5,6,1,3,2,4,7]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [8,9,10,5,6,3,1,2,4,7]=>001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [8,9,10,5,6,3,2,4,7,1]=>001011001=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,9,5,6,10,1,3,2,4,7]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,5,6,10,3,1,2,4,7]=>010011000=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [8,9,5,6,10,3,2,4,7,1]=>010011001=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [8,9,10,1,5,3,6,7,2,4]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,10,5,1,3,6,7,2,4]=>001100010=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [8,9,10,5,3,6,7,1,2,4]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [8,9,5,10,1,3,6,7,2,4]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [8,9,5,10,3,6,7,1,2,4]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,10,1,5,3,6,2,4,7]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [8,9,10,5,1,3,6,2,4,7]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [8,9,10,5,3,6,1,2,4,7]=>001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [8,9,10,5,3,6,2,4,7,1]=>001101001=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [8,9,5,10,1,3,6,2,4,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,5,10,3,6,1,2,4,7]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [8,9,5,10,3,6,2,4,7,1]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [8,9,5,3,6,10,1,2,4,7]=>011001000=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [8,9,5,3,6,10,2,4,7,1]=>011001001=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [8,5,9,10,1,3,6,7,2,4]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [8,5,9,10,3,6,7,1,2,4]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,5,9,10,1,3,6,2,4,7]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,5,9,10,3,6,1,2,4,7]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [8,5,9,10,3,6,2,4,7,1]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,8,5,7,4,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,3,2,5,1,8,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,5,7,8,6,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,7,2,4,5,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,7,8,3,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,7,8,1,3,6,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,1,2,3,7,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,2,8,3,1,4,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,5,1,4,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,3,2,7,6,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,3,5,1,2,4,7,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,1,7,4,2,3]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,4,5,1,2,6,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,6,2,7,1,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,8,2,1,7,6,5]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,4,2,1,7,6,5]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,3,1,7,5,6,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,1,7,5,2,6,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,2,7,5,3,1,6]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,4,3,7,5,1,2,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,7,6,4,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,7,6,5,2,1,3]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,3,1,4,7,6,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,5,7,6,2,4,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,6,8,2,5,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,2,4,8,1,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,8,2,4,6,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,2,6,8,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,3,1,8,2,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,8,4,1,3,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,1,7,3,2,8,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,1,7,3,8,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,2,1,3,4,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,2,5,1,8,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,8,3,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,4,2,8,3,5,1,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,8,5,2,1,4,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,2,7,8,4,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [10,1,9,5,6,7,8,2,3,4]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [9,1,10,8,6,7,2,3,4,5]=>101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [8,1,9,10,7,2,3,4,5,6]=>100110000=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33) [10,1,8,9,2,3,4,5,6,7]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,1,10,9,6,7,8,2,4,5]=>101100100=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [3,1,9,10,8,7,2,4,5,6]=>100111000=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [3,1,8,9,10,2,4,5,6,7]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [7,3,4,1,8,6,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,6,3,5,8,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,6,5,2,4,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,7,8,6,2,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,6,7,8,3,2,5,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,2,7,8,4,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,3,5,7,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,1,4,6,2,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,4,7,8,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [9,8,7,6,5,1,3,4,2]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [9,8,7,6,1,4,5,3,2]=>11110011=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [8,7,1,5,4,6,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [9,8,7,1,5,6,4,3,2]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [9,8,1,6,7,5,4,3,2]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [9,1,7,8,6,5,4,3,2]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [4,5,7,1,8,6,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,8,6,5,2,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,8,6,5,1,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,7,3,1,2,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,6,2,1,5,4,3,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,1,2,6,5,7,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,2,6,1,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,5,6,8,4,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,2,6,8,5,4,3,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,7,5,6,2,4,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,1,6,5,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,5,1,6,3,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,6,1,7,3,8,5,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,6,1,8,3,9,5,7]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,6,1,7,3,5,9,8]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,2,5,1,3,7,6,9,8]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,2,5,4,6,1,8,7,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,5,1,6,3,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,2,5,1,7,6,8,3,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,6,1,7,3,8,5,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,2,6,1,7,3,9,8,5]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,6,1,8,3,9,5,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,2,5,1,3,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,6,1,7,3,5,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,2,6,1,8,3,9,5,7,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,2,5,1,3,8,9,6,7]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [4,2,6,1,7,3,5,9,8,10]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [3,2,1,6,7,4,5,9,8]=>11001001=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [4,2,5,1,3,7,6,9,8,10]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,4,5,2,3,7,6,9,8]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [5,3,4,2,7,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,6,8,2,1,3,4,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,5,2,1,3,8,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,3,5,6,8,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,3,2,4,8,5,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,1,2,7,8,4,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,7,1,2,5,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,6,1,8,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,6,7,2,1,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,6,3,8,4,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,4,2,3,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,6,2,8,3,5,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,5,6,3,2,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,3,8,5,2,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,5,4,7,2,3,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,5,6,4,3,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,3,8,6,5,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,4,5,8,6,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,3,2,5,4,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,7,3,2,8,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,1,3,2,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,2,4,1,6,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,6,2,4,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,8,3,6,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,6,1,3,5,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,5,8,4,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,1,2,7,8,5,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,2,7,5,3,4,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,2,8,7,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,7,2,6,3,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,3,4,2,1,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,2,3,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,5,8,1,7,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,4,2,7,8,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,3,7,8,2,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,3,4,7,2,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,8,6,7,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,2,7,8,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,6,2,7,1,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,6,2,1,7,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,6,2,1,7,3,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,7,2,3,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,1,6,7,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,1,8,3,7,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,1,3,8,4,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,5,4,1,6,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,5,4,2,6,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,6,3,7,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,5,4,3,1,2,9,8]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [8,7,6,5,4,3,1,2,10,9]=>111111001=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [7,6,5,4,2,1,3,9,8]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [7,6,5,4,1,3,2,9,8]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,8,7,6,5,3,2,4,1]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,8,7,6,5,2,4,3,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [10,9,8,7,6,5,4,2,3,1]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,7,4,5,6,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,3,4,6,8,1,7,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,4,8,6,7,9,5,1]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [2,3,8,5,6,7,9,1,4]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,8,4,5,6,7,9,3,1]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [8,3,4,5,6,7,9,2,1]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [2,3,4,5,7,9,1,8,6]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,3,4,6,7,1,9,5,8]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,3,4,5,9,7,8,10,6,1]=>000010011=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [2,3,5,8,1,6,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,5,6,1,7,9,4,8]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,4,9,6,7,8,10,1,5]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [2,4,5,1,6,7,9,8,3]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [2,3,9,5,6,7,8,10,4,1]=>001000011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [2,4,7,5,6,8,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,1,5,6,7,9,2,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,9,4,5,6,7,8,10,3,1]=>010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [3,2,4,5,6,7,9,1,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,3,4,5,6,7,8,10,1,2]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,3,4,5,6,8,10,1,9,7]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,3,4,7,6,9,8,5,1]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [2,3,4,5,7,8,1,10,6,9]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,3,4,6,9,1,7,8,5]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,6,7,1,8,10,5,9]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [7,3,4,6,2,8,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,4,6,8,7,9,1,3]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,3,5,7,1,6,9,4,8]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [2,3,5,6,1,7,8,10,9,4]=>000100011=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [4,7,6,5,2,8,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,5,8,6,7,9,2,1]=>10010011=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [2,5,4,8,6,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,6,1,5,7,9,3,8]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,4,5,1,6,7,8,10,3,9]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [7,5,4,1,6,8,2,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,5,6,7,9,1,3]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [3,5,1,4,6,7,9,8,2]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [3,4,1,5,6,7,8,10,2,9]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [4,2,3,5,6,7,9,1,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,2,4,5,6,7,8,10,9,1]=>100000011=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [8,5,2,1,7,6,3,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,3,6,4,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,1,8,5,6,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,6,5,1,4,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,5,4,8,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,1,4,6,3,8,7]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,6,4,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,6,4,3,1,7,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,5,6,7,1,2,4]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,7,3,6,8,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,3,7,6,4,8,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,6,4,2,8,1,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,1,4,3,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,5,1,6,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,5,3,7,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,4,7,6,8,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,1,3,7,6,5,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,3,4,1,6,7,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,4,2,6,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,4,3,7,2,1,5]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,8,1,4,3,2,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,4,3,8,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,3,8,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,1,3,2,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,8,1,4,3,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,8,4,5,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,1,8,6,5,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,2,7,5,1,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,3,7,4,1,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,7,4,3,6,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,2,4,5,6,8,3]=>1000001=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [2,8,7,1,4,5,6,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,1,3,4,5,6,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,3,1,4,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,2,5,4,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,8,1,6,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,2,5,7,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,5,3,4,1,7,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,3,4,1,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,1,4,7,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,8,2,3,1,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,1,5,2,7,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,3,1,4,7,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,1,3,5,6,8,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,2,4,7,8,6,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,8,7,2,3,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,4,5,3,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,5,1,4,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,1,7,4,3,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,7,2,1,8,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,4,7,3,8,6,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,3,8,5,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,8,4,1,7,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,8,4,7,6,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,6,8,4,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,2,4,7,8,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,5,6,3,8,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,2,7,4,5,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,2,6,1,5,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,6,2,5,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,4,5,1,6,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,2,6,3,7,5,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,3,2,6,4,7,5,9,8]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,1,6,3,7,4,8,5,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,4,2,7,6,1,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,7,1,2,6,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,6,1,2,5,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,6,2,1,5,3,4]=>1111010=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,7,8,1,6,2,4,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,9,6,8,4,5,2,3,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,9,5,8,4,6,2,3,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,9,5,8,3,6,2,4,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,8,4,7,5,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,9,5,8,3,6,4,1,2]=>01010110=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [7,9,5,8,6,3,4,1,2]=>01011010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [7,9,8,5,6,3,4,1,2]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [6,9,5,8,4,7,2,3,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,9,4,8,3,6,2,5,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,9,5,8,2,6,1,4,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,8,2,7,1,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,9,5,8,3,6,4,2,1]=>01010111=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [8,10,6,9,4,7,2,5,3,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,8,7,4,2,5,1,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,9,5,8,6,3,1,4,2]=>01011101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [8,10,6,9,4,7,5,2,3,1]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [7,9,8,5,3,6,4,1,2]=>01110110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,10,6,9,7,4,5,2,3,1]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [9,7,5,8,6,3,4,1,2]=>11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [8,10,9,6,7,4,5,2,3,1]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [6,8,4,5,7,2,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,4,2,5,1,3,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,3,2,7,1,8,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,4,3,2,6,1,7,8,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [4,3,2,5,1,6,7,8,9]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [3,2,4,1,5,6,7,8,9]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,5,3,7,6,4,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,7,6,4,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,6,5,4,7,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,8,3,4,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,1,3,6,5,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,2,4,5,7,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,6,2,5,4,7,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,1,7,6,4,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,1,4,5,7,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,3,1,6,5,2,7,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,2,6,5,3,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,1,3,5,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,4,2,5,7,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,6,3,5,1,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,7,6,5,1,2,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,5,2,7,1,3,6,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,1,2,5,3,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,5,1,4,8,7,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,4,7,1,3,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,7,1,3,5,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,1,3,5,7,4,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,3,2,7,4,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,3,1,5,4,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,2,5,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,3,4,6,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,7,1,6,4,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,6,1,3,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,3,5,8,6,1,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,3,6,7,4,2,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,8,3,6,7,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,7,8,5,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,1,7,5,3,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,1,8,5,2,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,6,7,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,2,4,7,3,5,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,1,6,4,7,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,4,5,8,7,3,6]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,4,7,5,8,6,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,5,2,3,7,8,6,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,2,8,1,6,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,5,2,7,4,6,9,8]=>00101001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [1,2,4,3,6,5,8,7,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [1,3,5,7,2,4,6,9,8]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [1,3,5,7,2,4,6,9,8,10]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [1,3,5,7,2,9,4,6,8]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [5,6,1,4,8,3,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,4,1,7,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,2,1,3,7,4,8,9]=>01100100=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [3,2,5,1,6,4,7,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [6,7,2,1,8,3,4,9,5]=>01101001=>([(0,3),(0,4),(1,15),(1,25),(2,14),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,8),(7,9),(8,10),(9,11),(10,12),(11,13),(12,5),(13,5),(14,6),(15,7),(16,18),(16,23),(17,19),(17,23),(18,8),(18,21),(19,9),(19,22),(20,12),(20,13),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,6),(24,18),(25,7),(25,19),(26,16),(26,17),(26,24),(26,25),(27,14),(27,15),(27,16),(27,17)],28) [3,6,4,1,7,2,8,5,9]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [3,6,7,2,1,4,8,5,9]=>00110010=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [4,2,6,1,7,5,3,8,9]=>10101100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [4,3,2,6,1,7,5,8,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [4,7,2,5,1,8,3,9,6]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,3,7,8,2,1,5,9,6]=>10011001=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,24),(3,1),(3,16),(3,17),(4,2),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,23),(17,22),(17,24),(18,7),(18,12),(19,6),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25) [3,5,2,7,1,8,6,4,9]=>01010110=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,4,3,2,7,1,8,6,9]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [6,4,2,8,1,9,7,5,3]=>11010111=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [4,3,6,2,8,1,9,7,5]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [6,5,4,3,2,8,1,9,7]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,4,1,5,3,6,7,8,9,10]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [5,6,2,1,3,7,4,8,9,10]=>011001000=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [3,2,5,1,6,4,7,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [6,7,2,1,8,3,4,9,5,10]=>011010010=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [3,6,4,1,7,2,8,5,9,10]=>011010100=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [3,6,7,2,1,4,8,5,9,10]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [4,2,6,1,7,5,3,8,9,10]=>101011000=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [4,3,2,6,1,7,5,8,9,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [3,4,7,1,8,2,9,5,10,6]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,8,9,3,2,1,4,5,10,6]=>001110001=>([(0,5),(0,6),(1,4),(1,30),(1,33),(2,3),(2,31),(2,32),(3,23),(3,29),(4,9),(4,28),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,30),(24,31),(25,32),(25,33),(26,13),(26,19),(27,14),(27,20),(28,12),(28,26),(29,15),(29,27),(30,22),(30,28),(31,22),(31,23),(32,8),(32,29),(33,8),(33,9)],34) [4,7,2,5,1,8,3,9,6,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,3,7,8,2,1,5,9,6,10]=>100110010=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [3,5,2,7,1,8,6,4,9,10]=>010101100=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [5,4,3,2,7,1,8,6,9,10]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [5,8,9,2,1,6,3,10,7,4]=>001101011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [5,3,8,6,4,1,9,2,10,7]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [3,5,8,2,6,1,9,4,10,7]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,4,3,8,9,2,1,6,10,7]=>110011001=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [6,4,2,8,1,9,7,5,3,10]=>110101110=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [4,3,6,2,8,1,9,7,5,10]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [6,5,4,3,2,8,1,9,7,10]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [5,3,7,2,9,1,10,8,6,4]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [5,4,3,7,2,9,1,10,8,6]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [7,6,5,4,3,2,9,1,10,8]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [5,2,6,3,7,8,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,3,7,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,1,5,7,8,4,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,6,4,7,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,6,3,7,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,6,8,2,3,5,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,4,8,1,2,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,7,5,8,1,4,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,6,8,2,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,6,8,4,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,4,7,2,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,5,8,3,1,7,6]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,7,5,8,3,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,8,7,3,5,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,8,6,2,5,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,7,3,5,6,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,7,6,3,5,4,2,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,8,1,6,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,6,2,5,8,7,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,7,1,4,6,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,5,1,3,4,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,5,1,3,4,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,5,1,2,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,4,1,2,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,5,6,2,4,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,1,2,7,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,6,1,3,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,4,3,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,1,3,7,5,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,5,3,2,1,6,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,2,6,7,8,4,5,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,1,4,8,2,7,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,3,7,1,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,1,8,4,6,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,1,7,3,2,8,6]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,4,5,1,8,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,6,7,4,8,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,2,5,7,4,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,3,8,1,2,4,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,2,7,6,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,2,1,7,6,3,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,7,8,3,1,4,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,3,2,5,1,7,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,3,7,8,2,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,7,1,8,4,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,8,4,6,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,3,2,8,6,5,4]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,7,1,2,8,6,5,4]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,8,1,6,5,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,1,7,6,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,5,7,3,4,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,2,7,6,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,4,7,6,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,2,4,7,6,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,8,7,1,6,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,2,4,6,7,5,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,2,8,1,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,5,8,1,7,6,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,1,8,2,6,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,8,1,4,3,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,8,2,6,7,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,2,8,7,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,7,3,5,2,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,3,2,7,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,4,8,6,2,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,8,1,6,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,4,5,3,1,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,5,3,2,8,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,2,5,3,8,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,1,3,5,2,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,4,5,3,8,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,4,7,2,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,5,4,7,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,8,4,2,5,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,5,8,1,3,4,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,2,8,3,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,4,8,7,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,2,4,8,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,5,4,2,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,2,8,6,4,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,2,7,4,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,7,4,2,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,1,5,2,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,4,2,8,6,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,5,4,6,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,4,6,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,4,1,6,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,1,3,7,6,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,3,1,2,8,7,6]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,2,3,1,8,7,5]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,2,1,3,8,7,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,6,1,8,2,5,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,3,7,6,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,1,2,4,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,6,8,3,5,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,6,4,2,1,3,8]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,7,4,1,3,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,1,8,3,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,8,2,5,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,1,8,3,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,3,6,1,5,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,8,6,4,5,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,8,6,4,5,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,6,2,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,7,4,3,5,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,1,2,6,8,7,5,4]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,7,4,2,1,8,6,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,5,7,2,4,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,4,6,1,8,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,3,8,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,8,1,6,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,8,3,6,2,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,2,3,5,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,8,2,5,7,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,8,2,5,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,4,5,8,3,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,2,4,7,3,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,6,2,7,1,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,4,2,7,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,2,4,1,7,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,1,6,2,4,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,5,7,1,6,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,8,5,6,7,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,2,3,8,7,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,7,6,1,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,3,7,6,1,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,3,7,6,1,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,7,3,5,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,2,3,8,4,7,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,2,3,1,7,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,2,3,4,1,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,7,3,5,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,6,3,5,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,2,3,1,7,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,2,3,8,4,7,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,2,1,4,6,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,5,2,3,1,6,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,3,1,5,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,6,3,1,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,3,4,2,7,5,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,2,7,3,4,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,2,4,5,6,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,8,3,2,5,6,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,8,1,4,6,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,1,5,6,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,2,3,1,5,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,2,3,1,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,2,1,4,6,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,2,7,1,5,6,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,3,8,1,7,5,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,1,5,3,7,6,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,3,8,4,6,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,3,2,6,7,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,3,4,2,7,6,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,4,2,7,5,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,1,3,5,8,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,7,2,3,4,5,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,9,8,10,7,6,5,4,3,2]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [2,8,7,9,6,5,4,3,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,7,2,8,1,4,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,3,7,4,6,1,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,3,7,4,6,1,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,7,3,4,5,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,7,3,4,5,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,4,5,2,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,6,3,4,5,1,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,7,5,1,3,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,1,2,9,4,5,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,1,2,3,9,5,6,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,1,2,3,4,9,6,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,1,2,3,4,5,9,7,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,10,3,4,5,6,7,8,9]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,1,2,10,4,5,6,7,8,9]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,4,1,2,9,5,6,7,8]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [4,1,2,3,10,5,6,7,8,9]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [4,5,1,2,3,9,6,7,8]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [5,1,2,3,4,10,6,7,8,9]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [5,6,1,2,3,4,9,7,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [6,1,2,3,4,5,10,7,8,9]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [6,7,1,2,3,4,5,9,8]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [7,1,2,3,4,5,6,10,8,9]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [4,5,7,2,8,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [9,7,5,3,1,8,6,4,2]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,6,3,8,5,2,7,4,1]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,5,2,9,6,3,7,4,1]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [9,5,1,6,2,7,3,8,4]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [9,5,1,8,4,7,3,6,2]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [8,4,7,3,6,2,9,5,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [7,3,8,4,6,2,9,5,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [9,4,7,2,5,8,3,6,1]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,4,6,1,8,3,5,7,2]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [8,3,5,7,2,9,4,6,1]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [7,2,8,3,9,4,5,6,1]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [8,3,7,2,9,4,5,6,1]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,8,3,7,2,9,4,6,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,5,6,9,3,8,2,7,1]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,5,6,8,2,9,3,7,1]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,3,6,5,4,7,1,8,2]=>10110101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,2,9,3,6,5,4,7,1]=>10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [6,5,4,8,2,9,3,7,1]=>11010101=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [5,6,4,8,2,9,3,7,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,2,7,4,5,6,3,8,1]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [7,4,5,6,3,9,2,8,1]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,7,4,6,3,9,2,8,1]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [10,8,6,4,2,9,7,5,3,1]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [10,7,4,1,8,5,2,9,6,3]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [9,6,3,8,5,2,10,7,4,1]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [9,5,1,7,3,10,6,2,8,4]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,6,2,7,3,8,4,9,5,1]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [7,3,8,4,10,6,2,9,5,1]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,4,7,3,10,6,2,9,5,1]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [10,5,8,3,6,1,9,4,7,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,4,7,2,10,5,8,3,6,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [10,5,7,2,8,3,9,4,6,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,3,10,5,7,2,9,4,6,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,3,9,4,7,2,10,5,6,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,3,5,7,1,10,4,6,8,2]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,4,6,8,2,9,3,5,7,1]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,4,5,6,7,1,8,2,9,3]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [8,2,9,3,10,4,5,6,7,1]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [9,3,8,2,10,4,5,6,7,1]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [5,6,9,3,7,1,10,4,8,2]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,6,10,4,8,2,9,3,7,1]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,6,9,3,8,2,10,4,7,1]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,5,9,3,8,2,10,4,7,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [9,2,7,6,5,4,10,3,8,1]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [10,3,7,6,5,4,8,1,9,2]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [9,2,10,3,7,6,5,4,8,1]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [7,6,5,4,9,2,10,3,8,1]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,4,7,5,10,3,9,2,8,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,4,7,5,9,2,10,3,8,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,5,6,4,9,2,10,3,8,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,5,7,4,9,2,10,3,8,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,6,7,3,8,4,9,1,10,2]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,6,7,3,8,4,10,2,9,1]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,6,8,4,7,3,10,2,9,1]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,5,8,4,7,3,10,2,9,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,2,1,3,6,7,8,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,6,5,7,2,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,2,6,1,8,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,5,2,7,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,5,7,2,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,6,2,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,4,6,2,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,6,4,8,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,1,5,8,4,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,8,4,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,7,5,1,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,7,3,6,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,6,4,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,3,7,4,1,2,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,5,6,2,7,1,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,2,6,5,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,7,3,2,6,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,3,6,4,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,2,3,5,8,1,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,3,7,8,1,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,2,8,1,6,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,4,1,5,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,7,5,1,6,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,6,1,4,3,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,4,2,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,5,8,6,1,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,1,4,6,7,8,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,6,2,1,3,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,5,4,1,3,6,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,5,2,7,4,1,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,5,6,7,8,9,1,3]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,1,6,7,8,4,5,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,5,6,2,1,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,5,6,7,8,9,10,1,3]=>100000010=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [3,7,5,6,2,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,6,3,8,4,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,2,7,8,3,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,1,3,5,2,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,8,3,4,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,2,3,7,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,4,8,2,5,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,5,1,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,1,7,4,2,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,2,1,5,3,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,8,1,5,6,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,4,2,1,8,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,3,6,4,1,2,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,3,5,8,1,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,5,3,8,1,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,2,4,3,5,7,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,8,2,7,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,6,8,4,3,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,5,3,8,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,2,4,3,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,6,1,3,7,8,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,1,5,2,6,7,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,6,3,8,7,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,2,6,8,7,1,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,3,5,2,7,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,2,6,7,1,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,8,7,1,4,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,5,3,1,8,7,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,1,2,3,6,7,4]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,8,6,1,5,4,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,6,1,5,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,6,4,7,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,8,7,5,4,3,2,6]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [8,6,4,7,1,3,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,4,7,6,2,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,4,1,6,2,7,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,1,4,6,3,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,1,6,5,2,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,5,2,4,6,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,5,2,7,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,8,2,7,4,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,2,3,6,4,5,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,2,3,9,5,6,10,8,4]=>100010011=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [6,1,2,9,4,5,3,10,8,7]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [9,1,2,3,8,5,10,7,6,4]=>100010111=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [9,1,2,8,4,3,10,7,5,6]=>100110110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [8,1,2,7,4,10,6,5,3,9]=>100101110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [9,1,8,3,2,5,10,7,4,6]=>101100110=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [8,1,7,3,2,10,6,4,5,9]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [7,1,2,3,10,5,6,9,8,4]=>100010011=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [6,1,2,10,4,5,3,9,8,7]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [8,1,2,3,10,5,9,6,7,4]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [8,1,2,10,4,3,9,5,7,6]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [7,1,2,10,4,9,5,3,6,8]=>100101100=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [8,1,10,3,2,5,9,4,7,6]=>101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [7,1,10,3,2,9,4,5,6,8]=>101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [10,1,2,3,9,5,8,7,6,4]=>100010111=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [10,1,2,9,4,3,8,7,5,6]=>100110110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [10,1,2,9,4,8,3,6,5,7]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [9,1,2,8,4,7,6,5,3,10]=>100101110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [10,1,9,3,2,5,8,7,4,6]=>101100110=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [10,1,9,3,2,8,5,6,4,7]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [9,1,8,3,2,7,6,4,5,10]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [8,1,2,3,10,9,5,7,6,4]=>100011011=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [8,1,2,10,3,9,4,7,6,5]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [7,1,2,10,9,4,6,3,5,8]=>100110100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,1,10,2,4,9,3,7,6,5]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [7,1,10,2,9,3,6,4,5,8]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,1,2,3,9,8,5,6,7,4]=>100011001=>([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33) [10,1,2,9,3,8,4,6,7,5]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,2,9,8,4,3,5,6,7]=>100111000=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [9,1,2,8,7,4,5,6,3,10]=>100110010=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [10,1,9,2,4,8,3,6,7,5]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [10,1,9,2,8,3,4,5,6,7]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [9,1,8,2,7,3,5,6,4,10]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [10,1,9,8,3,2,6,4,5,7]=>101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [9,1,8,7,3,2,4,5,6,10]=>101110000=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [8,10,1,3,4,9,2,7,6,5]=>010001011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,10,1,3,9,2,6,4,5,8]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,9,1,3,4,8,2,6,7,5]=>110001001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33) [10,9,1,3,8,2,4,5,6,7]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [9,8,1,3,7,2,5,6,4,10]=>110010010=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [10,9,1,8,2,3,6,4,5,7]=>110100100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [9,8,1,7,2,3,4,5,6,10]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [6,3,1,8,5,4,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,3,8,7,4,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,4,6,5,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,1,3,6,5,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,2,8,1,3,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,5,1,4,7,3,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,8,4,1,3,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,4,6,5,7,8,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,6,7,5,8,1,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,6,3,7,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,6,8,7,1,3]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,4,5,6,8,3,7,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,5,6,3,8,1,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,4,6,8,5,1,7]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [5,2,8,3,4,1,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,1,2,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,7,3,8,6,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,1,2,5,3,7,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,2,7,6,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,6,8,3,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,7,6,5,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,2,8,6,5,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,5,2,7,1,4,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,5,8,2,7,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,8,2,1,6,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,1,6,5,8,4,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,4,8,5,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,4,5,8,2,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,8,5,2,1,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,7,1,3,2,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,7,4,6,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,1,8,7,6,2,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,3,5,6,8,7,2,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,8,7,5,4,1,6,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,1,5,7,4,2,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,7,3,4,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,1,3,2,8,5,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,5,8,3,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,8,2,4,5,3,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,2,8,4,5,7,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,2,4,5,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,6,4,2,7,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,4,7,6,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,7,5,4,1,2,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,4,7,8,5,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,4,3,7,6,1,8,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,7,1,4,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,2,8,7,6,4,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,4,1,2,3,7,6]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,3,2,1,6,4,7,5]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,8,4,1,7,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,1,3,2,7,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,2,5,8,4,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,7,8,2,5,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,4,6,7,1,5,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,5,7,8,1,6,2]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,8,7,4,3,5,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,4,5,8,1,3,7,6]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,7,8,6,5,3,1,4]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,3,1,5,8,4,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,3,5,6,1,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,6,4,2,7,5,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,3,7,5,8,1,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,2,8,5,6,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,5,8,1,4,6,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,5,8,1,2,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,5,8,1,2,3,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,7,5,2,8,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,2,5,7,8,1,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,7,5,8,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,4,7,3,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,8,4,2,1,6,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,7,9,1,2,3,4,8]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [4,5,6,7,9,1,2,3,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [7,8,10,1,2,3,4,5,6,9]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,5,6,7,8,10,1,2,3,9]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,5,4,7,6,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,5,4,8,7,6,2,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,2,4,5,8,1,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,6,8,4,2,7,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,7,6,3,8,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,5,1,7,2,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,1,6,2,8,5,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,6,8,2,4,7,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,7,4,3,8,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,1,6,5,2,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,4,1,6,2,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,2,8,5,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,6,2,1,5,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,2,7,3,5,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,3,8,7,5,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,7,3,6,5,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,7,4,8,3,9,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,4,6,3,8,2,7,1,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,6,7,5,8,4,9,3,10,2]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [6,5,7,4,8,3,9,2,10,1,11]=>1010101010=>([(0,1),(0,2),(1,18),(1,19),(2,18),(2,19),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,16),(12,17),(13,16),(13,17),(14,10),(14,11),(15,10),(15,11),(16,4),(16,5),(17,4),(17,5),(18,14),(18,15),(19,14),(19,15)],20) [1,6,4,7,3,8,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,3,4,5,6,8,10,7,9]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [3,4,5,6,7,8,2,1,9]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,4,5,6,7,2,1,8,9]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [4,5,6,7,8,1,2,3,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [4,8,1,6,3,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,4,1,6,3,7,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,6,2,4,8,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,3,2,4,8,6,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,4,6,3,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,7,8,3,6,4,5,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,1,4,6,5,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,5,4,1,8,3,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,1,8,5,3,2,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,5,2,1,6,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,4,8,2,6,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,1,3,7,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,6,7,1,4,3,2,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,7,8,6,3,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,2,6,3,4,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,6,1,2,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,1,2,5,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,6,2,1,8,5,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,3,7,6,1,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,2,7,1,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,8,1,5,4,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,2,5,4,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,2,4,8,5,1,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,8,7,3,1,2,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,7,5,2,6,3,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,2,8,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,9,10,4,5,6,2,3,1,7]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,4,5,6,10,2,3,1,7]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [8,9,10,4,5,2,3,6,1,7]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,4,5,10,2,3,6,1,7]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,9,4,5,2,3,6,10,1,7]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [8,4,5,9,10,2,3,6,1,7]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [8,4,5,9,2,3,6,10,1,7]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [8,9,10,4,5,6,2,1,3,7]=>001001100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [8,9,4,5,6,10,2,1,3,7]=>010001100=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [8,9,10,4,5,2,6,1,3,7]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [8,9,4,5,10,2,6,1,3,7]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,4,5,2,6,10,1,3,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,4,5,9,10,2,6,1,3,7]=>100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [8,4,5,9,2,6,10,1,3,7]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,9,10,4,5,2,1,3,6,7]=>001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [8,9,4,5,10,2,1,3,6,7]=>010011000=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [8,9,4,5,2,10,1,3,6,7]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [8,9,4,5,2,1,3,6,10,7]=>010110001=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [8,4,5,9,10,2,1,3,6,7]=>100011000=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32) [8,4,5,9,2,10,1,3,6,7]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [8,4,5,9,2,1,3,6,10,7]=>100110001=>([(0,4),(0,5),(1,29),(1,30),(2,3),(2,31),(2,32),(3,7),(3,28),(4,1),(4,22),(4,23),(5,2),(5,22),(5,23),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,18),(17,19),(18,9),(18,20),(19,10),(19,20),(20,15),(20,16),(21,17),(21,25),(22,30),(22,31),(23,29),(23,32),(24,17),(24,26),(25,12),(25,18),(26,13),(26,19),(27,11),(27,25),(28,14),(28,26),(29,21),(29,27),(30,21),(30,24),(31,8),(31,24),(31,28),(32,7),(32,8),(32,27)],33) [8,9,10,4,2,5,6,1,3,7]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [8,9,4,10,2,5,6,1,3,7]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,4,2,5,6,10,1,3,7]=>011000100=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [8,4,9,10,2,5,6,1,3,7]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [8,4,9,2,5,6,10,1,3,7]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [8,9,10,4,2,5,1,3,6,7]=>001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [8,9,4,10,2,5,1,3,6,7]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [8,9,4,2,5,10,1,3,6,7]=>011001000=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [8,9,4,2,5,1,3,6,10,7]=>011010001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [8,4,9,10,2,5,1,3,6,7]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [8,4,9,2,5,1,3,6,10,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [8,4,2,5,9,10,1,3,6,7]=>110001000=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [8,4,2,5,9,1,3,6,10,7]=>110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [4,8,9,10,2,5,6,1,3,7]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [4,8,9,2,5,6,10,1,3,7]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [4,8,9,10,2,5,1,3,6,7]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [4,8,9,2,5,10,1,3,6,7]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [4,8,9,2,5,1,3,6,10,7]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [4,8,2,5,9,10,1,3,6,7]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [4,8,2,5,9,1,3,6,10,7]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [5,1,2,4,3,7,6,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,8,2,4,3,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,2,5,3,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,7,6,2,4,5,1,3]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,6,2,4,5,3,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,8,7,1,2,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,6,4,3,8,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,3,5,1,4,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,3,5,2,1,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,3,5,2,4,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,2,7,6,5,1,3]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,3,8,5,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,4,5,6,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,3,8,5,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,3,1,6,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,8,6,3,2,5,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,7,2,4,5,6,1,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,8,1,5,7,4,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,6,7,2,1,5,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,6,7,1,4,3,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,4,8,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,5,4,2,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,4,6,1,3,5,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,3,8,7,4,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,8,7,4,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,3,8,7,4,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,8,3,5,1,2,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,7,4,6,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,2,8,3,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,5,1,6,4,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,7,5,1,6,4,3,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [4,5,8,3,1,2,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,8,3,2,1,7,5]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,8,3,5,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,6,3,7,5,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,2,6,8,7,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,3,8,7,4,5,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,1,8,4,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,7,4,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,4,3,7,5,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,2,5,1,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,2,1,5,7,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,2,8,7,4,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,2,8,3,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,2,7,3,8,6,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,3,7,8,1,2,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,3,5,4,7,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,5,4,1,7,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,6,3,8,7,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,1,6,3,2,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,7,4,3,2,5,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,8,5,1,3,7,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,4,1,8,2,7,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,1,3,8,7,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,3,5,4,8,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,7,2,5,6,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,4,1,8,3,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,4,8,3,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,2,7,6,5,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,8,3,2,7,6,5,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,7,3,4,6,5,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,1,2,6,5,8,7,9]=>11001010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [6,5,3,1,2,4,8,7,9]=>11100010=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [8,7,5,3,1,2,4,6,9]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [7,5,3,1,2,4,6,9,8]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [5,3,1,2,4,7,6,9,8]=>11000101=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [4,1,2,6,5,3,8,7,9]=>10011010=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28) [6,5,3,1,2,4,8,7,10,9]=>111000101=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [6,3,1,2,4,8,7,5,9]=>11000110=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [8,7,5,3,1,2,4,6,10,9]=>111100001=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [8,5,3,1,2,4,6,9,7]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [10,9,7,5,3,1,2,4,6,8]=>111110000=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [5,3,1,2,4,6,8,7]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [8,5,7,3,1,2,4,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,5,3,1,2,4,6,8,9]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [3,1,2,8,7,5,4,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,3,1,2,4,9,7,6,8]=>11000110=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [7,5,3,1,2,4,6,9,8,10]=>111000010=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [3,1,2,7,5,4,6,9,8]=>10011001=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,24),(3,1),(3,16),(3,17),(4,2),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,23),(17,22),(17,24),(18,7),(18,12),(19,6),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25) [5,3,1,2,4,7,6,9,8,10]=>110001010=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [1,5,3,2,4,7,6,9,8]=>01100101=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28) [1,4,3,8,5,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,7,1,5,2,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,3,7,6,4,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,1,3,6,2,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,3,4,8,6,5,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,8,2,4,7,3,6,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,3,8,1,5,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,7,4,8,3,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,6,2,4,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,6,7,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,7,3,6,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,6,4,3,8,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,8,6,2,7,5,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,1,6,2,5,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,4,2,5,7,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,3,1,2,4,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,4,8,5,2,3,6,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,8,5,2,3,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,5,8,7,2,4,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,4,2,8,3,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,8,7,3,5,4,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,1,3,2,5,4,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,7,4,2,8,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,6,8,7,2,3,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,5,6,2,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,3,6,7,5,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,7,5,2,8,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,4,3,2,7,5,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,1,4,3,6,5,9,7,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,4,3,7,5,8,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,4,3,7,5,9,6,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,4,3,8,5,9,6,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,3,6,4,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,3,6,4,9,7,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,3,7,4,8,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,3,7,4,9,6,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,3,8,4,9,6,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,6,3,7,4,8,5,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,6,3,7,4,9,5,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,6,3,8,4,9,5,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,7,3,8,4,9,5,10,6]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,4,2,6,5,9,7,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,4,2,7,5,8,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,4,2,7,5,9,6,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,4,2,8,5,9,6,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,5,2,6,4,9,7,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,5,2,8,4,9,6,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,6,2,7,4,8,5,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,6,2,7,4,9,5,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,6,2,8,4,9,5,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,1,7,2,8,4,9,5,10,6]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,5,2,6,3,9,7,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,5,2,7,3,8,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,5,2,7,3,9,6,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,5,2,8,3,9,6,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,6,2,7,3,8,5,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,6,2,7,3,9,5,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,6,2,8,3,9,5,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,7,2,8,3,9,5,10,6]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,1,6,2,7,3,9,4,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,1,6,2,8,3,9,4,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,1,7,2,8,3,9,4,10,6]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,9,8,7,6,5,1,4,3]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,10,9,8,7,6,5,1,4,3]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [6,1,7,3,5,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,6,4,8,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,4,8,7,3,1,5]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,8,7,3,5,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,5,8,7,4,3,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,1,8,5,7,4,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,1,4,7,6,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,1,3,7,2,4,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,7,3,5,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,7,3,5,8,1,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,1,6,4,8,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,6,7,1,4,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,5,3,2,8,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,5,2,8,6,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,1,2,7,4,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,1,8,2,4,5,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,6,3,7,8,1,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,8,4,5,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,7,5,8,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,6,2,4,8,3,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,5,8,1,4,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,4,2,7,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [9,3,4,5,6,7,1,2,10,8]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [1,7,2,8,3,9,4,10,5,6]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,7,2,8,3,9,10,4,5,6]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [1,7,2,8,9,3,4,10,5,6]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [1,7,2,8,9,3,10,4,5,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,7,2,8,9,10,3,4,5,6]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [1,7,8,2,3,9,4,10,5,6]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [1,7,8,2,3,9,10,4,5,6]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [1,7,8,2,9,3,4,10,5,6]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,7,8,2,9,3,10,4,5,6]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [1,7,8,2,9,10,3,4,5,6]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [1,7,8,9,2,3,4,10,5,6]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [1,7,8,9,2,3,10,4,5,6]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [1,7,8,9,2,10,3,4,5,6]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [7,1,2,8,3,9,4,10,5,6]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [7,1,2,8,3,9,10,4,5,6]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,1,2,8,9,3,4,10,5,6]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [7,1,2,8,9,3,10,4,5,6]=>100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [7,1,2,8,9,10,3,4,5,6]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [7,1,8,2,3,9,4,10,5,6]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,1,8,2,3,9,10,4,5,6]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [7,1,8,2,9,3,4,10,5,6]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [7,1,8,2,9,10,3,4,5,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,1,8,9,2,3,4,10,5,6]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [7,1,8,9,2,3,10,4,5,6]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,1,8,9,2,10,3,4,5,6]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [7,1,8,9,10,2,3,4,5,6]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [7,8,1,2,3,9,4,10,5,6]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [7,8,1,2,3,9,10,4,5,6]=>010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [7,8,1,2,9,3,4,10,5,6]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,8,1,2,9,3,10,4,5,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,1,2,9,10,3,4,5,6]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,1,9,2,3,4,10,5,6]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [7,8,1,9,2,3,10,4,5,6]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,8,1,9,2,10,3,4,5,6]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,8,1,9,10,2,3,4,5,6]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [7,8,9,1,2,3,4,10,5,6]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [7,8,9,1,2,3,10,4,5,6]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [7,8,9,1,2,10,3,4,5,6]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,8,9,1,10,2,3,4,5,6]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [8,1,9,2,10,3,11,4,12,5,6,7]=>10101010100=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [8,6,3,5,2,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,3,1,2,5,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,6,4,7,1,2,3]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,1,8,7,3,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,4,3,8,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,6,5,4,3,2,9,8]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,8,4,3,5,1,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,7,3,6,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,1,4,6,8,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,7,3,6,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,7,6,1,3,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,5,6,1,8,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,6,7,4,5,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,2,8,7,1,4,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,3,6,8,1,4,5]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,1,3,8,5,4,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,1,8,3,2,5,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,1,4,2,7,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,1,6,8,7,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,8,2,1,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,1,8,7,5,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,7,2,4,3,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,6,4,1,5,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,7,3,6,2,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,7,4,5,1,3,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,3,8,2,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,1,2,4,8,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,7,4,5,1,3,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,1,2,7,4,3,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,8,7,2,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,8,4,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,4,6,1,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,7,4,1,2,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,7,5,8,2,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,8,4,7,3,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,7,5,4,8,1,2]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,7,2,6,3,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,5,7,4,6,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,3,5,7,8,1,6,4]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,5,7,4,2,3,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,4,7,5,3,6,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,7,2,4,6,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,7,8,6,3,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,3,6,2,5,8,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,3,6,8,2,4,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,1,2,6,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,2,6,3,7,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,3,7,5,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,2,6,5,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,4,2,7,3,6,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,2,3,8,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,4,7,3,5,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,3,6,1,7,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,1,8,3,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,2,1,3,7,5,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,1,7,6,8,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,8,2,4,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,2,6,3,7,5,8,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,8,3,2,4,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,1,5,4,6,7,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,8,5,7,3,1,4,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,8,7,3,1,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,4,2,1,3,8,5,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,1,3,8,5,4,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,1,7,3,8,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,3,2,4,8,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,4,2,7,6,5,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,6,5,7,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,7,3,4,1,5,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,6,2,3,8,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,7,6,2,8,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,8,7,5,2,6,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,6,8,7,2,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,8,3,1,5,4,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,1,5,2,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,8,3,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,6,2,4,3,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,1,6,2,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,3,1,6,4,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,1,5,8,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,8,9,6,5,4,3,2]=>00011111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,6,7,8,9,5,4,3,2]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [1,5,6,7,8,9,4,3,2]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,4,5,6,7,8,9,3,2]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,8,9,10,7,6,5,4,3,2]=>000111111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,7,6,8,9,5,4,3,2]=>01001111=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [1,7,8,9,10,6,5,4,3,2]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,6,5,7,8,9,4,3,2]=>01000111=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [1,6,7,8,9,10,5,4,3,2]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [1,5,4,6,7,8,9,3,2]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [1,5,6,7,8,9,10,4,3,2]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [1,4,5,6,7,8,9,10,3,2]=>000000011=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [4,8,5,1,3,2,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,3,1,2,7,6,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,6,5,2,3,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,1,5,2,3,6,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,3,7,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,2,8,3,7,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,3,6,7,2,5,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [2,6,5,1,3,4,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [2,6,7,4,3,1,5,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,6,3,1,7,4,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,3,7,2,4,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,7,1,5,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,7,5,8,1,3,6,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,6,7,3,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,1,4,7,2,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,5,7,8,6,3,4]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,2,6,7,4,5,3,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,2,7,8,4,6,3,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,5,2,1,7,4,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [4,3,8,6,7,1,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,2,4,7,1,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,2,8,6,1,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,2,6,1,4,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,1,2,6,5,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,7,4,6,1,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,1,2,3,6,8,5]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,4,8,6,3,2,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [8,4,6,7,3,1,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,8,5,1,2,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,6,8,5,2,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,3,5,7,1,2,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,8,5,3,2,4,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,6,7,3,4,2,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,8,3,4,2,5,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,7,5,3,4,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,8,5,3,4,2,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,6,8,4,2,3,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,8,6,4,3,2,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [9,8,7,6,5,2,1,3,4]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [9,8,6,4,7,2,5,1,3]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [7,2,8,9,10,1,3,4,5,6]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [9,7,8,6,5,4,3,2,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [5,1,7,8,4,2,3,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,2,1,6,7,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,8,3,1,7,5,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,5,6,2,1,4,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [9,10,6,4,2,1,3,5,8,7]=>011110001=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34) [10,7,8,4,2,1,3,6,5,9]=>101110010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [9,7,10,4,2,1,3,6,8,5]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [8,9,10,4,2,1,3,7,6,5]=>001110011=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [10,8,5,6,2,1,4,3,7,9]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [9,10,5,6,2,1,4,3,8,7]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,7,5,8,2,1,4,6,3,9]=>110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [9,7,5,10,2,1,4,6,8,3]=>110110001=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [8,9,5,10,2,1,4,7,6,3]=>010110011=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [10,6,7,8,2,1,5,4,3,9]=>100110110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [9,6,7,10,2,1,5,4,8,3]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [8,6,9,10,2,1,5,7,4,3]=>100110011=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [7,8,9,10,2,1,6,5,4,3]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [10,8,6,3,4,2,1,5,7,9]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [9,10,6,3,4,2,1,5,8,7]=>011011001=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [10,7,8,3,4,2,1,6,5,9]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [9,7,10,3,4,2,1,6,8,5]=>101011001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [8,9,10,3,4,2,1,7,6,5]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,8,5,3,6,2,4,1,7,9]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [9,10,5,3,6,2,4,1,8,7]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [10,7,5,3,8,2,4,6,1,9]=>111010010=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [9,7,5,3,10,2,4,6,8,1]=>111010001=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [8,9,5,3,10,2,4,7,6,1]=>011010011=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [10,6,7,3,8,2,5,4,1,9]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [9,6,7,3,10,2,5,4,8,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,6,9,3,10,2,5,7,4,1]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [7,8,9,3,10,2,6,5,4,1]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,8,4,5,6,3,2,1,7,9]=>110011100=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [9,10,4,5,6,3,2,1,8,7]=>010011101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [10,7,4,5,8,3,2,6,1,9]=>110011010=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [9,7,4,5,10,3,2,6,8,1]=>110011001=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [8,9,4,5,10,3,2,7,6,1]=>010011011=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [10,6,4,7,8,3,5,2,1,9]=>110010110=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [9,6,4,7,10,3,5,2,8,1]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [8,6,4,9,10,3,5,7,2,1]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [7,8,4,9,10,3,6,5,2,1]=>010010111=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [10,5,6,7,8,4,3,2,1,9]=>100011110=>([(0,6),(0,7),(1,4),(1,11),(1,28),(2,5),(2,12),(2,27),(3,18),(3,33),(4,20),(4,32),(5,3),(5,19),(5,31),(6,1),(6,29),(6,30),(7,2),(7,29),(7,30),(9,13),(10,14),(11,20),(12,19),(13,15),(14,16),(15,17),(16,8),(17,8),(18,10),(19,18),(20,9),(21,22),(21,25),(22,23),(22,26),(23,15),(23,24),(24,16),(24,17),(25,13),(25,23),(26,14),(26,24),(27,21),(27,31),(28,21),(28,32),(29,27),(29,28),(30,11),(30,12),(31,22),(31,33),(32,9),(32,25),(33,10),(33,26)],34) [9,5,6,7,10,4,3,2,8,1]=>100011101=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [8,5,6,9,10,4,3,7,2,1]=>100011011=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [7,5,8,9,10,4,6,3,2,1]=>100010111=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [12,10,7,8,3,4,2,1,6,5,9,11]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [12,10,6,7,3,8,2,5,4,1,9,11]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,9,6,7,3,10,2,5,4,8,1,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [12,6,7,8,9,10,5,4,3,2,1,11]=>10000111110=>([(0,8),(0,9),(1,6),(1,12),(1,37),(2,7),(2,11),(2,36),(3,25),(3,45),(4,24),(4,46),(5,4),(5,26),(5,47),(6,5),(6,23),(6,43),(7,3),(7,22),(7,44),(8,1),(8,38),(8,39),(9,2),(9,38),(9,39),(11,22),(12,23),(13,18),(14,19),(15,20),(16,21),(17,16),(18,17),(19,15),(20,10),(21,10),(22,25),(23,26),(24,14),(25,13),(26,24),(27,30),(27,31),(28,27),(28,40),(29,33),(29,34),(30,16),(30,32),(31,15),(31,32),(32,20),(32,21),(33,28),(33,35),(34,28),(34,42),(35,27),(35,41),(36,29),(36,44),(37,29),(37,43),(38,36),(38,37),(39,11),(39,12),(40,17),(40,30),(41,19),(41,31),(42,18),(42,40),(43,33),(43,47),(44,34),(44,45),(45,13),(45,42),(46,14),(46,41),(47,35),(47,46)],48) [11,3,4,5,6,7,8,10,1,2,9]=>1000000100=>([(0,6),(0,7),(1,5),(1,24),(1,25),(2,18),(2,32),(3,4),(3,20),(3,34),(4,2),(4,19),(4,33),(5,3),(5,17),(5,31),(6,26),(6,27),(7,1),(7,26),(7,27),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,20),(18,9),(19,18),(20,19),(21,10),(21,28),(22,11),(22,23),(23,15),(23,16),(24,28),(24,31),(25,10),(25,17),(26,21),(26,25),(27,21),(27,24),(28,14),(28,29),(29,12),(29,30),(30,13),(30,22),(31,29),(31,34),(32,9),(32,23),(33,22),(33,32),(34,30),(34,33)],35) [2,10,4,5,6,7,9,1,3,8]=>010000100=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [10,3,4,5,6,7,1,9,2,8]=>100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [2,7,4,1,5,8,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,4,7,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,3,4,2,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,3,8,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,7,8,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,8,4,5,6,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,8,4,6,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,8,4,6,7,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,3,4,2,1,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,8,4,6,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,7,6,3,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,3,2,1,4,5]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,8,2,7,1,5,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,2,6,1,4,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,1,2,4,6,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,8,3,4,5,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,3,4,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,1,2,4,3,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,6,8,1,4,2,3,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,4,3,7,8,5,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,6,3,4,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,5,2,1,8,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,5,3,8,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,6,8,5,1,7,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,4,8,6,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,8,4,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,2,8,5,4,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,3,7,8,4,6,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,1,3,8,4,7,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,2,8,4,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,8,7,5,4,6,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,7,2,3,8,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,6,5,7,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,7,5,6,8,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,8,7,4,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,5,8,4,7,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,8,5,7,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,7,1,8,3,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,5,4,2,3,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,1,2,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,5,7,6,3,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,1,6,3,5,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,5,3,8,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,5,2,1,8,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,4,3,6,7,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,2,1,5,3,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,3,8,6,7,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,6,5,1,8,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,8,1,6,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,1,6,7,3,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,8,4,6,7,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,3,8,1,7,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,7,1,6,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,6,5,7,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,5,6,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,5,3,7,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,3,6,8,1,5,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,6,3,7,8,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,8,7,2,1,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,5,6,3,4,8,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,8,6,3,1,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,2,4,5,8,6,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,3,8,4,7,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,3,6,8,5,4,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,8,5,4,1,3,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,4,5,2,8,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,4,2,8,1,6,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,6,3,2,8,4,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,3,6,8,4,5,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,5,4,8,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,8,3,6,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,5,2,8,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,1,6,7,4,5,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,5,4,7,6,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,6,8,2,4,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,3,2,4,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,2,5,1,7,3,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,2,5,7,3,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,8,4,2,3,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,5,2,8,3,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,2,4,3,8,7,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,3,4,1,8,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,5,3,8,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,4,8,3,1,2,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,4,6,3,8,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,3,7,6,1,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,4,2,6,8,7,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,7,2,5,8,6,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,7,6,1,5,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,2,8,7,4,6,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,2,6,5,1,4,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,2,7,6,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,6,5,7,1,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,4,7,2,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,5,1,7,6,3,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,8,1,7,6,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,6,2,5,7,1,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,5,2,6,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,7,2,4,6,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,1,3,4,7,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,1,7,6,4,3,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,4,8,3,6,5,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,5,1,7,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,8,1,3,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,2,7,4,5,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,3,8,5,6,1,2]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,1,8,7,4,5,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,1,8,7,3,5,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,1,7,6,3,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,2,6,8,5,7,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,4,3,2,7,5,1]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [1,3,4,7,8,2,6,5]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,5,4,3,8,7,2,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,5,8,4,3,6,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,8,2,6,4,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [10,9,8,6,4,2,1,3,5,7]=>111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [10,8,7,6,4,2,1,3,5,9]=>111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [10,7,9,6,4,2,1,3,8,5]=>101111001=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34) [10,9,8,7,6,4,2,1,3,5]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,8,6,5,4,2,1,3,7,9]=>111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [10,9,8,6,5,4,2,1,3,7]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,8,5,7,4,2,1,6,3,9]=>110111010=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [10,5,9,7,4,2,1,6,8,3]=>101111001=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34) [10,9,8,5,7,4,2,1,6,3]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,8,7,6,5,4,2,1,3,9]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,7,9,6,5,4,2,1,8,3]=>101111101=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [10,6,9,8,5,7,2,1,4,3]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [10,8,6,4,3,2,1,5,7,9]=>111111000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [10,9,8,6,4,3,2,1,5,7]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,8,7,6,4,3,2,1,5,9]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,7,9,6,4,3,2,1,8,5]=>101111101=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [10,8,6,3,5,2,4,1,7,9]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,9,8,6,3,5,2,4,1,7]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [10,8,3,7,5,2,4,6,1,9]=>110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [10,3,9,7,5,2,4,6,8,1]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [10,9,8,3,7,5,2,4,6,1]=>111011001=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [10,8,7,6,3,5,2,4,1,9]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [10,7,9,6,3,5,2,4,8,1]=>101101001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [10,9,3,8,6,5,2,7,4,1]=>110111011=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [10,9,8,7,6,3,5,2,4,1]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [10,8,6,5,4,3,2,1,7,9]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [10,8,5,7,4,3,2,6,1,9]=>110111010=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [10,5,9,7,4,3,2,6,8,1]=>101111001=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34) [10,9,8,5,7,4,3,2,6,1]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,8,4,7,6,3,5,2,1,9]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [10,4,9,7,6,3,5,2,8,1]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [10,4,9,6,8,3,5,7,2,1]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [10,9,8,4,7,6,3,5,2,1]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [10,7,9,6,5,4,3,2,8,1]=>101111101=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [10,6,9,8,5,4,3,7,2,1]=>101111011=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [10,5,9,8,7,4,6,3,2,1]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [12,11,10,9,8,7,6,5,4,2,1,3]=>11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [12,11,10,9,8,7,6,4,3,2,1,5]=>11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [12,11,10,9,8,6,5,4,3,2,1,7]=>11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [12,11,10,8,7,6,5,4,3,2,1,9]=>11111111110=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [3,5,6,2,4,7,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [3,5,6,7,2,4,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,7,6,8,2,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,2,6,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,2,7,6,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,4,2,6,8,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,5,4,7,2,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,5,7,2,6,8,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,4,5,7,2,8,6,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,4,7,8,2,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,4,7,2,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,5,7,4,8,6,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,7,4,2,8,6,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,7,8,4,2,6,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,5,7,8,4,6,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,5,2,7,8,6,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,7,8,2,6,4,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,5,7,8,6,2,4,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,2,5,6,7,8,9,1,4]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,2,5,6,7,3,8,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,5,6,7,8,9,3,1]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [3,2,4,5,6,7,8,9,10,11,1]=>1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27) [8,6,1,4,3,5,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,8,4,3,5,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,6,4,8,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,2,5,3,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,4,1,5,3,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,1,3,5,2,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,8,3,5,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,3,1,2,5,4,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,1,8,2,5,4,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,5,1,8,7,6,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,4,8,1,7,6,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,2,4,6,8,1,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,8,6,7,2,5,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,5,7,3,8,2,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,8,1,2,5,3,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,5,6,8,2,1,4,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,5,4,1,3,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,5,8,6,3,1,7]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,8,2,3,1,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,5,8,2,3,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,7,5,1,8,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,3,6,5,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,4,2,6,7,1,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,3,8,6,2,1,4]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,1,8,2,6,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,6,7,5,2,8,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,7,2,4,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,2,8,6,7,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,8,6,1,4,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,6,8,4,5,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,7,6,8,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,6,2,4,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,2,4,5,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,6,2,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,5,8,3,4,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,8,7,1,3,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,3,4,8,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,3,6,5,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,5,7,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,8,6,5,7,4,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,2,7,4,3,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,2,8,4,3,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,8,3,4,2,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,8,5,2,4,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,3,7,2,4,1,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,2,8,6,3,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,5,7,2,4,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,8,2,6,5,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,4,7,8,5,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,1,5,7,8,4,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,1,5,7,2,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,4,6,3,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,7,1,2,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,5,2,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,1,5,2,7,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,2,3,7,6,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,6,2,7,4,8,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,3,2,4,8,6,5]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,3,1,8,2,6,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,3,2,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,3,8,6,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,5,3,8,1,4,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,5,8,1,3,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,2,4,3,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,4,3,8,1,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,7,4,8,6,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,5,3,2,8,7,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,7,3,8,5,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,3,2,5,6,4,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,1,8,2,6,5,4,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,2,8,1,4,5,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,8,4,1,5,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,3,1,5,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,3,4,1,5,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,6,2,4,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,8,1,4,3,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,8,1,3,2,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,8,5,3,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,1,3,2,5,6,7]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,6,1,2,3,5,4,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,1,5,2,4,6,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,3,1,5,4,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,8,4,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,6,3,8,1,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,3,4,5,6,7,2,8,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [7,4,5,6,8,1,3,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,8,1,4,5,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,1,8,4,6,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,8,5,6,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,8,1,7,4,5,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,2,5,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,2,3,5,8,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,8,5,6,4,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,8,4,5,1,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,7,8,1,3,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,6,4,7,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,2,1,7,8,4,6]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,1,3,6,7,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,5,3,8,4,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,6,2,3,5,1,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,2,5,3,4,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,2,5,3,4,8,7,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,5,3,4,8,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,8,1,7,2,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,3,4,8,7,2,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,3,4,8,7,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,3,8,4,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,3,8,1,4,7,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,5,8,1,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,5,4,8,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,6,5,4,8,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,2,4,8,7,6,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,5,3,6,8,4,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,5,1,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,1,7,4,8,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,7,6,4,1,5]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,6,3,7,4,1,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,2,3,1,6,4,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,3,6,4,2,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,7,4,8,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,7,3,2,5,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,5,2,6,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,2,8,1,3,6,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,2,5,7,4,6,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,6,3,1,2,5,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,1,3,7,2,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,2,5,3,6,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,5,1,4,6,2,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,4,1,5,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,4,7,5,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,2,4,7,8,3,5]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,4,6,5,7,1,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,8,9,10,1,4,5,6,7]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [4,2,6,7,8,5,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,2,4,7,8,5,3,1]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,5,2,1,7,8,6,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,7,8,6,5,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,2,7,8,6,4,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,1,2,6,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,6,3,2,4,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,8,1,2,3,7,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,1,3,6,8,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,2,7,1,4,6,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,8,5,7,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,8,5,7,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,1,4,6,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,7,6,1,3,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,1,6,5,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,3,6,8,2,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,8,5,4,7,6,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,6,8,7,3,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,6,5,1,3,8,7,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,6,2,1,8,7,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,8,5,1,4,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,5,4,1,2,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,8,1,4,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,1,4,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,7,5,8,6,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,5,7,6,3,4,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,2,6,1,4,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,5,1,8,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,8,5,3,4,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,5,3,1,7,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,5,6,4,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,7,6,8,5,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,4,7,8,9,1,5,6]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,6,7,8,9,1,4,5]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,5,6,7,8,9,1,3,4]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,3,4,5,1,9,6,7,8]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,3,4,1,8,9,5,6,7]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,3,4,5,8,9,10,1,6,7]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,3,1,7,8,9,4,5,6]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,4,7,8,9,10,1,5,6]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,1,6,7,8,9,3,4,5]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,3,6,7,8,9,10,1,4,5]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,5,6,7,8,9,10,1,3,4]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,5,6,3,4,1,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,2,1,5,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,7,2,3,8,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,3,7,8,1,2,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,5,8,1,6,4,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,4,5,8,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,5,6,3,1,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,6,1,5,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,7,8,1,5,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,2,6,7,8,3,1,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,6,2,7,8,3,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,7,5,8,4,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,5,1,4,6,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,6,7,1,8,4,3]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,5,3,6,4,2,1,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,7,8,1,2,5,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,5,8,1,2,3,6,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,8,7,4,6,5,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,1,4,8,7,3,6,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,1,8,7,5,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,2,7,6,1,5,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,6,5,3,1,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,3,7,6,2,4,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,8,2,7,4,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,7,1,6,4,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,2,8,1,7,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,4,1,6,3,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,6,5,3,2,4,8,7]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,3,5,2,4,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,2,5,1,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,1,4,3,2,6,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,1,3,5,4,6,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,3,7,5,4,2,6,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,6,8,7,5,2,3,4]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,3,6,1,8,5,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,6,2,5,4,8,7]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,8,7,3,6,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,3,8,4,9,5,10,6]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,5,7,6,3,1,8,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,7,5,1,3,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,5,1,4,7,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,7,3,1,5,8,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,1,8,7,3,6,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,4,7,5,3,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,5,1,8,7,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,1,5,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,3,6,7,5,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,3,5,7,4,1,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,3,8,4,7,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,5,2,4,7,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,8,1,4,2,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,2,3,6,5,8,7,9]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [4,1,2,3,6,5,8,7,10,9]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [4,1,6,2,3,5,8,7,9]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [1,3,4,8,5,6,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,7,1,8,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,8,5,6,7,2,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,4,1,5,7,8,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,4,1,3,6,7,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,2,3,8,1,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,7,4,8,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,8,1,7,4,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,4,7,3,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,3,1,2,5,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,4,6,8,3,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,4,7,3,1,2,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,2,1,5,4,8,6]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,6,4,8,1,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,1,6,2,3,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,3,6,5,2,4,7,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,5,1,2,8,7,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,1,2,7,6,3,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,7,3,1,2,4,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,8,1,4,5,3,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,2,8,7,3,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,1,2,4,3,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,8,1,2,4,6,5]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,3,4,1,2,6,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,3,1,2,6,5,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,8,2,7,4,5,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,2,3,5,4,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,6,1,3,5,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,7,2,5,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,1,7,4,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,5,1,7,3,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,4,5,1,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,8,1,7,5,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,3,7,1,5,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,4,7,2,6,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,3,7,6,4,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,3,7,1,4,5,6,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,3,6,1,2,5,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,7,6,2,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,3,6,1,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,7,1,3,4,6,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,4,2,3,7,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,4,7,3,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,6,3,1,4,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,1,4,7,3,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,7,2,6,3,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,7,3,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,6,7,5,4,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,4,1,7,5,6,2,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,4,7,6,5,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,7,6,4,5,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,2,3,6,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,4,7,3,6,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,7,6,4,5,2,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,7,6,4,5,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,4,7,3,6,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,3,1,9,8,7,6,5,4]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,2,1,9,8,7,6,5]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [4,5,3,2,1,9,8,7,6]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [5,6,4,3,2,1,9,8,7]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,7,5,4,3,2,1,9,8]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,8,1,5,3,7,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,2,4,7,5,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,8,4,7,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,8,2,3,5,6,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,7,6,2,3,5,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,7,6,2,3,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,2,3,7,6,4,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,8,6,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,3,7,4,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,8,3,7,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,5,6,4,8,2,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,7,8,5,2,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,2,3,4,5,9,6,10,8]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [4,6,1,8,2,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,2,8,4,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,3,5,2,8,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,8,6,3,7,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,5,8,1,3,7,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,3,5,1,8,4,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,6,3,1,5,8,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,4,8,6,3,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,4,8,6,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,5,4,8,6,3,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,5,8,2,1,7,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,4,1,2,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,4,3,5,2,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,5,4,8,2,6,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,5,4,8,2,6,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,4,5,1,2,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,5,1,8,6,2,7]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,4,8,1,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,8,5,6,1,2,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,8,5,6,2,1,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,4,8,1,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,3,1,5,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,6,2,5,4,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,1,7,4,3,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,6,4,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,4,1,6,5,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,1,6,4,3,5,2,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,7,8,2,6,4,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,1,6,5,3,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,5,6,4,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,4,3,7,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,8,6,4,5,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,6,2,3,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,8,5,3,7,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,7,2,8,6,3,1]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,7,4,5,1,6,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,8,1,2,5,7,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,6,8,5,1,3,7,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,4,5,2,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,4,6,1,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,2,1,6,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,6,8,3,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,4,6,1,2,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,5,6,1,7,2,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,7,4,5,2,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,5,9,6,7,2,8,3]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [3,4,5,6,7,1,8,2,10,9]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,4,5,9,6,1,7,3,8]=>00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [3,4,5,7,6,1,9,2,8]=>00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [1,4,2,6,5,3,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,8,4,6,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,9,7,1,8,2,4]=>00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [1,4,8,5,6,2,7,9,3]=>00101001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [1,4,5,6,10,7,8,2,9,3]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,4,5,6,10,7,1,8,3,9]=>000011010=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34) [3,4,5,6,8,7,1,10,2,9]=>000011010=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34) [2,5,9,6,7,3,1,4,8]=>00101100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28) [4,1,5,2,7,6,3,9,8]=>10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,4,1,6,9,5,7,2,8]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,2,6,3,4,1,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,5,8,2,1,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,4,8,3,5,6,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,7,4,2,3,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,7,9,8,1,3,4,2,5]=>00110010=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [9,1,5,2,8,6,3,7,4]=>10101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,5,6,7,10,8,1,9,2,4]=>000011010=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34) [1,7,4,5,2,6,8,9,3]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [1,4,5,9,6,7,2,8,10,3]=>000101001=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [4,3,1,8,5,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,2,4,8,1,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,2,4,5,8,1,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,7,4,6,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,2,4,6,1,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,3,2,4,5,7,1,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,4,6,2,1,3,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,7,2,4,1,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,8,7,6,2,3,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,2,3,8,7,1,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,2,4,1,3,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,6,8,5,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,3,4,1,6,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [9,2,3,4,5,6,1,8,7]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,2,3,4,5,1,7,8,6]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [9,2,3,4,1,6,7,8,5]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [9,2,3,1,5,6,7,8,4]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,2,1,4,5,6,7,8,3]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [10,2,3,4,5,6,7,1,9,8]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [5,2,3,4,1,9,6,8,7]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [10,2,3,4,5,6,1,8,9,7]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [4,2,3,1,9,5,7,8,6]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [10,2,3,4,5,1,7,8,9,6]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [3,2,1,9,4,6,7,8,5]=>11010001=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [10,2,3,4,1,6,7,8,9,5]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [2,1,9,3,5,6,7,8,4]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,2,3,1,5,6,7,8,9,4]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [10,2,1,4,5,6,7,8,9,3]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [7,4,3,8,1,6,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,5,1,4,3,8,7,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,6,2,5,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,3,2,4,5,8,1,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,6,4,5,8,3,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,4,8,6,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,2,8,1,4,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,8,7,4,2,3,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,7,2,4,5,8,6,3]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,6,8,7,2,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,6,2,7,5,3,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,2,6,4,5,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,3,2,8,5,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,2,4,8,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,8,4,2,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,2,4,7,5,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,7,4,3,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,8,2,3,6,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,9,1,2,3,4,5,7]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [5,8,9,1,2,3,4,6,7]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,5,3,6,7,1,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,1,5,7,2,3,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,1,5,7,3,8,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,2,7,3,8,5,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,1,6,3,8,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,4,3,8,6,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,7,3,1,4,5,8,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,4,5,1,7,6,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [2,3,4,1,6,5,8,7,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,3,4,5,6,7,1,9,8,10]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,3,4,5,1,8,6,9,7]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [2,3,4,1,7,5,8,6,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,3,4,5,1,7,6,9,8,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,5,8,3,2,7,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,3,1,7,6,5,2]=>1110111=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,6),(2,7),(3,16),(3,17),(4,1),(4,16),(4,17),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,10),(13,11),(14,8),(14,13),(15,9),(15,13),(16,12),(16,18),(17,12),(17,19),(18,7),(18,14),(19,6),(19,15)],20) [1,2,6,7,5,3,4,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,2,6,8,7,4,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,6,7,9,1,8,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,5,6,8,2,7,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [3,4,5,6,7,8,10,1,9,2]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,4,5,6,7,9,2,8,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,5,6,7,1,9,8,2]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [7,2,1,4,5,6,3,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,5,6,7,3,4,2,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,8,5,2,1,7,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,7,8,2,4,5,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,7,8,2,1,3,5,6]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,7,8,3,2,4,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,8,2,3,1,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,4,2,1,9,8,7,6]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,5,3,4,2,1,9,8,7]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,6,4,5,3,2,1,9,8]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [4,5,2,7,8,6,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,3,5,8,7,2,6,4]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,4,1,8,5,7,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,3,8,7,5,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,1,6,7,2,4,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,7,2,1,5,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,6,1,3,8,7,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,2,5,6,1,3,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,1,2,5,8,3,7]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,3,5,7,1,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,5,2,6,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,5,4,7,1,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,4,1,5,7,3,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,1,6,2,3,7,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,9,6,1,2,3,4,10,5]=>001100001=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33) [2,8,9,10,7,1,3,4,5,6]=>000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [8,9,7,5,6,1,2,3,10,4]=>011010001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [2,9,10,8,6,7,1,3,4,5]=>001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [7,8,9,5,1,2,3,4,10,6]=>001100001=>([(0,5),(0,6),(1,29),(1,31),(2,3),(2,30),(2,32),(3,4),(3,9),(3,23),(4,14),(4,27),(5,1),(5,24),(5,25),(6,2),(6,24),(6,25),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,26),(23,18),(23,27),(24,29),(24,30),(25,31),(25,32),(26,13),(26,20),(27,12),(27,19),(28,15),(28,26),(29,22),(29,28),(30,22),(30,23),(31,8),(31,28),(32,8),(32,9)],33) [7,8,9,1,6,2,3,4,10,5]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [2,8,9,10,6,1,3,4,5,7]=>000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [2,8,9,10,1,7,3,4,5,6]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [2,8,3,6,4,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,3,4,8,2,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,8,7,3,6,2,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,4,5,1,2,6,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [5,2,7,6,8,3,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,5,2,7,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,7,4,5,2,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,4,2,8,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,5,8,2,7,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,7,4,5,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,8,4,5,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,3,8,2,7,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,8,4,7,5,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,3,6,2,7,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,3,5,6,7,8,9,10,1]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,7,8,4,3,6,5,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,7,8,3,6,5,4,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [6,4,5,8,7,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,1,7,2,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,5,7,3,8,1,4,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,3,5,2,1,6,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,6,4,7,1,8,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,5,7,3,8,2,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,8,5,3,7,6,2,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,2,3,8,7,5,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,1,4,2,7,8,3,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,1,3,7,8,4,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,1,3,2,7,8,6,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,7,4,2,3,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,7,3,2,4,6,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,3,2,6,8,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,4,6,8,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,4,1,7,5,6,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,3,7,6,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,2,5,7,3,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,8,2,5,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,3,6,4,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,6,7,2,4,8,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,2,8,4,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,5,3,6,8,7,9]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [2,4,1,7,3,8,5,6,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [5,3,4,1,7,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,7,6,5,8,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,8,4,5,7,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,8,3,2,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,8,4,3,5,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,6,3,1,8,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,4,1,3,7,2,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,2,1,6,8,5,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,3,5,6,4,7,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,7,1,5,6,2,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,6,5,3,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,2,5,6,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,6,4,7,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,5,2,3,1,6,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,6,3,5,1,7,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,3,2,6,4,1,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,1,5,3,6,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,5,1,4,6,7,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,5,1,3,4,6,7,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,8,6,2,5,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,4,6,5,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,4,2,5,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,2,5,1,4,7,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,5,1,2,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,5,3,2,6,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,5,2,4,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,6,4,1,3,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,5,2,8,6,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,4,7,1,3,5,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,4,3,2,1,7,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,1,8,5,4,3,7,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,2,8,5,4,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,8,5,3,2,7,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [9,10,6,7,4,5,2,3,1,8]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [8,5,4,6,2,7,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,5,4,7,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,7,3,4,8,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,4,7,8,1,3,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,5,9,3,6,1,2,4,7]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,7,1,5,8,3,6,2,4]=>11001010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [9,7,5,4,1,3,8,2,6]=>11110010=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [8,9,4,5,10,1,2,3,6,7]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [8,4,3,9,10,1,2,5,6,7]=>110010000=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [9,6,10,1,3,7,8,2,4,5]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [9,10,6,7,4,5,1,2,3,8]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [9,6,4,10,3,7,1,2,5,8]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,1,8,9,6,7,4,5,2,3]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [10,8,6,1,4,9,3,7,2,5]=>111001010=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [10,8,6,5,4,1,3,9,2,7]=>111110010=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [10,8,7,6,5,4,3,1,2,9]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [4,8,5,6,1,2,7,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,6,8,7,1,4,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,7,8,5,4,6,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,1,5,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,1,2,6,7,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,2,3,6,4,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,3,7,5,8,6,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,5,1,2,4,7,6]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,3,6,4,8,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,3,4,6,5,7,8,9,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [1,2,3,4,5,6,8,7,9,10]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,7,6,2,8,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,5,8,6,4,7,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,6,2,8,1,7,3,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,4,5,1,3,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,3,8,1,4,6,7]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,6,8,3,2,4,5,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [9,6,5,4,3,2,1,7,8]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [10,7,6,5,4,3,2,1,8,9]=>111111100=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [9,8,5,4,3,2,1,6,7]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [8,6,5,2,4,3,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,5,3,7,4,8,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,4,2,6,3,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,3,2,6,4,7,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,4,6,5,8,2,3,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,5,8,2,4,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,4,8,2,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,5,4,8,2,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,8,4,5,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,5,7,4,2,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,7,4,8,5,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,4,8,5,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,6,4,3,7,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,4,2,5,7,1,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,5,4,6,8,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [9,1,2,3,4,5,8,7,6]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,1,2,3,4,8,6,7,5]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [8,1,4,7,3,5,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [9,1,2,8,4,5,6,7,3]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,3,7,2,4,5,6,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [9,1,8,3,4,5,6,7,2]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,1,2,3,4,5,6,9,8,7]=>100000011=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [9,1,2,3,4,7,8,6,5]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [10,1,2,3,4,5,9,7,8,6]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [9,1,2,3,6,8,5,7,4]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,1,2,5,8,4,6,7,3]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [10,1,2,3,9,5,6,7,8,4]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [8,1,4,5,7,3,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [9,1,4,8,3,5,6,7,2]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [10,1,2,9,4,5,6,7,8,3]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [9,3,8,2,4,5,6,7,1]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [5,6,3,4,2,8,7,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,5,7,4,6,8,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,5,6,4,1,3,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,1,3,5,7,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,2,7,5,8,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,6,8,5,2,1,7]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,3,2,1,8,6,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,6,5,8,1,7,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,8,5,2,3,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,2,8,6,7,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,2,8,6,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,8,6,2,4,7,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,5,1,6,4,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,2,4,5,8,6,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,2,1,3,8,6,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,3,6,8,5,1,7]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,1,3,2,8,6,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,5,8,6,1,7,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,4,5,8,6,1,2,7]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [6,4,1,3,7,8,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,3,1,2,5,4,8,7]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,1,2,5,4,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,6,4,1,3,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,8,2,4,3,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,7,8,2,6,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,8,5,1,2,6,7,4]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,7,8,3,6,5,1]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,4,7,8,3,6,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,1,3,2,5,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,8,5,7,2,3,6]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,8,7,3,2,4,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,6,2,7,3,4,1,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,2,7,3,4,5,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,3,2,8,7,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,1,6,7,8,3,2,4]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,5,6,3,7,2,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,6,7,4,2,3,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,1,6,7,3,4,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,1,7,3,4,5,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,5,1,7,4,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,4,2,3,5,7,6,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,8,5,2,3,1,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,8,3,1,2,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,7,3,2,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,5,1,7,3,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,7,3,8,1,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,2,6,7,1,5,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,8,3,6,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,7,5,1,8,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,2,6,8,7,4,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,6,8,4,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,2,3,7,5,8,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,7,5,1,2,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,5,4,8,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,2,3,8,7,4,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,2,8,4,6,5,3]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,8,1,2,7,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,3,6,8,5,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,2,8,5,3,4,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,3,5,4,7,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,7,6,4,1,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,3,7,5,1,6,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,5,7,1,4,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,7,1,5,6,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,7,1,6,3,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,9,2,1,4,5,6,7,8]=>01100000=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [4,6,5,7,2,3,8,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,6,7,2,5,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,3,6,7,4,8,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,8,3,6,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,2,7,8,5,6,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,3,7,8,1,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,7,8,4,2,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,6,7,3,2,8,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,5,3,7,8,1,2]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,4,7,8,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,6,3,2,8,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,2,8,3,4,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,4,8,1,6,5,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,4,8,6,7,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,6,4,8,7,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,7,8,6,5,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,4,5,6,8,9,1,7,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,6,7,8,9,1,5,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,5,6,7,8,9,1,4,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,5,6,7,8,9,1,3,2]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,5,6,7,9,10,1,8,2]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,4,5,7,8,9,10,1,6,2]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [5,2,6,7,8,1,4,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,6,7,8,9,10,1,5,2]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [4,5,6,7,8,9,10,1,3,2]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,1,4,5,6,7,8,9,11,2,10]=>1000000010=>([(0,7),(0,8),(1,3),(1,12),(1,24),(2,20),(2,28),(3,5),(3,19),(3,27),(4,6),(4,21),(4,29),(5,4),(5,23),(5,31),(6,2),(6,22),(6,30),(7,25),(7,26),(8,1),(8,25),(8,26),(10,15),(11,10),(12,19),(13,14),(14,16),(15,13),(16,17),(17,9),(18,9),(19,23),(20,18),(21,22),(22,20),(23,21),(24,10),(24,27),(25,11),(25,12),(26,11),(26,24),(27,15),(27,31),(28,17),(28,18),(29,14),(29,30),(30,16),(30,28),(31,13),(31,29)],32) [4,8,2,7,5,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,2,4,6,5,8,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,4,2,3,1,7,8,6]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,8,1,7,4,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,6,1,7,2,3,4]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,4,3,8,2,6,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,7,5,6,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,6,7,5,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,4,7,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,8,7,3,6,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,8,6,1,4,5,2]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,7,8,2,1,5,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,7,6,3,8,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,1,4,6,2,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,5,3,8,7,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,5,6,2,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,5,1,6,3,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,6,2,3,5,1,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,4,6,7,3,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,6,7,8,2,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,3,4,1,2,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,8,4,6,1,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,7,8,6,5,1,3,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,4,6,7,3,5,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,8,4,7,3,5,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,5,8,3,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,7,3,5,6,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,4,2,8,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,4,6,2,1,7,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,6,2,1,7,4,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,8,2,4,6,5,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,6,2,5,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,4,3,7,6,1,2]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,1,3,6,7,5,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,8,6,1,7,4,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,1,4,7,5,2,6,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,8,6,7,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,6,7,8,5,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,7,8,6,4,1,5,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,2,3,6,7,8,9,1]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [6,5,4,2,3,7,8,9,1]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [7,6,5,4,2,3,8,9,1]=>11110001=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [4,6,1,5,7,2,3,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,5,3,2,7,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,4,8,1,3,7,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,5,3,1,7,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,5,3,1,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,8,7,2,4,3,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,7,8,6,4,2,3,1]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,7,5,1,3,2,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,8,2,6,7,5,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,6,3,8,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,4,1,8,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,6,8,3,2,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,4,2,8,1,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,3,4,8,7,1,2,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,4,8,1,6,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,6,7,8,2,4]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,4,7,8,6,1,2,5]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,1,4,7,8,6,3,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,4,5,8,1,6,3,7]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,4,6,8,2,5,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,8,5,6,4,2,3,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,7,6,2,4,5,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,8,5,7,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,7,2,5,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,5,1,8,6,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,7,1,6,5,3,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,6,4,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,8,5,7,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,1,4,6,2,7,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,6,4,5,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,5,4,6,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,7,8,9,1,2,3,5]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,7,8,9,1,2,3,4,6]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [6,4,5,7,3,8,2,9,1,10]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,7,1,5,3,8,6,4]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,5,7,2,8,4,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,4,3,8,5,1,7,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,2,1,4,8,6,5]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,8,3,4,1,7,6,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,6,8,2,5,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,7,1,4,5,8,3]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,7,2,6,1,5,3,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,3,8,2,6,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,3,4,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,3,4,1,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,8,1,6,7,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,8,3,4,5,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,4,6,8,2,1,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,3,7,2,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,4,6,1,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,8,4,6,1,5,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,3,2,5,1,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,6,4,1,2,5,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,7,1,4,3,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,4,2,5,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,2,3,1,4,6,8,7]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,2,7,1,3,5,8,6]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,4,1,6,2,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,7,2,8,3,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,1,7,6,2,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,6,2,7,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,2,6,5,3,7,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,2,7,1,8,6,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,7,6,5,3,2,8]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,3,6,7,1,8,5,4]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,6,1,2,7,8,5,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,1,8,7,6,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [8,4,5,2,7,6,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,1,3,6,7,5,2,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,4,5,7,6,2,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,1,3,6,8,7,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,5,1,2,4,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,5,1,2,4,3,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,8,4,1,2,3,6,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,5,8,1,4,2,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,5,7,1,4,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,7,5,1,2,3,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,1,2,4,6,3,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,1,4,2,3,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,2,7,8,4,3,5]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,1,2,5,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,8,4,7,5,2,3,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,7,2,1,6,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,2,1,6,7,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,2,5,3,6,1,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,7,5,2,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,4,2,5,3,6,7,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,5,3,6,7,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,7,5,2,6,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,6,3,7,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,5,3,6,8,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,3,6,7,2,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,2,4,7,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,7,5,4,6,8,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,8,2,5,6,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,5,4,6,7,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,1,3,2,6,4,8,9]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [9,6,1,3,4,2,7,8,5]=>11001001=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [8,3,6,1,4,2,7,5,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,8,1,7,2,3,4,5,6]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,3,4,7,1,5,2,8,6]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [7,5,1,3,2,6,4,8,9,10]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [9,6,1,3,4,2,7,8,5,10]=>110010010=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [8,3,6,1,4,2,7,5,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,1,8,3,2,5,7,4,9,6]=>101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [10,3,7,1,4,5,2,8,9,6]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [9,3,4,7,1,5,2,8,6,10]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [7,10,1,3,8,2,6,5,9,4]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [10,9,5,1,8,2,4,3,6,7]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,3,4,5,8,1,6,2,9,7]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [4,5,2,6,1,8,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,1,8,6,7,3,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,3,2,4,1,5,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,4,8,2,1,3,6,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,4,8,3,2,6,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,8,4,2,7,5,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,8,3,1,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,1,3,2,7,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [9,8,7,5,6,4,3,2,10,1]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [8,7,5,4,6,3,2,9,1]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [8,7,4,6,5,3,2,9,1]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,4,7,8,9,6,5,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [2,3,6,7,8,9,5,4,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [2,5,6,7,8,9,4,3,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [2,3,4,5,6,1,9,8,7]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [2,3,4,5,1,9,8,7,6]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [2,3,4,5,6,9,10,8,7,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [2,3,4,1,8,9,7,6,5]=>00100111=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [2,3,4,5,8,9,10,7,6,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [2,3,1,7,8,9,6,5,4]=>01000111=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [2,3,4,7,8,9,10,6,5,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [2,1,6,7,8,9,5,4,3]=>10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [2,3,6,7,8,9,10,5,4,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [2,5,6,7,8,9,10,4,3,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [9,10,2,4,6,8,1,3,5,7]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,2,4,6,10,1,3,5,9]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [9,7,10,2,4,6,8,1,3,5]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [8,9,10,7,2,4,6,1,3,5]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [5,6,2,4,8,10,1,3,7,9]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [5,6,9,10,2,4,8,1,3,7]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,5,8,2,4,6,10,1,3,9]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [7,9,5,10,2,4,6,8,1,3]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [5,8,9,10,7,2,4,6,1,3]=>000110010=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [6,7,8,5,2,4,10,1,3,9]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [9,6,7,5,10,2,4,8,1,3]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,9,6,10,5,7,2,4,1,3]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,8,9,10,6,5,2,4,1,3]=>000111010=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [3,4,2,6,8,10,1,5,7,9]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [3,4,9,10,2,6,8,1,5,7]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [3,4,7,8,2,6,10,1,5,9]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [9,3,4,7,10,2,6,8,1,5]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [8,9,10,3,4,7,2,6,1,5]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [5,3,6,2,4,8,10,1,7,9]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [5,3,6,9,10,2,4,8,1,7]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [5,7,3,8,2,4,6,10,1,9]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [5,7,9,3,10,2,4,6,8,1]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [8,5,9,10,3,7,2,4,6,1]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,6,7,8,5,2,4,10,1,9]=>000110010=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [9,3,6,7,5,10,2,4,8,1]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [6,8,3,9,10,5,7,2,4,1]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [7,8,9,10,3,6,5,2,4,1]=>000101101=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [4,5,6,3,2,8,10,1,7,9]=>001100100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [4,5,6,3,9,10,2,8,1,7]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,4,5,3,8,2,6,10,1,9]=>101010010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [7,4,5,9,3,10,2,6,8,1]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,8,5,9,10,3,7,2,6,1]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [6,7,4,8,3,5,2,10,1,9]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,7,9,4,3,5,10,2,8,1]=>001100101=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [8,6,9,4,10,3,5,7,2,1]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [7,4,8,9,10,6,3,5,2,1]=>100011011=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [5,6,7,8,4,3,2,10,1,9]=>000111010=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [9,5,6,7,4,3,10,2,8,1]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [8,9,5,6,4,10,3,7,2,1]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,8,9,5,10,4,6,3,2,1]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [7,6,1,8,2,5,4,3]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,4,1,6,7,3,5,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,8,4,2,1,6,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,6,4,1,2,5,3,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,2,8,1,6,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,6,4,5,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,2,8,4,3,6,1,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,4,8,6,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,8,6,3,5,2,1,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,8,6,3,2,7,1,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,3,2,4,8,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,7,3,2,8,6,4,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,1,6,8,2,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,4,5,6,8,10,9,3,7]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [1,2,3,5,7,8,10,6,9,4]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,2,4,5,7,8,10,3,9,6]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,2,4,6,7,5,10,8,3,9]=>000010110=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [1,3,4,2,7,8,10,5,9,6]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [1,3,4,6,7,2,10,8,5,9]=>000010110=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [1,2,3,5,6,9,8,10,7,4]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,2,4,5,6,9,8,10,3,7]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [1,2,3,5,7,9,6,10,8,4]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,2,4,5,7,9,3,10,8,6]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,2,4,6,5,9,7,10,3,8]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,3,4,2,7,9,5,10,8,6]=>001001011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [1,3,4,6,2,9,7,10,5,8]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,2,3,5,8,7,9,6,10,4]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,4,5,8,7,9,3,10,6]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,4,6,8,5,9,3,10,7]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,4,7,6,8,5,9,3,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,3,4,2,8,7,9,5,10,6]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,3,4,6,8,2,9,5,10,7]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,3,4,7,6,8,2,9,5,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,2,3,6,5,9,7,10,8,4]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,4,6,3,9,7,10,8,5]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,5,4,6,9,7,10,3,8]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [1,3,2,6,4,9,7,10,8,5]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,3,5,2,6,9,7,10,4,8]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [1,2,3,6,8,5,9,7,10,4]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,4,6,8,3,9,7,10,5]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,5,4,8,6,9,3,10,7]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,2,5,7,4,8,6,9,3,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,3,2,6,8,4,9,7,10,5]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,3,5,2,8,6,9,4,10,7]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,3,5,7,2,8,6,9,4,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,4,3,5,8,2,9,6,10,7]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,4,3,7,5,8,2,9,6,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,3,6,4,9,7,10,8,5]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [2,1,5,3,6,9,7,10,4,8]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,3,6,8,4,9,7,10,5]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,5,3,8,6,9,4,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,5,7,3,8,6,9,4,10]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,4,1,5,8,3,9,6,10,7]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,4,1,7,5,8,3,9,6,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [1,6,3,7,2,4,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,9,7,6,5,4,3,1,2]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,6,7,5,4,3,2,1,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,7,9,6,5,4,3,1,2]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,7,8,6,5,4,3,1,2]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,3,7,1,6,2,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,6,7,2,5,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,1,5,7,2,4,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,7,5,4,3,6,9,2,1]=>11110011=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [8,7,6,9,5,3,4,2,1]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [8,7,9,6,5,4,2,3,1]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [5,2,1,4,8,6,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,2,1,3,7,6,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,4,1,6,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,2,8,4,1,6,5,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,4,1,5,8,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,8,4,2,3,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,6,4,5,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,8,1,7,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,8,1,5,7,4,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,8,3,1,6,7,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,6,8,2,1,7,3]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,5,6,8,1,3,7,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,8,3,2,1,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,5,1,3,2,6,7,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,3,2,1,6,5,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,8,3,5,1,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,3,5,6,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,3,2,1,6,7,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,2,8,1,4,6,7,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,3,7,8,1,4,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,1,4,3,6,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,2,3,7,1,5,4,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,1,5,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,1,3,4,5,2,7,8]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,1,3,4,5,6,2,8]=>1000010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [7,2,5,1,3,6,4,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,2,7,8,4,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,5,3,6,4,2,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,3,6,7,5,2,4,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,5,2,6,8,7,3,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,1,5,6,7,8,9,4]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [3,2,6,1,4,7,8,9,5]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [4,3,2,1,6,7,8,9,5]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [3,2,7,8,1,4,5,9,6]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,7,2,5,1,3,8,9,6]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [4,3,2,7,1,5,8,9,6]=>11010001=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [5,4,3,2,1,7,8,9,6]=>11110001=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [4,3,2,8,9,1,5,6,7]=>11001000=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [8,5,6,3,4,1,2,9,7]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,3,8,2,6,1,4,9,7]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,4,3,2,8,1,6,9,7]=>11101001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [6,5,4,3,2,1,8,9,7]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [6,9,4,7,2,5,1,3,8]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [6,4,3,9,2,7,1,5,8]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [6,5,4,3,2,9,1,7,8]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [5,6,1,2,3,7,8,9,10,4]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,5,1,3,6,7,8,9,10,4]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [3,2,1,5,6,7,8,9,10,4]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [6,7,8,1,2,3,4,9,10,5]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [2,6,7,1,3,4,8,9,10,5]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [6,3,4,1,2,7,8,9,10,5]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [3,2,6,1,4,7,8,9,10,5]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [4,3,2,1,6,7,8,9,10,5]=>111000001=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [2,7,8,9,1,3,4,5,10,6]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [7,3,4,8,1,2,5,9,10,6]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [3,2,7,8,1,4,5,9,10,6]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [4,7,2,5,1,3,8,9,10,6]=>010100001=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [4,3,2,7,1,5,8,9,10,6]=>110100001=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [5,4,3,2,1,7,8,9,10,6]=>111100001=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [8,3,4,9,10,1,2,5,6,7]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,9,4,5,6,1,2,3,10,7]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [4,3,2,8,9,1,5,6,10,7]=>110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [8,5,6,3,4,1,2,9,10,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [5,3,8,2,6,1,4,9,10,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [5,4,3,2,8,1,6,9,10,7]=>111010001=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [6,5,4,3,2,1,8,9,10,7]=>111110001=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32) [5,9,10,2,6,7,1,3,4,8]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [9,5,6,3,4,10,1,2,7,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,3,9,2,6,10,1,4,7,8]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [5,4,3,2,9,10,1,6,7,8]=>111001000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [6,9,4,7,2,5,1,3,10,8]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [6,4,3,9,2,7,1,5,10,8]=>110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [6,5,4,3,2,9,1,7,10,8]=>111101001=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [7,6,5,4,3,2,1,9,10,8]=>111111001=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [10,7,8,5,6,3,4,1,2,9]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,5,10,3,8,2,6,1,4,9]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,5,4,3,10,2,8,1,6,9]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [7,6,5,4,3,2,10,1,8,9]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [5,3,4,7,2,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,9,5,4,3,2,1,8]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,8,5,7,1,2,3,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,2,3,7,6,1,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,6,3,1,5,7,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,1,8,7,4,3,6,5,10,9]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,6,3,2,5,8,7,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,4,3,2,6,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,5,7,4,8,6,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,1,5,7,3,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,7,8,6,4,3,5]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,5,1,7,8,6,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,4,1,7,6,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,1,4,3,6,5,7,9,10,8]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,4,3,5,7,8,6,10,9]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [2,1,4,3,5,7,6,9,10,8]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [2,1,4,3,5,6,8,9,10,7]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [2,1,3,5,6,4,8,7,10,9]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,3,5,6,4,7,9,10,8]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [2,1,3,5,4,7,8,6,10,9]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [2,1,3,5,4,7,6,9,10,8]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,3,5,4,6,8,9,10,7]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [2,1,3,4,6,7,8,5,10,9]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [2,1,3,4,6,7,5,9,10,8]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [2,1,3,4,6,5,8,9,10,7]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [2,1,3,4,5,7,8,9,10,6]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,3,4,2,6,5,7,9,10,8]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [1,3,4,2,5,7,8,6,10,9]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [1,3,4,2,5,7,6,9,10,8]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [1,3,4,2,5,6,8,9,10,7]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [1,3,2,5,6,4,8,7,10,9]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,3,2,5,6,4,7,9,10,8]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [1,3,2,5,4,7,8,6,10,9]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,3,2,5,4,7,6,9,10,8]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [1,3,2,5,4,6,8,9,10,7]=>010100001=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [1,3,2,4,6,7,8,5,10,9]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [1,3,2,4,6,7,5,9,10,8]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [1,3,2,4,6,5,8,9,10,7]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [1,3,2,4,5,7,8,9,10,6]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [1,2,4,5,6,3,8,7,10,9]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,4,5,6,3,7,9,10,8]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [1,2,4,5,3,7,8,6,10,9]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,2,4,5,3,7,6,9,10,8]=>000101001=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [1,2,4,5,3,6,8,9,10,7]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [1,2,4,3,6,7,8,5,10,9]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [1,2,4,3,6,7,5,9,10,8]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [1,2,4,3,6,5,8,9,10,7]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [1,2,4,3,5,7,8,9,10,6]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [1,2,3,5,6,7,8,4,10,9]=>000000101=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [1,2,3,5,6,7,4,9,10,8]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,2,3,5,6,4,8,9,10,7]=>000010001=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [1,2,3,5,4,7,8,9,10,6]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,3,4,9,6,7,8,5,1]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [2,3,9,5,6,7,8,4,1]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [2,9,4,5,6,7,8,3,1]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,3,4,5,6,7,8,2,1]=>10000011=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [2,3,4,5,6,10,8,9,7,1]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [2,3,4,1,9,7,8,6,5]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [2,3,4,5,10,7,8,9,6,1]=>000010011=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [2,3,1,9,6,7,8,5,4]=>01010011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [2,3,4,10,6,7,8,9,5,1]=>000100011=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [2,1,9,5,6,7,8,4,3]=>10100011=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [2,3,10,5,6,7,8,9,4,1]=>001000011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [1,9,4,5,6,7,8,3,2]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [2,10,4,5,6,7,8,9,3,1]=>010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [10,3,4,5,6,7,8,9,2,1]=>100000011=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [5,6,4,7,3,9,1,8,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,6,4,9,1,8,2,7,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,9,1,8,2,7,3,6,4]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,1,8,2,7,3,6,4,5]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,4,3,8,1,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,4,9,1,8,2,7,3,6]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,4,6,3,9,1,8,2,7]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,4,6,3,7,2,9,1,8]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,5,7,4,8,3,10,1,9,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,6,4,8,2,9,1,7,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,5,7,4,10,1,9,2,8,3]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,7,3,9,1,8,2,6,4]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [6,5,10,1,9,2,8,3,7,4]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,4,9,1,8,2,7,3,5]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,5,9,1,8,2,7,3,6]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [5,10,1,9,2,8,3,7,4,6]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [6,4,5,3,9,1,8,2,7]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,6,4,10,1,9,2,8,3,7]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,4,7,3,6,2,9,1,8]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,6,4,7,3,10,1,9,2,8]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,6,4,7,3,8,2,10,1,9]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,3,1,5,6,8,4,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,10,1,3,4,5,6,9,7,8]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [2,9,1,3,4,5,6,7,10,8]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [12,1,2,3,4,5,6,7,8,11,9,10]=>10000000010=>([(0,8),(0,9),(1,3),(1,13),(1,27),(2,22),(2,31),(3,6),(3,21),(3,30),(4,5),(4,24),(4,33),(5,7),(5,23),(5,32),(6,4),(6,26),(6,35),(7,2),(7,25),(7,34),(8,28),(8,29),(9,1),(9,28),(9,29),(11,17),(12,11),(13,21),(14,16),(15,14),(16,18),(17,15),(18,19),(19,10),(20,10),(21,26),(22,20),(23,25),(24,23),(25,22),(26,24),(27,11),(27,30),(28,12),(28,13),(29,12),(29,27),(30,17),(30,35),(31,19),(31,20),(32,16),(32,34),(33,14),(33,32),(34,18),(34,31),(35,15),(35,33)],36) [10,3,1,2,4,5,6,9,7,8]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [3,1,10,2,4,5,6,9,7,8]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [9,3,1,2,4,5,6,7,10,8]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [3,1,9,2,4,5,6,7,10,8]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [7,2,3,1,6,8,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,2,5,6,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,1,6,2,3,4]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,4,2,7,3,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,2,5,8,6,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,3,2,1,8,9,7,6,5]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [4,8,2,1,5,7,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,7,1,6,3,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,2,5,1,6,3,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,1,2,4,6,3,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,7,3,6,4,2,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,7,5,6,1,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,2,7,1,6,4,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,1,7,5,4,2,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,8,3,4,5,6,7,1,2]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,8,2,3,4,5,6,1,7]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [6,2,8,7,3,4,5,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [9,4,5,6,7,8,2,1,3]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [9,3,4,5,6,7,2,1,8]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [10,9,3,4,5,6,7,8,1,2]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [10,9,2,3,4,5,6,7,1,8]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [7,2,9,8,3,4,5,6,1]=>10110001=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [9,8,2,3,4,5,1,6,7]=>11000100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [7,3,4,8,5,6,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [9,5,6,7,8,2,1,3,4]=>10001100=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [7,3,6,8,4,5,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,3,9,4,5,6,7,2,1]=>10100011=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [10,4,5,6,7,8,9,2,1,3]=>100000110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [9,3,4,5,6,2,1,7,8]=>10001100=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [10,3,4,5,6,7,8,2,1,9]=>100000110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [5,6,2,8,3,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,7,5,6,2,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,4,8,3,5,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,1,4,8,6,2,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,2,4,8,3,1,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,5,1,8,6,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,5,7,6,3,2,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,6,7,5,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,8,3,1,6,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,5,3,7,6,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,7,3,5,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,4,2,3,5,7,8]=>1010000=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,1,4,3,8,6,5,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,1,5,7,2,8,3,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,2,6,7,4,3,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,2,7,3,8,4,9,5]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,8,5,2,9,6,3,10,7,4]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,2,4,1,8,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,2,6,1,8,3,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,3,5,2,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,3,2,1,6,8,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,8,1,3,4,2,5,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,1,4,7,8,2,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,5,7,1,3,6,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,7,2,5,3,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,3,1,2,6,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,1,3,8,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,5,3,2,7,6,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,3,5,1,4,2,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,2,1,7,4,3,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,4,3,6,7,1,5,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,2,1,6,4,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,6,5,2,1,3,7,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,5,6,1,4,3,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,1,5,3,7,2,4,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,5,4,1,7,2,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [10,9,3,8,7,6,5,4,2,1]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,7,6,4,5,3,2,1,10,9]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,9,8,6,5,4,7,3,2,1]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [6,7,1,9,2,3,4,5,8]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [6,1,8,9,2,3,4,5,7]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [8,1,9,10,2,3,4,5,6,7]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [6,8,7,5,4,2,1,3]=>0111110=>([(0,5),(0,6),(1,4),(1,8),(1,9),(2,16),(2,17),(3,2),(3,12),(3,13),(4,3),(4,14),(4,15),(5,10),(5,11),(6,1),(6,10),(6,11),(8,15),(9,14),(10,9),(11,8),(12,16),(13,17),(14,12),(15,13),(16,7),(17,7)],18) [1,6,8,7,3,2,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,7,5,4,6,1,3,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,8,2,4,6,3,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,5,4,8,1,3,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,1,8,4,3,7,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,6,7,5,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,7,5,1,6,8,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,4,2,7,3,6,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,8,6,1,2,4,5,7]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,8,5,3,2,7,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,8,4,7,2,3,5,6]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,2,8,1,7,5,4,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,5,6,2,1,7,8,9]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [3,4,5,2,1,6,7,8,9]=>00110000=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [7,1,5,6,2,3,4,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,5,1,7,2,3,4,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [1,6,8,2,7,3,4,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,6,8,7,3,4,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,6,7,8,5,2]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [7,4,1,5,6,8,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [4,1,2,6,7,8,5,3]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,5,8,9,1,2,6,7]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [3,4,7,8,9,1,2,5,6]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [3,6,7,8,9,1,2,4,5]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [3,4,5,6,1,7,2,8,9]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [3,4,5,1,6,2,7,8,9]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [3,4,5,6,7,10,1,2,8,9]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [3,4,1,5,9,2,6,7,8]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [3,4,5,6,9,10,1,2,7,8]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [3,4,5,8,9,10,1,2,6,7]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,3,7,8,9,2,4,5,6]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [3,4,7,8,9,10,1,2,5,6]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [2,6,7,8,9,1,3,4,5]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [3,6,7,8,9,10,1,2,4,5]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [6,3,7,1,8,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,7,8,1,5,2,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,4,3,6,5,10,7,9,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,4,3,8,5,7,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,4,3,10,9,7,5,6,8]=>101011100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,1,4,3,10,5,6,8,9,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,6,3,5,4,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,6,3,5,4,10,7,9,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,1,8,7,5,3,4,6,10,9]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [2,1,10,7,5,9,4,3,6,8]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [2,1,10,8,5,3,6,4,9,7]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [2,1,8,3,4,6,7,5,10,9]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [2,1,10,9,4,6,7,3,5,8]=>101100100=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [2,1,10,3,9,6,4,8,5,7]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,1,10,3,4,5,7,8,9,6]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [4,1,3,2,6,5,8,7,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,3,2,6,5,10,7,9,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,3,2,8,5,7,6,10,9]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,3,2,10,9,7,5,6,8]=>101011100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [4,1,3,2,10,5,6,8,9,7]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [6,5,3,1,2,4,10,7,9,8]=>111000101=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [8,5,3,7,2,1,4,6,10,9]=>110110001=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [10,5,3,7,2,9,4,1,6,8]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [10,5,3,8,2,1,6,4,9,7]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,6,3,1,4,2,7,5,10,9]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [10,6,3,9,4,2,7,1,5,8]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,6,3,1,9,2,4,8,5,7]=>111010010=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [10,7,3,1,4,5,2,8,9,6]=>111001001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [6,1,2,4,5,3,8,7,10,9]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [6,1,2,4,5,3,10,7,9,8]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [8,7,2,4,5,1,3,6,10,9]=>110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [10,7,2,4,5,9,3,1,6,8]=>110001100=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,8),(20,16),(21,7),(21,8),(22,15),(22,17),(23,7),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,20),(28,21),(29,19),(29,20),(30,21),(30,23),(31,19),(31,22)],32) [10,8,2,4,5,1,6,3,9,7]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [8,1,7,4,2,6,3,5,10,9]=>101101001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [10,9,7,4,2,6,3,1,5,8]=>111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [10,1,8,4,9,6,2,3,5,7]=>101011000=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [10,1,8,4,2,5,7,3,9,6]=>101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,1,2,3,5,6,7,4,10,9]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [10,9,2,3,5,6,7,1,4,8]=>110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [10,1,9,3,5,6,2,8,4,7]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,2,9,5,3,7,8,4,6]=>100110010=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [12,5,3,7,2,9,4,11,6,1,8,10]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,5,3,8,2,11,6,4,9,1,7,10]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [12,7,3,11,4,5,2,8,9,1,6,10]=>11010100100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [1,5,4,7,8,3,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,4,7,8,3,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,1,5,6,2,3,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,4,1,7,3,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,8,2,5,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,8,5,4,2,1,6]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,7,4,5,6,8,3,2]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,4,5,6,8,3,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [2,7,4,5,6,8,3,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,4,7,8,3,1,6,5]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,4,3,6,8,1,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,4,5,8,1,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,5,6,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,6,5,8,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,6,1,7,3,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,3,6,4,2,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,7,3,5,1,2,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,2,3,5,8,7]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,3,5,2,1,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [10,9,7,6,5,4,3,8,2,1]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,6,8,4,7,5,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,7,3,1,5,2,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,7,1,6,8,2,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,5,8,2,3,7,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,8,2,4,5,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,8,2,3,4,1,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,2,3,8,7,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,7,1,3,2,6,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,6,4,8,3,1,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,3,7,5,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,1,2,3,8,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,3,5,2,6,1,7,8,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,5,3,6,2,7,1,8,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [3,2,4,1,5,6,7,8,9,10]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [3,4,2,5,1,6,7,8,9,10]=>010100000=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [4,3,5,2,6,1,7,8,9,10]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [4,5,3,6,2,7,1,8,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [5,4,6,3,7,2,8,1,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [8,6,2,1,3,7,4,5]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,2,3,6,8,5,7,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,7,3,2,6,5,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,3,7,8,2,1,6,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,7,2,1,5,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,8,2,5,1,6,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,3,8,6,1,2,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,8,4,1,2,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,8,4,5,1,2,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,8,7,5,1,2,6,3]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,8,4,6,1,3,5,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,7,5,1,3,6,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,3,6,8,1,2,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,6,2,1,4,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,6,3,1,2,5,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,6,4,1,5,2,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,2,8,4,7,1,3,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,1,2,8,6,5,4]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,1,3,2,4,5,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,3,6,5,7,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,3,5,7,2,8,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,8,2,4,6,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,1,4,5,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,2,7,3,6,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,5,8,6,7,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,2,1,4,5,7,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,1,4,3,6,5,10,7,8,9]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,1,4,3,8,5,6,7,10,9]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,1,4,3,10,9,6,5,8,7]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [2,1,4,3,10,5,6,7,8,9]=>101010000=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,1,6,3,4,5,8,7,10,9]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [2,1,6,3,4,5,10,7,8,9]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [2,1,10,7,4,9,6,3,8,5]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,1,10,9,4,3,6,7,8,5]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [2,1,8,3,4,5,6,7,10,9]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [2,1,10,9,4,5,6,3,8,7]=>101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [2,1,10,3,8,5,4,7,6,9]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,1,2,3,6,5,10,7,8,9]=>100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [4,1,2,3,8,5,6,7,10,9]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [4,1,2,3,10,9,6,5,8,7]=>100011101=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [6,5,2,1,4,3,8,7,10,9]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,5,2,1,4,3,10,7,8,9]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [8,5,2,7,4,1,6,3,10,9]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [10,5,2,7,4,9,6,1,8,3]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,5,2,9,4,1,6,7,8,3]=>110110001=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [8,7,2,1,4,5,6,3,10,9]=>111000101=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [10,7,2,9,4,5,6,1,8,3]=>110100101=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [10,9,2,1,8,5,4,7,6,3]=>111011011=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [10,9,2,1,4,5,6,7,8,3]=>111000001=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [6,1,2,3,4,5,8,7,10,9]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [8,7,2,3,4,1,6,5,10,9]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [10,7,2,3,4,9,6,1,8,5]=>110001101=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [10,9,2,3,4,1,6,7,8,5]=>110010001=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [8,1,6,3,2,5,4,7,10,9]=>101101001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [10,9,6,3,2,5,4,1,8,7]=>111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [10,1,6,3,8,5,2,7,4,9]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,8,3,2,5,6,7,4,9]=>101100010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [10,9,2,3,4,5,6,1,8,7]=>110000101=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34) [10,1,8,3,4,5,2,7,6,9]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,1,2,7,4,3,6,5,8,9]=>100110100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [2,1,4,3,6,5,8,7,12,9,10,11]=>10101010100=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [6,5,2,1,4,3,8,7,12,9,10,11]=>11101010100=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42) [8,5,2,7,4,1,6,3,12,9,10,11]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [8,7,2,3,4,1,6,5,12,9,10,11]=>11001010100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,1,2,3,4,5,6,7,8,9,10,11]=>10000000000=>([(0,2),(0,11),(1,13),(2,12),(3,4),(3,15),(4,6),(4,14),(5,3),(5,17),(6,8),(6,16),(7,5),(7,19),(8,10),(8,18),(9,7),(9,21),(10,1),(10,20),(11,9),(11,12),(12,21),(14,16),(15,14),(16,18),(17,15),(18,20),(19,17),(20,13),(21,19)],22) [1,5,4,8,7,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,1,2,6,5,7,8]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,1,4,5,8,3,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,5,8,1,2,4,6,3]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,1,5,2,8,7,4,3]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,6,3,1,2,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,8,6,4,1,5,7,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,1,4,5,2,3,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,8,6,4,5,1,7,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,6,4,5,1,2,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,6,3,1,2,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,2,5,7,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,6,3,5,7,1,2,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,3,5,8,6,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,3,5,7,1,6,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,5,6,1,2,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,2,5,6,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,2,5,6,7,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,7,2,6,5,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,2,6,4,8,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,4,6,1,8,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,7,8,3,5,4,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,6,2,8,5,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,2,7,8,3,4,6,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,8,3,4,2,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,1,7,8,6,5,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,4,8,6,5,7,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,1,3,4,8,2,7,6]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,7,3,6,1,4,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,8,3,4,7,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,2,1,5,6,4,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,5,6,1,3,4,8,2]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,2,4,6,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,5,6,3,8,7,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,7,5,8,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,4,5,3,8,1,7,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,5,4,3,8,6,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,5,3,1,2,6,7,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,2,5,1,3,6,8,4]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,4,7,3,1,2,6,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,3,5,2,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,8,3,6,5,7,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,8,2,6,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,7,8,5,2,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,7,2,1,8,6,5,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,6,2,8,4,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,7,2,4,8,6,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,2,4,8,5,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,2,8,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,3,1,8,6,5,4]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,2,8,3,5,6,1,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,3,8,4,6,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,3,4,8,5,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,8,5,4,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,8,4,5,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,4,3,1,7,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,7,3,4,8,2,5,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,8,3,4,6,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,8,4,2,5,7,6]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,7,6,2,3,8,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,8,4,6,7,2,3,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,2,3,7,8,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,7,1,6,4,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,9,7,5,3,10,8,6,4]=>001110111=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [7,4,5,8,1,3,6,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,3,6,2,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,4,6,3,2,5,8,7]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,6,5,8,2,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,6,3,2,8,5,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,4,1,5,7,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,6,7,4,1,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,6,4,1,7,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,3,1,6,4,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,2,6,3,1,7,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,1,6,3,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,4,6,2,5,7,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,5,8,1,6,2,7,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,6,8,1,4,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,7,3,8,2,1,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,5,6,7,8,10,3,9]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [2,7,3,5,4,1,8,6]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,7,4,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,4,8,5,3,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,7,3,8,4,1,6,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,1,5,4,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,3,4,7,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,3,8,1,4,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,1,3,6,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,6,5,2,8,3,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,3,8,5,7,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,3,7,2,8,6,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,3,1,7,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,3,1,8,5,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,7,2,5,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,3,2,8,7,4,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,1,7,5,4,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,3,1,5,7,2,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,3,1,2,5,6,4]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,3,5,7,2,8,4,9,6]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,3,5,6,2,7,4,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,3,4,5,2,7,6,9,8]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [3,5,7,1,2,4,6,9,8]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,3,5,7,2,9,4,6,8,10]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [3,5,7,8,1,9,2,4,6]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [1,3,5,7,2,9,4,10,6,8]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [3,5,6,7,1,8,2,9,4]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,3,5,7,2,8,4,9,6,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,3,5,6,2,7,4,9,8,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,3,4,5,2,7,6,9,8,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [5,4,3,6,1,7,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,7,8,5,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,2,1,7,5,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,2,6,4,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,2,3,4,9,6,8,5]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [7,1,2,3,4,8,6,9,5]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [8,1,2,3,9,5,6,7,4]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [7,1,2,3,9,5,6,8,4]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [7,1,2,3,8,5,6,9,4]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,1,2,3,8,5,9,7,4]=>10001011=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [6,1,2,3,7,5,8,9,4]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,1,2,8,4,5,9,7,3]=>10010011=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [6,1,2,7,4,5,8,9,3]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [5,1,2,7,4,9,6,8,3]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,1,2,7,4,8,6,9,3]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,1,2,6,4,7,8,9,3]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [4,1,6,3,8,5,9,7,2]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,1,6,3,7,5,8,9,2]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,1,5,3,6,7,8,9,2]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,1,2,3,4,5,7,8,9,6]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [8,1,2,3,4,5,10,7,9,6]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [8,1,2,3,4,5,9,7,10,6]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [9,1,2,3,4,10,6,7,8,5]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [8,1,2,3,4,10,6,7,9,5]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [8,1,2,3,4,9,6,7,10,5]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [7,1,2,3,4,9,6,10,8,5]=>100001011=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [7,1,2,3,4,8,6,9,10,5]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [8,1,2,3,10,5,6,7,9,4]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [8,1,2,3,9,5,6,7,10,4]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [7,1,2,3,10,5,6,8,9,4]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [7,1,2,3,8,5,6,9,10,4]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [6,1,2,3,8,5,10,7,9,4]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [6,1,2,3,8,5,9,7,10,4]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [6,1,2,3,7,5,8,9,10,4]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [6,1,2,9,4,5,10,7,8,3]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [6,1,2,8,4,5,10,7,9,3]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [6,1,2,8,4,5,9,7,10,3]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [6,1,2,7,4,5,8,9,10,3]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [5,1,2,7,4,9,6,10,8,3]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [5,1,2,7,4,8,6,9,10,3]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,1,2,6,4,7,8,9,10,3]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [4,1,6,3,8,5,9,7,10,2]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,1,6,3,7,5,8,9,10,2]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [4,1,5,3,6,7,8,9,10,2]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [1,9,8,7,6,4,3,2,5]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,9,8,7,5,4,3,2,6]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,9,8,6,5,4,3,2,7]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,9,7,6,5,4,3,2,8]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [1,9,8,7,6,5,2,3,4]=>01111100=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [1,10,9,8,7,6,5,3,2,4]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,9,8,7,6,3,4,2,5]=>01111010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,10,9,8,7,6,4,3,2,5]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,9,8,7,4,5,3,2,6]=>01110110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [1,10,9,8,7,5,4,3,2,6]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,9,8,5,6,4,3,2,7]=>01101110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [1,10,9,8,6,5,4,3,2,7]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,8,4,5,6,3,2,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,9,6,7,5,4,3,2,8]=>01011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,10,9,7,6,5,4,3,2,8]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [1,7,8,6,5,4,3,2,9]=>00111110=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [1,10,8,7,6,5,4,3,2,9]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [8,5,1,7,4,6,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,8,1,6,7,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,7,8,4,1,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,3,7,8,4,6,1,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,7,8,4,6,2,5]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [3,1,7,8,4,6,2,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,8,1,6,7,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,7,3,6,1,2,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,4,3,7,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,8,3,7,5,2,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,4,8,3,6,7,1,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,5,8,7,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,4,8,7,2,1,3]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,2,6,8,3,5,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,8,6,5,3,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,3,7,6,1,2,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,4,7,1,3,6,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,9,2,3,4,5,6,1,7]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [7,8,9,2,3,4,5,1,6]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [6,7,8,9,2,3,4,1,5]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [5,6,7,8,9,2,3,1,4]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,10,2,3,4,5,6,7,1,8]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [8,9,10,2,3,4,5,6,1,7]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [7,8,9,2,3,4,1,5,6]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,8,9,10,2,3,4,5,1,6]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [6,7,8,9,2,3,1,4,5]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [5,6,7,8,9,10,2,3,1,4]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [4,5,6,7,8,1,9,2,3]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,5,6,7,8,9,10,2,1,3]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [6,8,3,4,5,2,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,7,1,4,5,6,2,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,9,3,4,5,6,2,1,8]=>01000110=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28) [3,9,2,1,5,6,7,8,4]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [3,6,1,4,5,2,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,8,1,4,5,6,7,2,9]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [8,10,3,4,5,6,7,2,1,9]=>010000110=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34) [6,9,3,4,5,2,7,1,8]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,8,2,4,5,1,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,9,2,4,1,6,7,8,5]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [3,7,2,1,5,6,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,8,1,5,4,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,8,9,1,5,6,7,4,2]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [3,10,2,1,5,6,7,8,9,4]=>011000001=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [3,7,1,4,5,6,2,8,9]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [3,9,1,4,5,6,7,8,2,10]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [1,7,4,6,3,5,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,3,6,5,7,2,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,2,5,6,4,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,8,5,4,3,7,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,5,7,8,4,3,1,6]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [6,8,5,3,2,4,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,8,5,3,2,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,1,8,7,5,3,2]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,3,7,6,8,5,2,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,7,8,6,5,2,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,3,7,6,1,2,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,7,6,1,2,3,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,5,2,6,7,8,1,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,8,7,6,5,4,3,1,9]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [2,1,4,9,8,7,6,5,3]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,7,6,5,4,2,1,9,8]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,2,1,6,9,8,7,5,4]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [4,6,5,3,2,1,9,8,7]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,7,6,2,3,8,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,1,3,7,6,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,3,8,6,4,5,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,4,3,8,6,2,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,3,7,5,8,4,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,8,1,5,3,4,6,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,3,5,4,1,6,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,5,7,1,6,4,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,7,5,6,1,4,2,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,6,3,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,1,2,7,8,4,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,3,7,8,2,6,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,1,2,7,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,6,7,4,5,3,2,8]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,2,6,7,5,3,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,2,4,6,5,3,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,2,1,6,4,3,8,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,8,7,2,3,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,6,5,8,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,1,5,8,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,6,5,2,7,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,6,2,7,4,3,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,6,4,1,8,5,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,4,1,8,3,7,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,5,8,7,3,6,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,5,4,1,7,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,9,8,7,6,1,5,4,3]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,8,7,2,1,5,4,3]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,9,8,7,6,5,2,1,3]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [5,9,8,7,6,2,1,4,3]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,10,9,8,7,6,1,5,4,3]=>011111011=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [6,9,8,7,2,1,5,4,3]=>01111011=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,9,8,2,1,6,5,4,3]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,10,9,8,1,7,6,5,4,3]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,9,2,1,7,6,5,4,3]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,10,9,1,8,7,6,5,4,3]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [8,1,6,3,7,5,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,1,3,7,6,4,2]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,3,6,5,4,2,1,7]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [6,1,3,5,7,2,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,7,5,8,4,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,1,6,5,2,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,4,2,8,6,5,3,1]=>1101111=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [6,8,4,7,3,2,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,3,2,1,6,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,8,7,2,6,4,3,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [6,8,7,3,5,1,4,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,5,6,8,3,4,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,5,7,8,3,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,7,2,3,5,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,4,8,6,7,3,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,2,7,3,1,6,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,6,4,2,1,8,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,8,5,2,7,3,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,4,3,1,8,5,2,7]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,3,1,5,8,6,2]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,8,6,5,3,1,2]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,8,5,2,6,7,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,3,2,1,8,5,6,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,8,1,9,2,3,4,5,6]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [6,7,8,1,9,2,3,4,5]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [5,6,7,8,1,9,2,3,4]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [9,1,2,3,4,5,7,6,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,3,4,5,9,6,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,5,7,2,4,3,8,6]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,7,5,8,4,3,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,3,8,2,7,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,3,2,8,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,6,3,2,8,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,2,3,6,5,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,1,2,6,4,3,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,7,8,3,2,5,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,7,1,3,2,4,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,3,2,4,7,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,2,7,6,3,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,3,2,7,4,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,1,7,6,3,4,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,8,4,3,5,1,2,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,3,5,4,1,2,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,3,8,5,7,2,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,3,6,4,1,2,5]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [5,2,7,4,6,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,3,5,1,4,6]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,3,4,1,8,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,5,2,8,1,4,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,5,3,1,7,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,2,4,3,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,6,2,3,1,4,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,6,2,3,1,5,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,6,1,3,2,8,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,6,5,4,3,1,9,8]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [3,2,1,9,5,8,7,6,4]=>11010111=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [6,3,5,4,2,1,9,8,7]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [4,3,2,1,9,7,8,6,5]=>11101011=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,8,1,3,5,6,4,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,6,3,4,7,8,5,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,6,3,1,8,5,2,4]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,2,1,3,6,8,5,4]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,6,3,8,1,5,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,4,7,8,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,5,8,6,1,3,4]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,1,3,6,2,5,8,7]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,1,4,6,3,2,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,5,8,6,2,3,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,2,3,8,4,1,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,5,2,6,8,7,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [1,2,3,4,5,6,8,9,7,10]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [1,8,3,7,5,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,3,6,5,2,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,8,5,2,6,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,1,5,2,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,4,1,5,2,6,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,1,6,7,5,2,8,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,6,2,4,5,1,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,7,5,2,1,4,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [7,1,4,5,2,6,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,6,2,3,8,7,5]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,7,6,5,2,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,1,5,6,2,7,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,4,5,3,6,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,4,7,3,5,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,4,8,3,2,6,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,5,7,6,3,8,2,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,3,1,7,8,4,5]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,7,8,3,5,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,8,6,7,4,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,1,3,5,2,6,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,7,8,2,5,4,1,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,6,5,8,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,8,6,2,1,5,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,6,3,2,1,7,5]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,1,4,7,6,8,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,4,7,1,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,7,4,6,1,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,5,7,8,6,3,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [3,6,7,1,5,4,8,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,4,7,5,8,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [9,1,2,3,4,8,6,5,7]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [9,1,2,3,8,5,6,4,7]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [8,1,2,9,4,5,6,3,7]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [9,1,8,3,4,5,6,2,7]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [7,1,2,3,4,9,5,8,6]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,1,2,3,4,5,9,7,6,8]=>100000110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [6,1,2,3,8,4,5,9,7]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [10,1,2,3,4,9,6,7,5,8]=>100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [5,1,2,8,3,4,6,9,7]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [9,1,2,3,10,5,6,7,4,8]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [4,1,9,2,3,5,6,8,7]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,1,2,9,4,5,6,7,3,8]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [3,8,1,2,4,5,6,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [10,1,9,3,4,5,6,7,2,8]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [8,2,1,3,4,5,6,9,7]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [8,1,2,3,4,5,10,6,9,7]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [11,1,2,3,4,5,6,10,8,7,9]=>1000000110=>([(0,7),(0,8),(1,17),(1,28),(2,4),(2,16),(2,27),(3,21),(3,35),(4,6),(4,20),(4,36),(5,3),(5,22),(5,34),(6,5),(6,23),(6,33),(7,2),(7,24),(7,25),(8,1),(8,24),(8,25),(10,19),(11,13),(12,14),(13,15),(14,11),(15,18),(16,20),(17,12),(18,9),(19,9),(20,23),(21,10),(22,21),(23,22),(24,16),(24,17),(25,27),(25,28),(26,18),(26,19),(27,32),(27,36),(28,12),(28,32),(29,11),(29,30),(30,13),(30,31),(31,15),(31,26),(32,14),(32,29),(33,30),(33,34),(34,31),(34,35),(35,10),(35,26),(36,29),(36,33)],37) [9,1,2,3,8,5,4,7,6]=>10001101=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [7,1,2,3,4,9,5,6,10,8]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [11,1,2,3,4,5,10,7,8,6,9]=>1000001010=>([(0,5),(0,6),(1,4),(1,8),(1,27),(2,19),(2,33),(3,2),(3,20),(3,34),(4,3),(4,18),(4,32),(5,35),(5,36),(6,1),(6,35),(6,36),(8,18),(9,12),(10,13),(11,17),(12,16),(13,14),(14,15),(15,11),(16,7),(17,7),(18,20),(19,9),(20,19),(21,11),(21,22),(22,16),(22,17),(23,12),(23,22),(24,21),(24,23),(25,24),(25,30),(26,25),(26,29),(27,26),(27,32),(28,10),(28,31),(29,14),(29,30),(30,15),(30,21),(31,13),(31,29),(32,25),(32,34),(33,9),(33,23),(34,24),(34,33),(35,27),(35,28),(35,37),(36,8),(36,28),(36,37),(37,10),(37,26),(37,31)],38) [6,1,2,3,9,4,7,8,5]=>10001001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,1,2,3,9,4,5,7,10,8]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [5,1,2,8,3,6,4,9,7]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [5,1,2,10,3,4,6,7,9,8]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [9,8,2,1,4,5,6,7,3]=>11100001=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [8,1,7,3,2,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,1,8,2,5,3,6,9,7]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,1,9,2,3,5,6,7,10,8]=>101000001=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [3,9,1,4,2,5,6,8,7]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [3,9,1,2,4,5,6,7,10,8]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,2,3,1,4,5,6,9,7]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,2,1,3,4,5,6,7,9,8]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [6,4,7,1,5,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,8,1,3,5,2,7,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,5,2,8,7,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,4,5,7,8,1,9,6]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,3,4,5,2,6,7,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,3,4,5,7,8,6,9,10]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,3,4,5,7,9,1,6,8]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,5,7,8,9,6,10]=>000000010=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [2,3,4,5,1,6,7,9,8]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,5,6,1,7,8,9,2,3]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,1,4,5,3,6,7,8,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,4,5,6,1,7,8,9,10,3]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [1,3,2,5,4,6,7,8,9]=>01010000=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [2,3,5,6,1,7,8,9,10,4]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [4,1,7,2,5,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,2,5,8,6,1,7,4]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,1,7,2,8,6,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,5,3,6,7,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,4,5,9,8,6,7,1]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [2,3,4,9,7,5,8,6,1]=>00011011=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [2,3,9,6,4,7,8,5,1]=>00110011=>([(0,3),(0,4),(1,22),(1,24),(2,21),(2,23),(3,2),(3,16),(3,17),(4,1),(4,16),(4,17),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,8),(12,14),(13,9),(13,14),(14,10),(14,11),(15,12),(15,13),(16,21),(16,22),(17,23),(17,24),(18,6),(18,12),(19,7),(19,13),(20,6),(20,7),(21,15),(21,18),(22,15),(22,19),(23,18),(23,20),(24,19),(24,20)],25) [8,3,5,2,6,7,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,8,6,3,4,7,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,9,5,3,6,7,8,4,1]=>01100011=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [9,4,2,5,6,7,8,3,1]=>11000011=>([(0,5),(0,6),(1,4),(1,25),(1,26),(2,16),(2,17),(3,22),(3,23),(4,3),(4,18),(4,19),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,11),(9,10),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,9),(17,8),(18,10),(18,22),(19,11),(19,23),(20,16),(20,25),(21,17),(21,26),(22,12),(22,24),(23,13),(23,24),(24,14),(24,15),(25,9),(25,18),(26,8),(26,19)],27) [6,4,7,2,5,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,3,6,8,2,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,3,1,5,4,8,7,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,6,2,8,3,5,7,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,1,6,2,8,3,9,5,7]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,1,6,2,7,3,8,5,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,1,3,8,5,4,2,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,8,7,3,5,1,6,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,8,7,1,6,2,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,4,1,6,2,8,7,5]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,6,7,4,3,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,5,1,6,4,3,2,7]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,3,5,2,7,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,4,6,2,1,5,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,2,1,6,4,7,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,7,2,8,5,4,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,7,1,4,8,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,3,2,8,5,1,4,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,7,3,2,8,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,5,2,4,7,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,7,8,6,1,5,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,2,6,3,7,8,5,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,1,3,7,8,5,4,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,7,9,1,4,5,6,2,3]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [7,6,9,1,4,5,2,8,3]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,8,10,1,4,5,6,7,2,3]=>101000010=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [11,10,2,1,4,5,6,7,8,9,3]=>1110000001=>([(0,8),(0,9),(1,2),(1,32),(2,11),(3,7),(3,13),(3,31),(4,22),(4,33),(5,4),(5,23),(5,35),(6,5),(6,24),(6,34),(7,6),(7,21),(7,36),(8,3),(8,14),(8,25),(9,1),(9,14),(9,25),(11,15),(12,20),(13,21),(14,13),(15,17),(16,18),(17,16),(18,19),(19,10),(20,10),(21,24),(22,12),(23,22),(24,23),(25,31),(25,32),(26,19),(26,20),(27,17),(27,30),(28,15),(28,27),(29,18),(29,26),(30,16),(30,29),(31,28),(31,36),(32,11),(32,28),(33,12),(33,26),(34,30),(34,35),(35,29),(35,33),(36,27),(36,34)],37) [2,6,4,7,5,3,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,3,7,2,8,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,1,8,6,2,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,6,1,8,7,2,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,1,6,8,7,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,9,2,4,5,6,7,8,1]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,8,6,1,5,2,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,8,1,5,6,4,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,3,2,1,4,6]=>0111100=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [3,4,7,6,8,2,1,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,1,3,7,5,6,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,7,2,5,6,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,4,7,1,5,8,2,6]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,2,7,1,5,8,3,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,5,2,4,6,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [4,1,2,3,5,6,8,7,9]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,2,4,7,3,5,6,8,9]=>00010000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,1,2,3,4,7,6,8,9]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [2,4,6,3,5,1,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,1,6,2,5,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,8,2,5,7,3,4,6]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,4,6,3,8,5,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,6,3,1,7,2,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,4,6,2,5,1,7,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,7,5,2,3,6,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [1,4,6,5,8,2,3,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,4,8,3,7,6,2,5]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,5,3,7,2,6,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [2,5,7,6,8,3,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,6,7,2,8,5,4]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,5,3,6,8,4,7,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,1,3,8,4,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,4,8,5,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,3,1,6,8,4,5,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,1,4,6,7,3,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [3,4,7,5,6,8,2,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,4,7,8,5,2,6,1]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,2,3,6,5,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,2,4,3,1,5,6,8]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,3,1,4,8,5,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,5,4,8,7,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,4,3,1,7,5,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,8,1,7,5,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,2,8,4,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,7,2,3,6,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,5,1,2,3,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [1,8,7,5,2,6,3,4]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,7,6,3,4,5,8,2]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,7,4,5,6,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,8,7,3,6,4,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,7,5,8,2,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,7,2,3,6,5,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,2,5,6,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,6,5,8,3,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,5,8,2,6,3,4,7]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,8,3,2,7,5,1,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,3,6,8,1,2,5,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,5,7,2,6,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,2,1,3,6,4,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,10,9,2,3,4,5,6,8]=>101100000=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [6,7,9,1,2,3,4,5,10,8]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [2,8,1,9,10,3,4,5,6,7]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [8,7,1,10,2,3,4,5,6,9]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [3,5,6,7,2,4,1,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,7,5,2,3,1,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,6,4,8,3,2,7]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,5,6,4,8,3,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,1,4,7,8,6,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,6,7,2,8,5,4,3]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,3,2,1,7,8,6,4]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,4,3,8,6,1,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,3,7,1,5,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,4,5,3,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,3,2,7,5,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,2,8,6,3,10,9,7,4]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,1,5,2,8,6,3,10,9,7]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [1,7,5,2,8,6,3,10,9,4]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,1,7,5,2,8,3,10,9,6]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [6,4,1,7,5,2,8,3,10,9]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [3,4,1,7,2,8,5,10,9,6]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,6,4,1,7,2,8,5,10,9]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [1,5,2,9,8,6,3,10,7,4]=>010111011=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [4,1,5,2,9,8,6,3,10,7]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [1,7,5,2,9,6,3,10,8,4]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,1,7,5,2,9,3,10,8,6]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,1,9,6,5,2,7,3,10,8]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [3,4,1,7,2,9,5,10,8,6]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,6,1,9,4,2,7,5,10,8]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,8,7,5,2,9,6,3,10,4]=>011101101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [4,1,8,7,5,2,9,3,10,6]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [6,4,1,8,5,2,9,3,10,7]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,6,4,1,8,5,2,9,3,10]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [3,4,1,8,7,2,9,5,10,6]=>010110101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,6,4,1,8,2,9,5,10,7]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [3,7,6,4,1,8,2,9,5,10]=>011101010=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [1,9,6,5,2,7,3,10,8,4]=>011101011=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [6,1,9,4,2,7,3,10,8,5]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,4,1,9,6,2,7,3,10,8]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [9,3,1,6,2,7,4,10,8,5]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [9,5,3,1,6,2,7,4,10,8]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [6,1,8,5,2,9,7,3,10,4]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [6,4,1,8,2,9,7,3,10,5]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,5,4,1,6,2,9,3,10,7]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [5,7,4,1,8,6,2,9,3,10]=>011011010=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [3,6,1,8,2,9,7,4,10,5]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [5,8,3,1,6,2,9,4,10,7]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [5,3,7,1,8,6,2,9,4,10]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,8,1,9,5,2,6,10,7]=>101011001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [7,4,3,5,1,8,2,9,6,10]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [9,6,2,1,3,7,4,10,8,5]=>111001011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [5,9,2,1,6,3,7,4,10,8]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [6,8,2,1,3,9,7,4,10,5]=>011001101=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [8,2,5,1,6,3,9,4,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [2,5,7,1,8,6,3,9,4,10]=>001011010=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [2,4,8,1,9,5,3,6,10,7]=>001011001=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [4,8,7,2,6,1,3,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,5,8,2,1,7,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,4,1,7,3,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,4,3,2,1,7,8,9]=>01111000=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [5,6,4,3,2,1,7,8,9,10]=>011110000=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [4,5,3,2,1,6,7,8,9]=>01110000=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [6,7,5,4,3,2,1,8,9,10]=>011111000=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [6,7,4,3,2,1,5,8,9]=>01111000=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [5,6,4,3,2,7,1,8,9]=>01110100=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [7,5,4,3,1,2,6,8,9]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [6,5,4,3,7,1,2,8,9]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [7,6,5,4,3,1,2,8,9,10,11]=>1111100000=>([(0,9),(0,10),(1,8),(1,28),(2,7),(2,27),(3,18),(4,19),(5,3),(5,34),(6,4),(6,35),(7,5),(7,32),(8,6),(8,33),(9,2),(9,29),(10,1),(10,29),(12,14),(13,15),(14,16),(15,17),(16,11),(17,11),(18,12),(19,13),(20,22),(20,23),(21,25),(21,26),(22,14),(22,24),(23,15),(23,24),(24,16),(24,17),(25,20),(25,30),(26,20),(26,31),(27,21),(27,32),(28,21),(28,33),(29,27),(29,28),(30,12),(30,22),(31,13),(31,23),(32,25),(32,34),(33,26),(33,35),(34,18),(34,30),(35,19),(35,31)],36) [6,7,9,8,5,4,3,2,1]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [7,6,8,9,5,4,3,2,1]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [7,8,10,9,6,5,4,3,2,1]=>001111111=>([(0,8),(0,9),(1,12),(2,4),(2,18),(3,17),(4,6),(4,20),(5,7),(5,22),(6,5),(6,23),(7,3),(7,21),(8,2),(8,19),(9,1),(9,19),(11,14),(12,11),(13,15),(14,13),(15,16),(16,10),(17,10),(18,11),(18,20),(19,12),(19,18),(20,14),(20,23),(21,16),(21,17),(22,15),(22,21),(23,13),(23,22)],24) [6,7,5,9,8,4,3,2,1]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [5,7,9,8,6,4,3,2,1]=>00111111=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [7,6,8,5,9,4,3,2,1]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [6,5,8,9,7,4,3,2,1]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [8,7,9,10,6,5,4,3,2,1]=>100111111=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [6,3,1,8,2,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,4,1,3,2,5,7,8]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [4,1,7,8,3,2,5,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,4,7,1,3,6,2,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,6,2,8,4,5,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,8,2,1,3,6,4,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,3,5,2,1,9,8]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [7,6,3,5,4,2,1,9,8]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [8,5,1,7,3,4,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,6,3,4,1,8,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,9,10,1,5,6,3,4,2]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,8,3,5,2,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,4,6,1,8,5,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,3,8,7,4,5,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,3,5,7,4,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,8,4,6,7,1,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [9,8,6,1,2,3,4,5,7]=>11100000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [9,8,7,5,1,2,3,4,6]=>11110000=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [9,8,7,6,4,1,2,3,5]=>11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [9,8,7,6,5,3,1,2,4]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [7,1,2,6,4,3,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,2,6,5,3,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,7,8,6,2,3,5,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,2,4,8,6,5,3]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,7,5,6,4,8,1,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,6,5,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [9,8,4,7,6,5,3,2,1]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,8,3,7,6,5,4,2,1]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,3,8,7,6,5,4,2,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,2,8,7,6,5,4,3,1]=>10111111=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [10,9,8,5,7,6,4,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [9,8,4,6,5,7,3,2,1]=>11010111=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [10,9,8,4,7,6,5,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [9,8,3,6,5,4,7,2,1]=>11011011=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [10,9,4,8,7,6,5,3,2,1]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [9,3,7,6,5,4,8,2,1]=>10111011=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [9,2,7,6,5,4,3,8,1]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [10,3,9,8,7,6,5,4,2,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [10,2,9,8,7,6,5,4,3,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,4,3,1,6,5,2,8]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,5,1,2,6,8,7,4]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,1,2,4,8,7,5,6]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,4,1,2,3,7,8,6]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [1,6,7,2,5,8,3,4]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,5,6,2,4,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,6,2,4,1,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,4,6,3,8,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,4,7,8,6,2,1,3]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,7,4,8,3,1,5,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,1,3,7,4,6,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,5,8,2,3,4,7,1]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,8,2,3,6,4,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,2,7,5,3,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,8,1,3,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,1,8,2,3,4,6]=>1101000=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,2,4,1,3,7,5,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,2,3,7,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,2,3,6,4,5]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,7,5,1,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,2,5,3,8,1,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,7,4,2,8,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,7,6,3,8,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,8,5,1,2,3,7]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [4,6,5,7,1,2,3,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,5,7,1,3,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,7,6,1,8,2,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,2,1,6,3,4,7]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [7,1,8,5,3,2,4,6]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [9,10,2,1,6,4,3,5,7,8]=>011011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [7,10,2,1,8,4,3,5,6,9]=>011011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [2,9,1,10,7,4,3,5,6,8]=>010111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [2,8,1,9,4,3,10,5,6,7]=>010110100=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [10,8,5,2,1,6,3,4,7,9]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [9,5,2,1,10,6,3,4,7,8]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [10,7,2,1,8,5,3,4,6,9]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [9,2,1,10,7,5,3,4,6,8]=>110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [2,8,1,9,3,10,5,4,6,7]=>010101100=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [10,6,2,1,7,3,8,4,5,9]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [9,2,1,10,6,3,7,4,5,8]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [8,2,1,9,3,10,6,4,5,7]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [7,2,1,8,3,9,4,10,5,6]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [10,8,6,3,1,4,2,5,7,9]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [3,9,1,10,6,4,2,5,7,8]=>010111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [10,7,3,1,8,4,2,5,6,9]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [9,3,1,10,7,4,2,5,6,8]=>110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [8,3,1,9,4,2,10,5,6,7]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,8,5,1,6,3,2,4,7,9]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [9,5,1,10,6,3,2,4,7,8]=>110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [10,7,1,8,5,3,2,4,6,9]=>110111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [9,1,10,7,5,3,2,4,6,8]=>101111000=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [8,3,1,9,2,10,5,4,6,7]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [10,6,1,7,3,2,8,4,5,9]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [9,1,10,6,3,2,7,4,5,8]=>101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [8,1,9,3,2,10,6,4,5,7]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [7,1,8,3,2,9,4,10,5,6]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [10,8,4,1,5,2,6,3,7,9]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [9,4,1,10,5,2,6,3,7,8]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,7,1,8,4,2,5,3,6,9]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [9,1,10,7,4,2,5,3,6,8]=>101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [8,1,9,4,2,10,5,3,6,7]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [10,6,1,7,2,8,4,3,5,9]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [9,1,10,6,2,7,4,3,5,8]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [8,1,9,2,10,6,4,3,5,7]=>101011100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,1,8,2,9,4,3,10,5,6]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [10,5,1,6,2,7,3,8,4,9]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [9,1,10,5,2,6,3,7,4,8]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,1,9,2,10,5,3,6,4,7]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,1,8,2,9,3,10,5,4,6]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [12,7,2,1,8,3,9,4,10,5,6,11]=>11101010100=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42) [11,2,1,12,7,3,8,4,9,5,6,10]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [10,2,1,11,3,12,7,4,8,5,6,9]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [9,2,1,10,3,11,4,12,7,5,6,8]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [8,2,1,9,3,10,4,11,5,12,6,7]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [9,3,1,10,4,2,11,5,12,6,7,8]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [9,3,1,10,2,11,5,4,12,6,7,8]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [9,3,1,10,2,11,4,12,6,5,7,8]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,7,1,8,3,2,9,4,10,5,6,11]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,7,1,8,2,9,4,3,10,5,6,11]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [12,10,5,1,6,2,7,3,8,4,9,11]=>11101010100=>([(0,4),(0,5),(1,21),(2,3),(2,34),(3,8),(4,1),(4,33),(4,41),(5,2),(5,33),(5,41),(7,16),(8,15),(9,10),(10,7),(11,9),(12,17),(13,12),(14,13),(15,14),(16,18),(17,19),(18,20),(19,6),(20,6),(21,11),(22,37),(22,38),(23,15),(23,28),(24,26),(24,27),(25,12),(25,30),(26,16),(26,31),(27,30),(27,31),(28,14),(28,29),(29,13),(29,25),(30,17),(30,32),(31,18),(31,32),(32,19),(32,20),(33,35),(33,36),(34,8),(34,23),(35,11),(35,22),(35,39),(36,22),(36,23),(36,39),(37,24),(37,29),(37,40),(38,10),(38,24),(38,40),(39,9),(39,28),(39,37),(39,38),(40,7),(40,25),(40,26),(40,27),(41,21),(41,34),(41,35),(41,36)],42) [11,5,1,12,6,2,7,3,8,4,9,10]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,9,1,10,5,2,6,3,7,4,8,11]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,8,1,9,2,10,5,3,6,4,7,11]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [12,7,1,8,2,9,3,10,5,4,6,11]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,6,1,7,2,8,3,9,4,10,5,11]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [8,6,1,3,2,7,5,4]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [8,1,7,5,2,4,6,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,5,4,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,6,1,2,7,3,5,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,5,7,1,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,8,7,4,5,3,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,2,6,7,4,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,8,1,7,3,2,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,8,1,5,2,3,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,4,1,6,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,1,3,6,5,8,7,9]=>11001010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [4,2,1,3,6,5,8,7,10,9]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [6,2,1,4,3,5,8,7,9]=>11010010=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [2,6,1,5,3,4,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,7,5,4,2,6,1]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [5,7,8,2,3,6,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,8,7,3,1,4,5,6]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,6,1,2,4,7,8,3]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [10,2,3,1,4,5,6,7,8,9]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [9,2,3,4,1,5,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,8,4,5,7,6,3,2,1]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [9,8,5,4,6,7,3,2,1]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [10,9,8,6,5,7,4,3,2,1]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [10,9,8,4,5,7,6,3,2,1]=>111001111=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [9,8,4,5,3,7,6,2,1]=>11010111=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [9,8,3,5,7,6,4,2,1]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [9,8,5,4,6,3,7,2,1]=>11101011=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [9,8,4,3,6,7,5,2,1]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [10,9,8,5,4,6,7,3,2,1]=>111100111=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [3,8,6,7,5,4,2,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [7,8,5,1,4,6,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,7,5,4,6,1,3]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,6,3,1,2,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,6,7,1,3,2,8,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,7,5,3,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,4,6,3,1,5,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,3,1,4,5,6,8,2]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,7,3,4,2,1,8,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,8,3,1,5,7,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,4,2,3,5,1,8,6]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,1,6,5,2,4,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,3,8,6,4,1,7]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,4,1,3,2,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,3,4,7,6,1,8,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,2,1,6,3,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,2,1,6,7,3,8]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,8,6,2,4,7,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,1,6,4,3,8,7]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,2,8,5,7,1,4]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,8,1,5,7,2,3]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,1,2,5,7,6,3,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,5,8,1,7,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,3,6,4,8,7,5]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,8,1,2,7,5,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,4,3,8,7,5,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,5,1,6,8,7,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,5,1,8,6,4,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,8,7,3,1,4,6]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [9,8,7,4,3,2,1,5,6]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [9,8,7,6,3,2,1,4,5]=>11111100=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [3,8,7,2,6,1,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,5,1,6,7,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,7,3,1,5,2,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,1,8,3,6,4,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,8,4,7,3,2,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,8,4,2,7,1,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,8,6,1,2,5,7]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,8,6,5,7,1,3,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,3,5,6,8,4,1]=>1000011=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [5,8,1,3,4,7,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,3,4,2,7,6,1,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,5,6,4,1,3,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,4,2,3,6,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,4,2,3,7,6,5,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,4,5,3,1,6,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,1,4,5,8,2]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,4,1,7,8,6,2,3]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,4,7,8,1,6,2]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,3,7,6,5,1,8,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,1,4,8,2,3,7,6]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,2,8,5,4,1,6,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,9,1,3,4,5,6,2]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,2,8,3,4,6,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,1,2,7,3,5,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,2,6,3,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,7,5,6,3,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,1,4,7,2,3,6,8]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,1,2,3,6,5,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,4,2,5,6,7,8,9]=>00100000=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,4,5,6,3,7,8,9]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [1,2,3,5,6,7,8,4,9]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [2,1,5,3,6,7,4,8,9]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [1,3,5,6,4,2,7,8,9]=>00011000=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [3,5,2,1,6,4,7,8,9]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [2,1,3,6,4,7,8,9,5]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [1,3,4,6,7,2,8,5,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [3,2,6,1,4,7,8,5,9]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [2,4,6,1,7,5,3,8,9]=>00101100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28) [4,6,3,2,1,7,5,8,9]=>01110100=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [2,4,1,7,5,8,3,9,6]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,3,7,2,1,5,8,9,6]=>10110001=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [1,3,5,7,8,6,4,2,9]=>00001110=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [3,5,7,2,1,8,6,4,9]=>00110110=>([(0,3),(0,4),(1,13),(2,15),(2,22),(3,2),(3,21),(3,24),(4,1),(4,21),(4,24),(6,9),(7,6),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,17),(14,20),(15,20),(15,23),(16,9),(16,18),(17,10),(17,19),(18,11),(18,12),(19,8),(19,18),(20,16),(20,19),(21,14),(21,15),(22,7),(22,17),(22,23),(23,6),(23,10),(23,16),(24,13),(24,14),(24,22)],25) [5,7,4,3,2,1,8,6,9]=>01111010=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [2,4,6,8,1,9,7,5,3]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [4,6,8,3,2,1,9,7,5]=>00111011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [6,8,5,4,3,2,1,9,7]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,3,4,2,5,6,7,8,9,10]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [1,2,4,5,6,3,7,8,9,10]=>000010000=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [1,2,3,5,6,7,8,4,9,10]=>000000100=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [2,1,5,3,6,7,4,8,9,10]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [1,3,5,6,4,2,7,8,9,10]=>000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [3,5,2,1,6,4,7,8,9,10]=>011010000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [2,1,3,6,4,7,8,9,5,10]=>100100010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [1,3,4,6,7,2,8,5,9,10]=>000010100=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [3,2,6,1,4,7,8,5,9,10]=>101000100=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [2,4,6,1,7,5,3,8,9,10]=>001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [4,6,3,2,1,7,5,8,9,10]=>011101000=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [1,3,4,2,7,8,5,9,10,6]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [3,2,1,7,4,5,8,9,10,6]=>110100001=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [1,2,4,5,7,8,9,6,3,10]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [4,3,7,2,1,5,8,9,6,10]=>101100010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [1,3,5,7,8,6,4,2,9,10]=>000011100=>([(0,6),(0,7),(1,17),(2,1),(2,26),(3,5),(3,31),(3,32),(4,2),(4,18),(4,33),(5,24),(5,25),(6,3),(6,27),(6,28),(7,4),(7,27),(7,28),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,9),(18,10),(19,14),(19,29),(20,29),(20,30),(21,9),(21,30),(22,15),(22,16),(23,20),(23,21),(24,19),(24,20),(25,13),(25,19),(26,17),(26,21),(27,32),(27,33),(28,18),(28,31),(29,11),(29,22),(30,12),(30,22),(31,10),(31,25),(32,23),(32,24),(33,23),(33,26)],34) [3,5,7,2,1,8,6,4,9,10]=>001101100=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [5,7,4,3,2,1,8,6,9,10]=>011110100=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [2,1,5,3,8,6,9,10,7,4]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [1,3,5,6,8,9,4,2,10,7]=>000001101=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [3,5,2,8,1,6,9,4,10,7]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,4,8,3,2,1,6,9,10,7]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [2,4,6,8,1,9,7,5,3,10]=>000101110=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [4,6,8,3,2,1,9,7,5,10]=>001110110=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33) [6,8,5,4,3,2,1,9,7,10]=>011111010=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [3,5,7,9,2,1,10,8,6,4]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [5,7,9,4,3,2,1,10,8,6]=>001111011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [7,9,6,5,4,3,2,1,10,8]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [6,2,3,8,7,1,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,3,6,4,7,5,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,2,3,6,4,8,1,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,6,3,7,2,8,1,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [1,5,6,7,4,8,3,9,2]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [5,4,1,6,2,7,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,1,3,5,4,2,8,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,8,2,4,5,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,2,8,6,5,1,3,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,8,5,4,7,1,2,6]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,8,3,6,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,2,4,8,7,1,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,2,7,4,1,5,6]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,3,2,6,5,8,1,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,5,7,4,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,7,1,5,8,6,4,3]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,2,4,1,6,8,5,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,7,2,3,8,5,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,8,5,7,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,3,6,5,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,5,6,3,4,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,1,8,5,4,7,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,1,5,4,2,8,3]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,6,8,7,2,4,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,7,5,3,1,8,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,3,2,6,8,7,4,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,4,6,2,8,7,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,5,8,6,7,2,3,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,7,6,1,2,8,3]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,6,5,7,2,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,3,7,5,6,1,10,9,4,8]=>001010110=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [2,3,4,10,6,9,8,5,1,7]=>000101110=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [2,3,6,5,9,10,8,4,1,7]=>001001110=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [2,3,9,5,8,7,4,1,10,6]=>001011101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,5,4,9,6,10,8,3,1,7]=>010101110=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [2,5,4,8,9,7,3,1,10,6]=>010011101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [2,3,4,10,6,7,1,9,8,5]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [2,3,7,5,6,1,10,9,8,4]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [2,3,4,10,6,8,9,1,7,5]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,3,6,5,8,10,9,1,7,4]=>001001101=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [2,3,8,5,7,9,1,10,6,4]=>001001011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [2,5,4,8,6,10,9,1,7,3]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,5,4,7,8,9,1,10,6,3]=>010001011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,3,4,10,6,9,8,7,5,1]=>000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [2,3,6,5,9,10,8,7,4,1]=>001001111=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [2,3,7,5,9,8,10,6,4,1]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [2,3,9,5,8,7,6,4,1,10]=>001011110=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [2,5,4,9,6,10,8,7,3,1]=>010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [2,5,4,9,7,8,10,6,3,1]=>010100111=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [2,5,4,8,9,7,6,3,1,10]=>010011110=>([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34) [2,3,4,10,7,9,8,1,6,5]=>000101101=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [2,3,5,7,10,9,8,1,6,4]=>000011101=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [2,3,8,6,9,7,1,10,5,4]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [2,4,7,5,10,9,8,1,6,3]=>001011101=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,4,6,8,9,7,1,10,5,3]=>000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [2,3,4,10,7,8,9,6,5,1]=>000100111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [2,3,5,7,10,8,9,6,4,1]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [2,3,7,6,8,9,10,5,4,1]=>001000111=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [2,3,9,6,7,8,5,4,1,10]=>001001110=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [2,4,7,5,10,8,9,6,3,1]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [2,4,6,7,8,9,10,5,3,1]=>000000111=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [2,4,6,9,7,8,5,3,1,10]=>000101110=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [2,6,5,8,9,7,10,4,3,1]=>010010111=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [2,6,5,7,8,9,4,3,1,10]=>010001110=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [3,7,4,5,10,9,8,1,6,2]=>010011101=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [3,6,4,8,9,7,1,10,5,2]=>010011011=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [3,7,4,5,10,8,9,6,2,1]=>010010111=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [3,6,4,7,8,9,10,5,2,1]=>010000111=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [3,6,4,9,7,8,5,2,1,10]=>010101110=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [3,5,6,8,9,7,10,4,2,1]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [3,5,6,7,8,9,4,2,1,10]=>000001110=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32) [7,4,8,6,3,5,1,2]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,2,4,3,6,1,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,4,7,8,6,1,5]=>0000110=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [6,3,7,1,4,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,3,2,7,6,5,1,9,8,10]=>110111010=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [4,3,2,1,7,6,9,8,5,10]=>111010110=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [4,3,2,7,6,1,9,8,5,10]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,3,2,7,6,9,8,5,1,10]=>110101110=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [4,3,7,6,2,1,9,8,5,10]=>101110110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [4,3,7,6,2,9,8,5,1,10]=>101101110=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [4,3,2,1,7,6,5,9,10,8]=>111011001=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [4,3,2,7,6,5,1,9,10,8]=>110111001=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [4,3,2,1,7,6,9,5,10,8]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [4,3,2,7,6,1,9,5,10,8]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [4,3,2,7,6,9,5,1,10,8]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,7,6,2,1,9,5,10,8]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,3,7,6,2,9,5,1,10,8]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,3,2,1,7,6,9,10,8,5]=>111010011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [4,3,2,7,6,1,9,10,8,5]=>110110011=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [4,3,2,7,6,9,1,10,8,5]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [4,3,2,7,6,9,10,8,5,1]=>110100111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [4,3,7,6,2,1,9,10,8,5]=>101110011=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [4,3,7,6,2,9,1,10,8,5]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,7,6,2,9,10,8,5,1]=>101100111=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [4,3,2,1,7,9,6,5,10,8]=>111001101=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [4,3,2,7,1,9,6,5,10,8]=>110101101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,2,7,9,6,5,1,10,8]=>110011101=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [4,3,7,2,1,9,6,5,10,8]=>101101101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,3,7,2,9,6,5,1,10,8]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,3,2,1,7,9,6,10,8,5]=>111001011=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [4,3,2,7,1,9,6,10,8,5]=>110101011=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [4,3,2,7,9,6,1,10,8,5]=>110011011=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [4,3,2,7,9,6,10,8,5,1]=>110010111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [4,3,7,2,1,9,6,10,8,5]=>101101011=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,7,2,9,6,1,10,8,5]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [4,3,7,2,9,6,10,8,5,1]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [4,3,7,9,6,2,1,10,8,5]=>100111011=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [4,3,7,9,6,2,10,8,5,1]=>100110111=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [4,7,3,2,1,9,6,5,10,8]=>011101101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [4,7,3,2,9,6,5,1,10,8]=>011011101=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [4,7,3,2,1,9,6,10,8,5]=>011101011=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [4,7,3,2,9,6,1,10,8,5]=>011011011=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [4,7,3,2,9,6,10,8,5,1]=>011010111=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [4,7,3,9,6,2,1,10,8,5]=>010111011=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [4,6,3,5,1,8,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,7,6,2,3,4,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,5,6,7,8,9,2,4,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [3,4,6,7,8,2,5,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,4,6,7,8,9,1,3,5]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,5,6,7,3,8,1,4]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,5,6,7,8,9,3,1,4]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [5,8,4,6,2,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,6,8,3,4,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,1,7,6,2,8,3,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,1,8,2,7,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,1,7,2,8,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,5,6,3,7,4,8,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,3,8,4,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,5,3,7,4,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,3,5,4,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,7,3,2,8,4,1,6]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,6,1,7,5,3,4]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [8,1,5,2,7,4,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,4,2,8,5,3,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,6,8,1,7,5,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,4,6,5,3,8,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,5,8,7,1,3,6]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,1,6,8,7,5,4,2]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [3,1,8,7,5,6,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,1,8,7,6,3,4,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,2,7,5,3,6,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,2,3,1,5,6,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,8,5,7,6,1,3,4]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,7,2,6,4,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,1,6,4,5,3]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,8,4,7,6,2,5,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,1,6,4,3,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,1,7,3,6,5,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [5,4,6,3,8,1,7,2,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,6,5,7,4,9,2,8,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,6,4,7,3,9,1,8,2,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,4,8,1,7,2,6,3,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,4,8,1,6,3,7,2,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,6,5,9,2,8,3,7,4]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,6,5,9,2,7,4,8,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,6,7,5,8,4,10,2,9,3]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [8,3,6,2,1,5,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,7,8,9,1,10,2,3]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,5,6,7,8,1,9,3,4]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [4,5,6,7,1,2,8,3,9]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [1,3,6,7,8,9,2,4,5]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [3,5,6,7,8,1,2,9,4]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,2,5,4,7,6,8,10,9,1]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [3,2,5,4,6,9,7,8,10,1]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [3,2,5,4,6,8,7,10,9,1]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [3,2,5,4,6,7,10,8,9,1]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [3,2,4,7,5,6,9,8,10,1]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [3,2,4,7,5,6,8,10,9,1]=>100100011=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,23),(3,29),(4,1),(4,24),(4,30),(5,2),(5,24),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,22),(25,28),(26,13),(26,19),(27,12),(27,20),(28,11),(28,27),(29,14),(29,26),(30,17),(30,25),(30,32),(31,8),(31,22),(31,23),(32,7),(32,8),(32,28),(32,29)],33) [3,2,4,6,5,9,7,8,10,1]=>100101001=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,5),(16,6),(17,11),(17,12),(18,13),(18,14),(19,13),(19,15),(20,6),(20,14),(21,5),(21,15),(22,16),(22,20),(23,16),(23,21),(24,18),(24,19),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,2,4,6,5,8,7,10,9,1]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [3,2,4,6,5,7,10,8,9,1]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [3,2,4,5,9,6,7,8,10,1]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [3,2,4,5,8,6,7,10,9,1]=>100010011=>([(0,4),(0,5),(1,17),(2,3),(2,31),(2,32),(3,7),(3,29),(4,1),(4,23),(4,30),(5,2),(5,23),(5,30),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,25),(23,31),(24,18),(24,27),(25,22),(25,24),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,14),(29,27),(30,17),(30,25),(30,32),(31,7),(31,22),(31,28),(32,8),(32,24),(32,28),(32,29)],33) [3,2,4,5,7,6,10,8,9,1]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [3,2,4,5,6,10,7,8,9,1]=>100001001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [2,5,3,4,7,6,9,8,10,1]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,5,3,4,7,6,8,10,9,1]=>010010011=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [2,5,3,4,6,9,7,8,10,1]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [2,5,3,4,6,8,7,10,9,1]=>010001011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,5,3,4,6,7,10,8,9,1]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [2,4,3,7,5,6,9,8,10,1]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,4,3,7,5,6,8,10,9,1]=>010100011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [2,4,3,6,5,9,7,8,10,1]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [2,4,3,6,5,7,10,8,9,1]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [2,4,3,5,9,6,7,8,10,1]=>010010001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [2,4,3,5,8,6,7,10,9,1]=>010010011=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [2,4,3,5,7,6,10,8,9,1]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [2,4,3,5,6,10,7,8,9,1]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [2,3,7,4,5,6,9,8,10,1]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [2,3,7,4,5,6,8,10,9,1]=>001000011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [2,3,6,4,5,9,7,8,10,1]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,3,6,4,5,8,7,10,9,1]=>001001011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [2,3,6,4,5,7,10,8,9,1]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [2,3,5,4,9,6,7,8,10,1]=>001010001=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [2,3,5,4,8,6,7,10,9,1]=>001010011=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [2,3,5,4,7,6,10,8,9,1]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,3,5,4,6,10,7,8,9,1]=>001001001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,3,4,9,5,6,7,8,10,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,3,4,8,5,6,7,10,9,1]=>000100011=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [2,3,4,7,5,6,10,8,9,1]=>000100101=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [2,3,4,6,5,10,7,8,9,1]=>000101001=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [1,7,3,6,8,2,5,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,1,8,7,3,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,5,2,6,7,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,6,4,7,5,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,1,2,6,8,3]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,8,6,7,5,3,1,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [7,4,5,2,6,3,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,6,3,4,5,1,7,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,3,5,4,1,7,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,4,5,1,3,6,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,2,5,3,1,4,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,7,3,1,2,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,7,3,5,1,6,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [4,8,3,2,6,1,7,5]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,3,7,6,1,5,2,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,5,4,3,6,1,8,2]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [4,6,8,5,3,1,2,7]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,6,8,4,3,7,2,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [7,5,8,4,2,1,6,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,4,8,7,6,2,5,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,2,4,1,5,3,8,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,3,4,1,7,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,8,5,4,3,6,1,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,5,3,1,2,7,4]=>1111001=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [7,4,6,5,3,2,8,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,7,2,3,8,4,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,2,6,5,7,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,4,2,8,5,6,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,1,7,4,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,5,7,1,4,3,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,5,3,1,2,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [8,5,2,4,6,1,3,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,5,3,4,7,2,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,4,6,1,5,7,3,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,7,2,1,3,8,5]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,3,1,2,4,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,1,8,7,6,2,5,4]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,3,8,6,7,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,2,3,6,1,8,4,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,2,6,4,7,1,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,6,2,5,7,8,4,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,4,6,8,3,5,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,8,1,5,4,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,7,6,8,4,2,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,7,4,6,8,5,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [3,7,6,8,5,1,4,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,3,8,6,2,4,5]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,7,1,8,6,5,3,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,4,5,7,6,8,9,1]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,5,7,8,6,9,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,3,4,5,8,7,6,9,1]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [2,3,4,5,7,9,8,6,1]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [4,5,6,3,7,8,9,2,1]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [3,4,5,6,2,7,8,9,10,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,4,5,6,3,7,8,9,10,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,3,5,6,4,7,8,9,10,1]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [8,1,5,2,6,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,6,7,5,1,2,3,8]=>0011000=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [5,3,4,7,6,2,1,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,1,8,5,7,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,1,8,2,7,5,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,6,8,2,4,3,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,4,5,3,8,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,6,1,4,2,8,5]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,7,2,6,4,5,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,3,4,7,9,5,6,8]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,6,7,9,5,8]=>00000010=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [1,2,3,4,8,5,6,9,7]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,3,4,7,8,5,9,6]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,6,4,8,3,5,1,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,4,8,5,3,2,7,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [3,5,8,4,6,7,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,4,8,5,7,3,6]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [7,3,4,1,8,2,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,6,3,1,8,2,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,6,5,1,8,4,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,7,2,1,4,8,6,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,6,3,5,2,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,5,1,6,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,5,1,7,6,4,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,7,4,2,1,6,5,3]=>1111011=>([(0,4),(0,5),(1,2),(1,17),(2,7),(3,1),(3,8),(3,16),(4,18),(4,19),(5,3),(5,18),(5,19),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,10),(13,14),(14,11),(14,12),(15,9),(15,13),(16,13),(16,17),(17,7),(17,14),(18,15),(18,16),(19,8),(19,15)],20) [5,4,7,6,2,1,8,3]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [3,5,2,8,7,1,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,5,4,1,8,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,6,5,3,1,8,7,2]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,2,6,7,3,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [9,3,10,1,2,4,5,6,7,8]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,3,1,9,2,4,5,6,7,8]=>110100000=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [3,1,4,10,2,5,6,7,8,9]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [8,6,7,4,3,1,5,2]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,7,1,8,5,3,2,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,6,7,1,4,3,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,6,7,2,1,3,5,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,6,1,7,4,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,1,2,5,7,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,1,5,4,2,7,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,3,1,7,5,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,4,6,1,8,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,1,4,7,6,2,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,5,2,7,1,3,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,5,1,6,2,8]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,5,3,6,2,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,3,7,1,8,2,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [3,1,2,7,6,4,5,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,1,2,7,6,3,4,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,6,1,7,2,4,3,8]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,5,6,8,1,2,7,4]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,6,5,7,1,3,4,8]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,3,7,1,5,6,4,8]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,6,5,3,4,1,7,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,6,1,3,5,4,7,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,6,1,5,2,8,7,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,5,4,2,7,8,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,1,5,2,7,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,6,5,1,3,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,1,8,6,2,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,8,2,7,5,1,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,6,4,1,7,2,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,6,3,4,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,2,3,1,6,8,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [9,8,10,7,6,5,4,3,1,2]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,7,9,6,5,4,2,1,3]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,9,7,6,5,4,2,1,3]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,9,7,6,5,4,2,3,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [10,7,1,2,3,4,8,9,5,6]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [1,6,4,5,7,3,2,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,6,4,5,7,2,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,5,6,4,8,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,5,6,7,3,2,4,8]=>0001100=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,2,4,3,1,7,5,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,1,4,3,7,5,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,8,2,1,5,3,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,6,2,5,1,3,7,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,7,2,6,4,1,8,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,1,3,8,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,5,7,4,2,8,1]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,6,4,8,5,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,2,1,6,4,7,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,3,8,6,5,2,7,4]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,7,3,8,5,6,4,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,2,8,5,7,4,6,3]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,8,5,4,7,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,1,8,3,2,6,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,3,8,6,4,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,2,5,4,3,7,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,4,3,7,6,2,1]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,1,5,3,4,7,2,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,8,7,4,5,3,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,5,8,6,4,3,7,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,8,6,4,2,1,7,3]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [2,6,1,8,4,7,5,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,3,8,6,1,2,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,1,4,6,2,7,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,2,1,4,8,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,2,3,7,1,8,5]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,7,5,1,3,4,2]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,3,2,7,8,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [2,7,6,1,5,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,8,6,4,2,5,3,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,4,5,8,7,1,3,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,1,7,8,3,2,5]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,3,4,5,8,6,7,9,1]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,5,9,6,8,7,1]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,3,4,5,2,6,7,8,1]=>10010001=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [6,2,3,4,5,7,8,9,10,1]=>100000001=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [2,6,3,4,5,7,8,9,10,1]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [2,3,6,4,5,7,8,9,10,1]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [6,4,3,8,7,2,5,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,4,7,2,1,3,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,8,2,3,4,5,1,6,9]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [1,8,9,3,4,5,6,2,7]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,6,4,5,7,1,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,4,6,1,5,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,4,6,5,2,8,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,6,7,5,8,2,1,3]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,5,7,6,4,1,8,3]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,1,4,6,2,7,8,3]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,2,5,3,7,8,6,4]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,8,3,5,1,2,7,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,3,7,2,8,4,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,4,1,7,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,1,5,8,2,6,7,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,5,3,1,7,4,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,5,2,3,7,1,8,4]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,1,6,4,8,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,1,3,7,5,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,4,5,7,1,8,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,3,8,7,1,4,6,5]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,2,7,5,6,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,1,3,4,5,8,6,7,9]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [6,8,2,5,4,7,3,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [9,2,3,4,5,1,6,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [7,2,3,4,5,6,9,1,8]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [10,2,3,4,5,6,7,1,8,9]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [6,2,3,4,5,9,1,7,8]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [10,2,3,4,5,6,1,7,8,9]=>100001000=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [5,2,3,4,9,1,6,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [10,2,3,4,5,1,6,7,8,9]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [4,2,3,9,1,5,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [10,2,3,4,1,5,6,7,8,9]=>100100000=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,2,9,1,4,5,6,7,8]=>10100000=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,7,6,3,8,4,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,8,2,3,1,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,2,3,5,1,8,6]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,4,2,1,3,7,5,8]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [2,8,1,3,4,5,6,10,7,9]=>010000010=>([(0,5),(0,6),(1,4),(1,20),(1,21),(2,24),(2,25),(3,2),(3,28),(3,29),(4,3),(4,26),(4,27),(5,22),(5,23),(6,1),(6,22),(6,23),(8,15),(9,14),(10,16),(11,17),(12,10),(13,11),(14,12),(15,13),(16,7),(17,7),(18,8),(18,9),(19,16),(19,17),(20,9),(20,26),(21,8),(21,27),(22,18),(22,20),(23,18),(23,21),(24,10),(24,19),(25,11),(25,19),(26,14),(26,28),(27,15),(27,29),(28,12),(28,24),(29,13),(29,25)],30) [10,7,1,2,3,4,5,9,6,8]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [5,3,2,7,6,1,8,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [5,6,4,2,8,7,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,7,4,2,6,1,8,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,4,7,1,6,2,8,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,5,8,7,6,2,1,3]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,4,7,1,2,3,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,6,8,2,9,3,10,7,1]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,4,5,6,9,3,8,2,7,1]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [4,5,10,6,9,3,8,2,7,1]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,5,8,2,6,10,9,3,7,1]=>001001101=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [10,6,9,5,4,3,8,2,7,1]=>101110101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [8,2,6,10,9,5,4,3,7,1]=>100111101=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34) [8,2,10,4,5,6,7,1,9,3]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [4,5,6,8,2,10,7,1,9,3]=>000101101=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [10,4,5,6,8,2,7,1,9,3]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [4,5,10,6,8,2,7,1,9,3]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,5,10,8,2,6,7,1,9,3]=>001100101=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [10,6,8,2,7,1,9,5,4,3]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [10,8,2,6,7,1,9,5,4,3]=>110010111=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [8,2,7,1,9,3,10,4,5,6]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,5,8,2,7,1,9,3,10,6]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,5,9,3,10,7,1,8,2,6]=>001011010=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [4,5,7,1,9,3,8,2,6,10]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [8,2,7,1,9,5,4,3,10,6]=>101011101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [9,5,4,3,10,7,1,8,2,6]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,1,9,5,4,3,8,2,6,10]=>101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [8,2,6,10,4,5,7,1,9,3]=>100100101=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [4,8,2,6,10,5,7,1,9,3]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [4,10,8,2,5,6,7,1,9,3]=>011000101=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [8,2,6,10,5,7,1,9,4,3]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [10,8,2,5,6,7,1,9,4,3]=>110001011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35) [9,3,10,4,5,7,1,8,2,6]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,9,3,10,5,7,1,8,2,6]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,9,3,10,7,1,8,2,5,6]=>010110100=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [4,7,1,9,3,8,2,5,6,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [9,4,3,10,5,7,1,8,2,6]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [9,4,3,10,7,1,8,2,5,6]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [7,1,9,4,3,8,2,5,6,10]=>101101000=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [5,10,7,1,8,2,4,3,9,6]=>011010101=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [5,7,1,8,2,4,3,9,6,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [10,5,7,1,9,4,2,6,8,3]=>101011001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [9,4,2,5,6,7,1,10,8,3]=>110001011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35) [10,5,7,1,8,3,9,4,2,6]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [10,7,1,8,3,9,4,2,5,6]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [7,1,8,3,9,4,2,5,6,10]=>101011000=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [4,2,5,10,7,1,8,3,9,6]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [4,2,5,7,1,8,3,9,6,10]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [1,8,7,2,3,4,6,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [1,8,3,7,6,2,5,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,3,8,2,5,6,4,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,3,2,7,4,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,3,8,4,6,2,7,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,2,3,6,7,4,5,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,6,4,2,1,7,3,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,7,6,3,8,4,1]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [6,4,7,1,2,5,3,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,6,7,8,9,1,2,10,3]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [4,5,6,7,8,1,3,9,2]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,7,5,8,6,3,4]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [2,1,9,8,7,6,5,3,4]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,9,8,7,6,4,3,5]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [2,1,9,8,7,6,3,5,4]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,1,10,9,8,7,6,5,3,4]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,4,5,1,6,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,7,8,4,2,6,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,2,5,7,4,1,8]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,1,5,3,7,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,5,1,3,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,8,5,1,3,7,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [10,9,7,3,6,1,2,4,8,5]=>111010001=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [9,7,3,6,1,2,4,10,8,5]=>110100011=>([(0,4),(0,5),(1,17),(1,18),(2,3),(2,31),(2,32),(3,24),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,29),(24,19),(24,27),(25,23),(25,28),(26,7),(26,28),(27,12),(27,20),(28,14),(28,29),(29,13),(29,21),(30,11),(30,27),(31,8),(31,30),(32,23),(32,24),(33,17),(33,25),(33,26),(33,31),(34,18),(34,25),(34,26),(34,32)],35) [7,3,10,9,6,1,2,4,8,5]=>101110001=>([(0,5),(0,6),(1,3),(1,31),(1,32),(2,4),(2,19),(2,30),(3,25),(3,28),(4,8),(4,29),(5,1),(5,33),(5,34),(6,2),(6,33),(6,34),(8,16),(9,13),(10,17),(11,18),(12,14),(13,12),(14,11),(15,10),(16,15),(17,7),(18,7),(19,8),(20,21),(20,22),(21,10),(21,23),(22,11),(22,23),(23,17),(23,18),(24,20),(24,26),(25,20),(25,27),(26,15),(26,21),(27,14),(27,22),(28,12),(28,27),(29,16),(29,26),(30,24),(30,29),(31,24),(31,25),(32,13),(32,28),(33,9),(33,30),(33,31),(34,9),(34,19),(34,32)],35) [7,3,9,6,1,2,4,10,8,5]=>101100011=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [9,6,1,2,4,10,7,3,8,5]=>110001101=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [8,4,10,9,7,3,6,1,2,5]=>101110100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [10,8,4,9,7,3,6,1,2,5]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [7,3,8,4,10,9,6,1,2,5]=>101011100=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,8),(24,28),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,7),(29,27),(30,22),(30,23),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [7,3,10,8,4,9,6,1,2,5]=>101101100=>([(0,3),(0,4),(1,14),(2,19),(2,25),(3,2),(3,24),(3,28),(4,1),(4,24),(4,28),(6,9),(7,10),(8,12),(9,13),(10,11),(11,8),(12,5),(13,5),(14,7),(15,22),(15,23),(16,12),(16,13),(17,18),(17,20),(18,15),(18,26),(19,18),(19,27),(20,15),(20,21),(21,6),(21,22),(22,9),(22,16),(23,8),(23,16),(24,17),(24,19),(25,7),(25,20),(25,27),(26,6),(26,11),(26,23),(27,10),(27,21),(27,26),(28,14),(28,17),(28,25)],29) [10,7,3,8,4,9,6,1,2,5]=>110101100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [6,1,2,7,3,8,4,10,9,5]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [6,1,2,7,3,10,8,4,9,5]=>100101101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [6,1,2,10,7,3,8,4,9,5]=>100110101=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [10,6,1,2,7,3,8,4,9,5]=>110010101=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [6,1,3,10,9,7,2,4,8,5]=>100111001=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,8),(19,16),(20,7),(20,17),(21,7),(21,8),(22,15),(22,16),(23,15),(23,17),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,20),(29,21),(30,19),(30,22),(31,20),(31,23)],32) [6,1,3,9,7,2,4,10,8,5]=>100110011=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [10,9,6,1,3,7,2,4,8,5]=>111001001=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,29),(4,2),(4,28),(4,31),(5,3),(5,28),(5,31),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,7),(16,17),(16,24),(17,11),(17,27),(18,13),(18,14),(19,16),(19,22),(20,15),(20,25),(21,16),(21,30),(22,8),(22,17),(23,12),(23,26),(24,26),(24,27),(25,7),(25,23),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,22),(29,25),(29,30),(30,8),(30,23),(30,24),(31,19),(31,20),(31,29)],32) [9,6,1,3,7,2,4,10,8,5]=>110010011=>([(0,3),(0,4),(1,29),(1,30),(2,16),(2,17),(3,1),(3,27),(3,28),(4,2),(4,27),(4,28),(6,9),(7,8),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,7),(17,6),(18,21),(18,22),(19,10),(19,24),(20,11),(20,25),(21,20),(21,23),(22,19),(22,23),(23,24),(23,25),(24,12),(24,26),(25,13),(25,26),(26,14),(26,15),(27,16),(27,18),(27,29),(28,17),(28,18),(28,30),(29,7),(29,21),(29,31),(30,6),(30,22),(30,31),(31,8),(31,9),(31,19),(31,20)],32) [10,7,2,4,9,6,1,3,8,5]=>110011001=>([(0,3),(0,4),(1,26),(1,28),(2,25),(2,27),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,13),(12,14),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,12),(16,22),(17,12),(17,23),(18,22),(18,24),(19,23),(19,24),(20,27),(20,28),(21,25),(21,26),(22,6),(22,13),(23,7),(23,14),(24,6),(24,7),(25,18),(25,19),(26,16),(26,18),(27,17),(27,19),(28,16),(28,17)],29) [6,1,3,8,4,10,9,7,2,5]=>100101110=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,17),(2,31),(3,8),(3,30),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,7),(19,21),(19,22),(20,19),(20,27),(21,10),(21,23),(22,9),(22,23),(23,15),(23,16),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,13),(27,21),(28,12),(28,22),(29,14),(29,27),(30,11),(30,28),(31,24),(31,30),(32,7),(32,29),(33,25),(33,26),(33,31),(33,32),(34,17),(34,18),(34,25),(34,26)],35) [6,1,3,10,8,4,9,7,2,5]=>100110110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [8,4,10,9,6,1,3,7,2,5]=>101110010=>([(0,4),(0,5),(1,29),(1,31),(2,3),(2,30),(2,32),(3,24),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,16),(9,17),(10,18),(11,13),(12,14),(13,9),(14,10),(15,11),(16,12),(17,6),(18,6),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,17),(22,18),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,12),(28,26),(29,23),(29,27),(30,23),(30,24),(31,15),(31,27),(32,16),(32,28),(33,7),(33,8),(33,31),(33,32),(34,7),(34,8),(34,29),(34,30)],35) [10,8,4,9,6,1,3,7,2,5]=>110110010=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [9,6,1,3,8,4,10,7,2,5]=>110010110=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [7,2,6,1,3,8,4,10,9,5]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [7,2,6,1,3,10,8,4,9,5]=>101001101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [10,7,2,6,1,3,8,4,9,5]=>110100101=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [7,2,10,6,1,3,8,4,9,5]=>101100101=>([(0,3),(0,4),(1,29),(1,30),(2,28),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,25),(22,6),(22,26),(23,6),(23,7),(24,11),(24,17),(25,12),(25,18),(26,13),(26,25),(27,10),(27,24),(28,20),(28,27),(29,21),(29,26),(30,20),(30,21),(31,7),(31,27),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [8,3,6,1,4,10,9,7,2,5]=>101001110=>([(0,4),(0,5),(1,30),(1,31),(2,3),(2,18),(2,32),(3,7),(3,28),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,10),(20,22),(21,9),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,13),(25,20),(26,14),(26,21),(27,11),(27,25),(28,15),(28,26),(29,12),(29,27),(30,23),(30,24),(31,23),(31,27),(32,24),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [10,8,3,6,1,4,9,7,2,5]=>110100110=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,26),(21,16),(21,24),(22,20),(22,25),(23,6),(23,25),(24,11),(24,17),(25,13),(25,26),(26,12),(26,18),(27,10),(27,24),(28,21),(28,27),(29,20),(29,21),(30,7),(30,27),(31,6),(31,7),(32,22),(32,23),(32,28),(32,30),(33,22),(33,23),(33,29),(33,31)],34) [10,9,6,1,4,8,3,7,2,5]=>111001010=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [9,6,1,4,10,8,3,7,2,5]=>110011010=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [8,3,9,6,1,4,10,7,2,5]=>101100110=>([(0,3),(0,4),(1,27),(1,31),(2,25),(2,26),(3,1),(3,28),(3,29),(4,2),(4,28),(4,29),(6,12),(7,13),(8,14),(9,15),(10,11),(11,8),(12,9),(13,10),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,12),(23,17),(24,11),(24,18),(25,21),(25,22),(26,20),(26,21),(27,22),(27,30),(28,7),(28,26),(28,31),(29,7),(29,25),(29,27),(30,6),(30,10),(30,24),(31,13),(31,20),(31,30)],32) [8,3,7,2,6,1,4,10,9,5]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [10,8,3,7,2,6,1,4,9,5]=>110101001=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [8,3,10,7,2,6,1,4,9,5]=>101101001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [7,2,8,3,10,6,1,4,9,5]=>101011001=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [9,4,10,8,3,7,2,6,1,5]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,3,9,4,10,7,2,6,1,5]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,2,8,3,9,4,10,6,1,5]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [12,10,5,11,9,4,8,3,7,1,2,6]=>11011010100=>([(0,3),(0,4),(1,19),(2,28),(2,30),(3,2),(3,42),(3,45),(4,1),(4,42),(4,45),(6,16),(7,10),(8,17),(9,18),(10,11),(11,12),(12,14),(13,15),(14,8),(15,9),(16,13),(17,5),(18,5),(19,7),(20,25),(20,26),(21,32),(21,34),(22,20),(22,37),(23,20),(23,36),(24,22),(24,38),(25,9),(25,27),(26,8),(26,27),(27,17),(27,18),(28,21),(28,29),(29,6),(29,34),(30,21),(30,41),(31,22),(31,23),(32,23),(32,39),(33,24),(33,35),(34,16),(34,39),(35,11),(35,38),(36,15),(36,25),(37,14),(37,26),(38,12),(38,37),(39,13),(39,36),(40,7),(40,33),(40,44),(41,6),(41,31),(41,32),(42,28),(42,40),(42,43),(43,29),(43,33),(43,41),(43,44),(44,10),(44,24),(44,31),(44,35),(45,19),(45,30),(45,40),(45,43)],46) [12,9,4,10,5,11,8,3,7,1,2,6]=>11010110100=>([(0,3),(0,4),(1,18),(2,29),(2,30),(3,2),(3,42),(3,44),(4,1),(4,42),(4,44),(6,15),(7,11),(8,16),(9,17),(10,12),(11,13),(12,8),(13,9),(14,10),(15,14),(16,5),(17,5),(18,6),(19,20),(19,37),(20,26),(20,27),(21,22),(21,23),(22,19),(22,24),(23,24),(23,38),(24,20),(24,35),(25,19),(25,36),(26,8),(26,28),(27,9),(27,28),(28,16),(28,17),(29,21),(29,32),(30,21),(30,31),(31,22),(31,25),(32,23),(32,41),(33,25),(33,34),(34,7),(34,36),(35,12),(35,26),(36,11),(36,37),(37,13),(37,27),(38,10),(38,35),(39,6),(39,33),(39,40),(40,15),(40,34),(40,41),(41,7),(41,14),(41,38),(42,30),(42,39),(42,43),(43,31),(43,32),(43,33),(43,40),(44,18),(44,29),(44,39),(44,43)],45) [12,8,3,9,4,10,5,11,7,1,2,6]=>11010101100=>([(0,3),(0,4),(1,20),(2,27),(2,38),(3,2),(3,41),(3,44),(4,1),(4,41),(4,44),(6,17),(7,11),(8,18),(9,19),(10,13),(11,10),(12,15),(13,16),(14,12),(15,8),(16,9),(17,14),(18,5),(19,5),(20,6),(21,24),(21,25),(22,21),(22,35),(23,21),(23,34),(24,9),(24,26),(25,8),(25,26),(26,18),(26,19),(27,28),(27,37),(28,31),(28,32),(29,39),(29,40),(30,23),(30,33),(31,22),(31,36),(32,14),(32,36),(33,13),(33,34),(34,16),(34,24),(35,15),(35,25),(36,12),(36,35),(37,17),(37,32),(38,6),(38,7),(38,37),(39,30),(39,31),(39,43),(40,11),(40,30),(40,43),(41,27),(41,29),(41,42),(42,7),(42,28),(42,39),(42,40),(43,10),(43,22),(43,23),(43,33),(44,20),(44,29),(44,38),(44,42)],45) [12,11,5,10,4,9,3,8,2,7,1,6]=>11010101010=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [4,1,7,8,3,6,5,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,4,2,1,7,3,5,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [5,8,4,2,1,3,6,7]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [4,5,3,6,7,8,9,1,2]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [5,3,4,6,7,8,9,1,2]=>10000010=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [1,7,5,8,4,3,6,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,1,6,4,7,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,7,5,1,8,6,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,3,7,1,8,5,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,5,1,2,7,4,8,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,6,5,7,8,2,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,1,8,7,4,2]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,8,1,2,5,4,3,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,8,4,3,5,1,7,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,2,4,7,6,8,1,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,5,7,4,8,6,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,1,7,6,8,2,5,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,2,6,4,1,5,3,8]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,2,6,5,8,3,7,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,5,6,1,4,2,8]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,8,3,1,6,7,4,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,5,8,1,7,3,6,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,1,6,8,5,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,7,1,6,4,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,7,3,8,2,5,4,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,1,3,6,7,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,3,1,8,6,7,4,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [6,2,7,1,4,3,5,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [9,5,4,3,2,1,6,7,8]=>11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [10,3,4,1,2,5,6,7,8,9]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [8,3,2,6,5,1,7,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,2,6,5,1,4,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [2,6,8,4,7,1,3,5]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,8,6,3,2,5,4,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,2,8,6,3,1,4,7]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,6,4,8,2,3,5,7]=>0101000=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [2,8,5,6,4,1,7,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,7,3,5,8,6,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,8,2,5,1,6,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,6,1,4,3,2,7,5]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,8,2,4,1,5,6]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,3,7,8,1,2,5,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,1,5,2,3,8,4]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,1,8,6,7,2,3,4]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,1,6,8,2,3,4]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,8,4,2,1,7,3,5]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,3,2,8,1,7,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,1,3,7,8,5,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [6,8,5,4,3,7,1,2]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,4,8,3,1,2,6]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,1,2,4,8,3,7,5]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [2,5,6,8,1,4,7,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [7,4,1,6,5,2,3,8]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,1,6,5,2,3,8,7]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,1,7,8,6,2,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,5,7,3,4,6,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,7,4,3,5,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,8,7,5,3,4,2,1]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,8,6,2,4,7,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [4,8,6,2,5,7,3,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,6,4,7,5,3,2,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,5,3,2,7,4,8]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,6,8,7,4,5,3,2]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,7,5,3,2,6,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [1,7,5,4,3,2,8,6]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [1,4,7,5,3,2,8,6]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,7,4,6,8,5,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [6,8,7,2,3,5,4,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,6,1,8,2,4,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,5,7,2,3,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,7,8,5,1,4,3,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,5,6,2,4,7,3,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [3,5,8,4,2,6,1,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,1,3,6,4,5,2,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,3,7,4,8,5,9,6]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,2,3,4,7,5,9,8,6]=>00001011=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [1,2,6,3,7,4,9,8,5]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [1,2,3,8,6,4,9,7,5]=>00011011=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [1,2,3,6,4,9,8,7,5]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [5,1,6,2,7,3,9,8,4]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [1,5,2,8,6,3,9,7,4]=>01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [1,5,2,6,3,9,8,7,4]=>01010111=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [1,2,7,5,3,9,8,6,4]=>00110111=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [1,2,5,3,9,8,7,6,4]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [4,1,7,5,2,9,8,6,3]=>10110111=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [4,1,5,2,9,8,7,6,3]=>10101111=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,6,4,2,9,8,7,5,3]=>01101111=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,4,2,9,8,7,6,5,3]=>01011111=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [7,5,3,1,9,8,6,4,2]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,3,1,9,8,7,6,4,2]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,8,5,9,6,10,7]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,3,4,5,8,6,10,9,7]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [1,2,3,7,4,8,5,10,9,6]=>000101011=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,3,4,9,7,5,10,8,6]=>000011011=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [1,2,3,4,7,5,10,9,8,6]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [1,6,2,7,3,8,4,10,9,5]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,2,6,3,9,7,4,10,8,5]=>001011011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [1,2,6,3,7,4,10,9,8,5]=>001010111=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [1,2,3,8,6,4,10,9,7,5]=>000110111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [1,2,3,6,4,10,9,8,7,5]=>000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [5,1,6,2,9,7,3,10,8,4]=>101011011=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [5,1,6,2,7,3,10,9,8,4]=>101010111=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,5,2,6,3,10,9,8,7,4]=>010101111=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [1,2,7,5,3,10,9,8,6,4]=>001101111=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [1,2,5,3,10,9,8,7,6,4]=>001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [7,4,1,8,5,2,10,9,6,3]=>110110111=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [4,1,9,7,5,2,10,8,6,3]=>101110111=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [4,1,7,5,2,10,9,8,6,3]=>101101111=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [4,1,5,2,10,9,8,7,6,3]=>101011111=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [1,8,6,4,2,10,9,7,5,3]=>011101111=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [1,6,4,2,10,9,8,7,5,3]=>011011111=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [1,4,2,10,9,8,7,6,5,3]=>010111111=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [7,5,3,1,10,9,8,6,4,2]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [5,3,1,10,9,8,7,6,4,2]=>110111111=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [4,3,1,6,2,5,8,7]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,5,2,1,8,4,3,6]=>1110110=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [5,3,1,4,7,8,2,6]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,1,2,4,8,3,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [8,6,1,3,5,7,4,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,1,5,8,2,3,4,6]=>1001000=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [3,6,8,5,1,4,2,7]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,2,4,1,6,8,3,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,3,4,6,8,1,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,7,1,2,5,6,3,8]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [6,7,3,1,8,2,4,5]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,3,1,4,6,2,8,5]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,4,1,2,5,6,3,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [5,4,1,3,6,8,7,2]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [5,7,4,8,1,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,3,1,2,5,7,6,8]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [2,3,4,5,8,7,6,1,9]=>00001110=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [1,3,4,5,6,9,8,7,2]=>00000111=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [1,2,3,4,5,8,9,7,6]=>00000011=>([(0,7),(0,8),(1,11),(2,4),(2,16),(3,15),(4,5),(4,18),(5,6),(5,20),(6,3),(6,19),(7,2),(7,17),(8,1),(8,17),(10,12),(11,10),(12,13),(13,14),(14,9),(15,9),(16,10),(16,18),(17,11),(17,16),(18,12),(18,20),(19,14),(19,15),(20,13),(20,19)],21) [1,2,3,4,8,9,6,7,5]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [1,2,3,8,9,5,6,7,4]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [1,2,4,7,8,5,6,3]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [1,2,8,9,4,5,6,7,3]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,3,6,5,7,4,2,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,6,5,7,4,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,4,7,1,5,2,6,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,6,3,7,5,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,2,5,3,7,6,4,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,5,7,1,4,3,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,1,8,4,2,6,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,5,3,6,8,7,1,2]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,1,6,5,8,7,3,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,1,5,4,7,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [9,4,2,3,5,6,7,8,1]=>11000001=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [3,1,8,4,2,7,6,5]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,8,7,4,1,3,6,5]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,3,1,7,6,4,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,2,3,1,6,4,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,5,8,3,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,8,2,3,1,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,5,7,3,1,4,6]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,2,7,3,1,4,5,6]=>1011000=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,3,2,8,7,1,6,4]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,7,4,1,3,5,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,3,6,5,2,8,7]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,6,3,2,5,1,8,7]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,2,6,5,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,3,6,5,2,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,2,5,4,7,3]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,4,3,8,6,1,7,5]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,6,3,8,5,4,7,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,1,3,2,5,8,7,4]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,8,4,2,5,3,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,4,3,5,2,7,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,1,4,6,5,3,7,2]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,4,2,5,6,7,9,8,3]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [2,1,4,5,6,9,7,3,8]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [3,5,4,6,1,2,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,1,5,2,9,6,7,8,4]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,5,1,6,8,7,9,2,3]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [1,4,2,5,6,7,8,10,9,3]=>010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [2,1,4,5,6,7,10,8,3,9]=>100000110=>([(0,6),(0,7),(1,15),(1,25),(2,4),(2,14),(2,24),(3,19),(3,30),(4,5),(4,18),(4,31),(5,3),(5,20),(5,29),(6,2),(6,21),(6,22),(7,1),(7,21),(7,22),(9,17),(10,12),(11,13),(12,11),(13,16),(14,18),(15,10),(16,8),(17,8),(18,20),(19,9),(20,19),(21,14),(21,15),(22,24),(22,25),(23,16),(23,17),(24,28),(24,31),(25,10),(25,28),(26,11),(26,27),(27,13),(27,23),(28,12),(28,26),(29,27),(29,30),(30,9),(30,23),(31,26),(31,29)],32) [2,3,1,5,9,6,7,4,8]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [1,2,4,5,7,9,6,3,8]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,4,6,5,7,1,2,9,8]=>00101001=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [3,1,9,4,2,6,7,8,5]=>10110001=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [7,3,5,6,1,8,2,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,2,5,3,9,6,8,7,4]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [3,1,5,2,6,10,7,8,9,4]=>101001001=>([(0,2),(0,3),(1,14),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,11),(6,7),(7,8),(8,5),(9,10),(10,12),(11,13),(12,4),(13,4),(14,18),(14,21),(15,21),(15,24),(16,11),(16,19),(17,9),(17,22),(18,17),(18,20),(19,12),(19,13),(20,16),(20,22),(21,20),(21,25),(22,10),(22,19),(23,7),(23,18),(23,24),(24,8),(24,17),(24,25),(25,5),(25,9),(25,16),(26,6),(26,14),(26,23),(27,6),(27,15),(27,23)],28) [4,5,1,7,6,8,2,9,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,5,1,6,7,9,8,10,2,3]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [5,7,6,3,4,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,7,2,3,5,8,1]=>0010001=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [6,5,4,8,7,2,3,1]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,2,8,3,9,4,10,5,1,6]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [7,2,8,3,9,4,10,1,5,6]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [7,2,8,3,9,10,4,5,1,6]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,2,8,3,9,10,4,1,5,6]=>101001100=>([(0,3),(0,4),(1,28),(1,29),(2,30),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,15),(20,16),(21,17),(21,23),(22,17),(22,24),(23,13),(23,18),(24,12),(24,19),(25,11),(25,23),(26,14),(26,27),(27,10),(27,24),(28,7),(28,25),(29,21),(29,25),(30,21),(30,22),(31,7),(31,22),(31,27),(32,6),(32,26),(32,29),(32,30),(33,6),(33,26),(33,28),(33,31)],34) [7,2,8,3,9,10,1,4,5,6]=>101001000=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [7,2,8,9,3,4,10,5,1,6]=>100100110=>([(0,3),(0,4),(1,27),(1,31),(2,15),(2,26),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,11),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,6),(16,21),(16,23),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,7),(20,23),(21,17),(21,18),(22,16),(22,20),(23,11),(23,18),(24,12),(24,25),(25,10),(25,17),(26,6),(26,24),(27,16),(27,28),(28,7),(28,21),(28,25),(29,22),(29,26),(29,31),(30,15),(30,22),(30,27),(31,20),(31,24),(31,28)],32) [7,2,8,9,3,4,10,1,5,6]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,2,8,9,3,10,4,5,1,6]=>100101010=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [7,2,8,9,3,10,4,1,5,6]=>100101100=>([(0,3),(0,4),(1,30),(1,31),(2,28),(2,29),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,11),(13,10),(14,5),(15,5),(16,18),(16,19),(17,16),(17,24),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,16),(21,25),(22,17),(22,26),(23,17),(23,21),(24,10),(24,18),(25,11),(25,19),(26,13),(26,24),(27,12),(27,25),(28,21),(28,27),(29,7),(29,27),(30,6),(30,26),(31,6),(31,7),(32,22),(32,23),(32,29),(32,31),(33,22),(33,23),(33,28),(33,30)],34) [7,2,8,9,3,10,1,4,5,6]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [7,2,8,9,10,3,4,5,1,6]=>100010010=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,7),(2,26),(3,20),(3,21),(4,1),(4,20),(4,21),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,8),(15,17),(16,9),(16,17),(17,13),(17,14),(18,22),(18,27),(19,15),(19,16),(20,18),(20,28),(21,18),(21,29),(22,19),(22,24),(23,6),(23,24),(24,12),(24,16),(25,11),(25,15),(26,10),(26,25),(27,6),(27,19),(27,25),(28,7),(28,22),(28,23),(29,23),(29,26),(29,27)],30) [7,2,8,9,10,3,4,1,5,6]=>100010100=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,24),(21,16),(21,23),(22,20),(22,26),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,25),(28,6),(28,7),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,7),(31,20),(31,21),(31,26)],32) [7,2,8,9,10,3,1,4,5,6]=>100011000=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32) [7,8,2,3,9,4,10,5,1,6]=>010010110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [7,8,2,3,9,4,10,1,5,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,2,3,9,10,4,5,1,6]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [7,8,2,3,9,10,4,1,5,6]=>010001100=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [7,8,2,3,9,10,1,4,5,6]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,2,9,3,4,10,5,1,6]=>010100110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,9),(18,20),(19,8),(19,20),(20,14),(20,15),(21,17),(21,24),(22,7),(22,27),(23,17),(23,25),(24,12),(24,18),(25,11),(25,19),(26,13),(26,24),(27,10),(27,25),(28,21),(28,26),(29,21),(29,23),(30,6),(30,26),(31,7),(31,23),(31,27),(32,22),(32,28),(32,30),(32,31),(33,16),(33,22),(33,29),(33,31)],34) [7,8,2,9,3,4,10,1,5,6]=>010100100=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,8,2,9,3,10,4,5,1,6]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,8,2,9,3,10,4,1,5,6]=>010101100=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [7,8,2,9,3,10,1,4,5,6]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,8,2,9,10,3,4,5,1,6]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [7,8,2,9,10,3,4,1,5,6]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,2,9,10,3,1,4,5,6]=>010011000=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [7,8,2,9,10,1,3,4,5,6]=>010010000=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [7,8,9,2,3,4,10,5,1,6]=>001000110=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [7,8,9,2,3,4,10,1,5,6]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [7,8,9,2,3,10,4,5,1,6]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [7,8,9,2,3,10,4,1,5,6]=>001001100=>([(0,3),(0,4),(1,31),(1,32),(2,27),(2,28),(3,1),(3,29),(3,30),(4,2),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,25),(23,12),(23,17),(24,11),(24,18),(25,13),(25,23),(26,10),(26,24),(27,21),(27,26),(28,7),(28,26),(29,22),(29,28),(29,31),(30,22),(30,27),(30,32),(31,7),(31,20),(31,25),(32,6),(32,20),(32,21)],33) [7,8,9,2,3,10,1,4,5,6]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,8,9,2,10,3,4,5,1,6]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [7,8,9,2,10,3,4,1,5,6]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [7,8,9,2,10,3,1,4,5,6]=>001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [7,8,9,2,10,1,3,4,5,6]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [7,8,9,10,2,3,4,1,5,6]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,8,9,10,2,3,1,4,5,6]=>000101000=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,6),(2,7),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,20),(22,21),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,7),(27,25),(28,6),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,20),(31,21),(31,25),(31,26)],32) [7,8,9,10,2,1,3,4,5,6]=>000110000=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [8,2,9,3,10,4,11,5,12,1,6,7]=>10101010100=>([(0,2),(0,3),(1,14),(2,22),(2,29),(3,1),(3,22),(3,29),(5,8),(6,12),(7,5),(8,10),(9,6),(10,9),(11,13),(12,4),(13,4),(14,7),(15,17),(15,23),(16,12),(16,13),(17,18),(17,26),(18,21),(18,28),(19,20),(19,25),(20,11),(20,16),(21,19),(21,27),(22,15),(22,24),(23,5),(23,18),(23,26),(24,7),(24,17),(24,23),(25,6),(25,11),(25,16),(26,8),(26,21),(26,28),(27,9),(27,20),(27,25),(28,10),(28,19),(28,27),(29,14),(29,15),(29,24)],30) [4,8,7,6,5,3,2,1,9]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [5,9,8,7,6,4,3,2,1,10]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [5,8,7,4,6,3,2,1,9]=>01101110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [8,4,7,6,5,3,2,1,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [5,7,4,3,6,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,9,8,5,7,4,1,3,2]=>01101101=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [9,8,7,5,1,6,4,3,2]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [10,9,8,6,1,7,5,4,3,2]=>111101111=>([(0,4),(0,5),(1,3),(1,22),(1,23),(2,13),(2,14),(3,2),(3,28),(3,29),(4,24),(4,25),(5,1),(5,24),(5,25),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,19),(15,20),(16,17),(16,18),(17,15),(17,26),(18,15),(18,27),(19,9),(19,21),(20,10),(20,21),(21,11),(21,12),(22,17),(22,28),(23,18),(23,29),(24,16),(24,22),(25,16),(25,23),(26,8),(26,19),(27,7),(27,20),(28,13),(28,26),(29,14),(29,27)],30) [1,2,8,3,4,5,6,9,7]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [1,9,5,2,3,8,4,6,7]=>01100100=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [1,2,9,3,4,5,6,7,10,8]=>001000001=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [1,8,2,9,4,3,5,6,7]=>01011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [1,3,2,4,9,8,5,6,7]=>01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [2,1,3,4,5,9,8,6,7]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [1,2,3,4,5,9,6,7,10,8]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [9,1,7,2,3,4,5,8,6]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [1,10,6,2,3,4,9,5,7,8]=>011000100=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [1,8,5,2,3,4,6,9,7]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [9,8,1,2,3,5,6,4,7]=>11000010=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [1,5,2,9,3,10,4,6,7,8]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [1,4,2,3,9,5,6,8,7]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [1,8,5,6,2,3,7,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,9,8,1,2,5,3,6,7]=>01100100=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [1,2,4,3,10,9,5,6,7,8]=>001011000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [1,3,2,4,5,9,6,8,7]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [1,8,3,9,4,2,5,6,7]=>01011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [1,3,2,4,5,10,9,6,7,8]=>010001100=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [2,3,1,4,9,8,5,6,7]=>01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [2,1,3,4,5,9,6,10,7,8]=>100001010=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [7,2,4,6,8,1,5,3]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [6,2,5,4,7,8,1,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,6,1,7,4,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,5,6,1,3,2,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [5,3,7,8,2,6,1,4]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,5,8,3,6,1,7,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,5,8,7,2,3,1,6]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,2,6,4,3,7,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,3,1,8,7,4,5,2]=>1101101=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,6,3,2,7,4,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [1,3,6,8,7,4,5,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [5,7,1,3,6,2,4,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,7,5,2,3,6,8,1]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,6,4,1,2,5,7,8]=>0110000=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [4,7,1,3,2,5,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,7,1,3,2,6,8,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,3,6,2,8,4]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,2,5,7,3,1,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,8,5,2,3,6,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,8,6,3,4,7,2,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [3,7,5,4,2,8,1,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,6,5,1,7,8,2,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,1,3,2,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,6,5,1,8,2,4,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [5,8,7,3,4,2,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,7,6,5,4,1,9,3,2]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,7,6,5,2,9,1,3,4]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,7,6,3,9,2,1,4,5]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [8,7,4,9,3,2,1,6,5]=>11011101=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [8,5,9,4,3,2,1,6,7]=>10111100=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [6,9,5,4,3,2,1,7,8]=>01111100=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [9,8,7,6,5,4,1,10,3,2]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,7,6,5,2,1,4,3,9]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,8,7,6,5,2,10,1,3,4]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [8,7,6,3,2,5,1,4,9]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,7,6,5,1,9,4,3,2]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,8,7,6,3,10,2,1,4,5]=>111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [8,7,4,3,6,2,1,9,5]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [8,7,6,2,9,5,1,3,4]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [9,8,7,4,10,3,2,1,6,5]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [8,5,4,7,3,2,1,6,9]=>11011100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [8,7,3,9,6,2,1,4,5]=>11011100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [9,8,5,10,4,3,2,1,6,7]=>110111100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [6,5,8,4,3,2,1,7,9]=>10111100=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [8,4,9,7,3,2,1,6,5]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,6,10,5,4,3,2,1,7,8]=>101111100=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [5,9,8,4,3,2,1,6,7]=>01111100=>([(0,6),(0,7),(1,16),(2,4),(2,10),(2,20),(3,18),(3,23),(4,5),(4,17),(4,22),(5,3),(5,19),(5,24),(6,2),(6,11),(6,21),(7,1),(7,11),(7,21),(9,12),(10,17),(11,10),(12,13),(13,14),(14,8),(15,8),(16,9),(17,19),(18,15),(19,18),(20,9),(20,22),(21,16),(21,20),(22,12),(22,24),(23,14),(23,15),(24,13),(24,23)],25) [7,10,6,5,4,3,2,1,9,8]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,5,2,3,7,4,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,1,5,4,8,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,7,6,3,5,2,8,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,3,4,8,6,2]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,8,2,3,4,7,6,1]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [8,7,3,2,6,4,5,1]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,1,4,7,5,2,6]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,1,6,4,8,7,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,8,5,7,2,6,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,5,1,2,7,6,4,3]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [10,7,8,1,2,3,4,5,6,9]=>101000000=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [6,7,10,1,2,3,4,5,8,9]=>001000000=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [8,2,6,3,1,5,4,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,8,5,6,2,4,1]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,10,2,3,4,7,5,6,8,9]=>010001000=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,4,3,6,2,5,8,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,8,7,1,6,2,5]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,3,8,4,7,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,2,3,1,6,5,7,4]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,4,2,7,1,3,6,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,4,2,3,1,6,7,5]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,2,3,6,5,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,2,6,4,7,1,5]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,7,5,8,6,2,4,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,1,7,4,8,3,2]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [10,9,8,6,7,5,4,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [7,6,3,5,1,4,8,2]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,5,4,1,7,2,3,8]=>1110100=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [8,3,6,1,7,4,5,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,1,2,6,4,8,3,5]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,1,8,6,2,4,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,7,5,6,4,3,2,1,9]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [8,6,5,7,4,3,2,1,9]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [9,8,7,6,4,3,2,5,1]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,8,7,6,4,3,5,2,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [8,5,6,7,4,3,2,1,9]=>10011110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [10,9,7,6,8,5,4,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [6,7,5,8,4,3,2,1,9]=>01011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [10,8,7,6,9,5,4,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [8,9,7,6,4,3,2,1,5]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [7,6,5,3,2,1,4,8,9]=>11111000=>([(0,7),(0,8),(1,6),(1,19),(2,4),(2,18),(3,14),(4,15),(5,3),(5,23),(6,5),(6,22),(7,1),(7,20),(8,2),(8,20),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,12),(16,13),(17,11),(17,16),(18,15),(18,21),(19,21),(19,22),(20,18),(20,19),(21,10),(21,17),(22,17),(22,23),(23,14),(23,16)],24) [9,8,7,6,4,3,5,1,2]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,8,7,6,4,3,2,5,1,10]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [9,8,7,6,4,5,2,3,1]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [9,8,7,6,4,3,5,2,1,10]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [9,8,7,6,5,3,4,2,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,8,7,5,4,6,2,3]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [8,1,6,7,4,5,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,1,6,4,7,5,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [6,4,8,1,5,3,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,6,4,3,5,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,1,4,3,7,8,6,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,1,8,6,3,2,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,6,3,4,2,1,8]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [4,1,3,7,6,5,2,8]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,7,6,5,4,2,3,1,9]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [4,3,6,1,2,7,8,5]=>1010001=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [1,10,9,8,6,5,7,4,3,2]=>011110111=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,9,8,6,5,7,4,3,1]=>01110111=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,1,4,5,6,7,9,2,10,8]=>100000101=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [5,8,3,6,7,2,4,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,6,2,5,7,4,3]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,7,1,5,3,6,8,4]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,8,7,3,4,2,5,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,6,2,4,7,5,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,7,3,6,4,2,1,8]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,3,6,4,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,5,6,4,1,8,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,1,8,2,3,4,5,9,6]=>10100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [6,8,1,2,3,4,5,9,7]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [9,6,7,4,5,2,3,1,8]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,9,6,7,4,5,2,1,3]=>01010110=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [10,8,9,6,7,4,5,2,1,3]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [9,8,6,5,4,3,7,2,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [2,8,5,7,3,4,6,1]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,6,4,5,1,7,8,9]=>00101000=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [2,3,4,8,5,6,7,1,9]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [3,5,4,7,2,6,1,8,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,6,4,1,5,3,7,8,9]=>01101000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [4,5,2,6,3,1,7,8,9]=>01011000=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [3,6,4,5,9,2,7,8,1]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,5,4,7,8,6,3,1,9]=>01001110=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [4,6,2,5,8,3,7,1,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [3,5,7,6,1,4,2,8,9]=>00110100=>([(0,3),(0,4),(1,24),(1,25),(2,14),(2,15),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,8),(7,9),(8,10),(9,12),(10,13),(11,7),(12,5),(13,5),(14,11),(15,6),(16,8),(16,22),(17,11),(17,23),(18,19),(18,23),(19,21),(19,22),(20,12),(20,13),(21,9),(21,20),(22,10),(22,20),(23,7),(23,21),(24,16),(24,19),(25,6),(25,16),(26,14),(26,17),(26,18),(26,24),(27,15),(27,17),(27,18),(27,25)],28) [5,6,2,3,7,4,1,8,9]=>01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [5,7,2,3,6,9,4,8,1]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [2,8,4,1,6,3,7,5,9]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,6,7,8,3,1,5,2,9]=>00011010=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,21),(3,22),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,17),(21,18),(22,16),(22,17),(23,11),(23,16),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,8),(27,20),(27,21),(27,23)],28) [6,7,2,3,4,8,5,1,9]=>01000110=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28) [3,5,9,7,1,8,2,6,4]=>00110101=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [5,7,8,3,9,4,1,6,2]=>00101101=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [7,8,2,3,4,5,9,6,1]=>01000011=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [2,4,3,1,5,6,7,8,9,10]=>011000000=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [2,3,6,4,5,1,7,8,9,10]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [3,4,5,2,1,6,7,8,9,10]=>001100000=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32) [2,3,4,8,5,6,7,1,9,10]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [3,5,4,7,2,6,1,8,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [2,6,4,1,5,3,7,8,9,10]=>011010000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [4,5,2,6,3,1,7,8,9,10]=>010110000=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,26),(4,27),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,24),(21,18),(21,29),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,20),(25,31),(26,20),(26,21),(27,21),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,27),(32,30),(33,9),(33,25),(33,26),(33,30)],34) [3,6,4,5,9,2,7,8,1,10]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,5,4,7,8,6,3,1,9,10]=>010011100=>([(0,4),(0,5),(1,28),(1,33),(2,3),(2,29),(2,30),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,12),(24,19),(25,13),(25,20),(26,11),(26,24),(27,14),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,27),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,26)],34) [4,6,2,5,8,3,7,1,9,10]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [3,5,7,6,1,4,2,8,9,10]=>001101000=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,10),(20,22),(21,9),(21,22),(22,14),(22,15),(23,18),(23,28),(24,7),(24,27),(25,19),(25,24),(26,19),(26,23),(27,13),(27,20),(28,12),(28,21),(29,11),(29,28),(30,23),(30,29),(31,8),(31,29),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [5,6,2,3,7,4,1,8,9,10]=>010011000=>([(0,4),(0,5),(1,17),(2,28),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,26),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,22),(28,23),(29,22),(29,24),(30,23),(30,27),(31,8),(31,28),(31,30),(32,8),(32,29),(32,33),(33,14),(33,17),(33,24),(33,27)],34) [2,5,4,8,6,10,7,3,9,1]=>010101101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [4,7,2,5,6,10,3,8,9,1]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [2,3,9,5,6,1,7,8,4,10]=>001010010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,7,2,3,6,9,4,8,1,10]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [2,8,4,1,6,3,7,5,9,10]=>011010100=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [4,6,7,8,3,1,5,2,9,10]=>000110100=>([(0,4),(0,5),(1,16),(2,30),(2,31),(3,1),(3,17),(3,32),(4,2),(4,33),(4,34),(5,3),(5,33),(5,34),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,29),(23,18),(23,27),(24,7),(24,27),(25,22),(25,28),(26,8),(26,28),(27,13),(27,19),(28,11),(28,29),(29,12),(29,20),(30,23),(30,24),(31,22),(31,23),(32,16),(32,24),(33,25),(33,26),(33,30),(33,32),(34,17),(34,25),(34,26),(34,31)],35) [6,7,2,3,4,8,5,1,9,10]=>010001100=>([(0,4),(0,5),(1,28),(1,30),(2,3),(2,29),(2,33),(3,23),(3,27),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,15),(9,16),(10,17),(11,12),(12,9),(13,10),(14,13),(15,11),(16,6),(17,6),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,16),(21,17),(22,18),(22,24),(23,18),(23,25),(24,13),(24,19),(25,12),(25,20),(26,14),(26,24),(27,11),(27,25),(28,22),(28,26),(29,22),(29,23),(30,7),(30,26),(31,8),(31,30),(31,33),(32,8),(32,28),(32,29),(33,7),(33,15),(33,27)],34) [3,6,4,10,8,7,1,5,9,2]=>010111001=>([(0,4),(0,5),(1,18),(1,32),(2,3),(2,30),(2,31),(3,23),(3,24),(4,1),(4,33),(4,34),(5,2),(5,33),(5,34),(7,15),(8,12),(9,16),(10,17),(11,13),(12,11),(13,10),(14,9),(15,14),(16,6),(17,6),(18,7),(19,20),(19,21),(20,9),(20,22),(21,10),(21,22),(22,16),(22,17),(23,19),(23,25),(24,19),(24,26),(25,14),(25,20),(26,13),(26,21),(27,11),(27,26),(28,15),(28,25),(29,12),(29,27),(30,23),(30,28),(31,24),(31,27),(32,7),(32,28),(33,8),(33,29),(33,30),(33,32),(34,8),(34,18),(34,29),(34,31)],35) [2,7,4,9,6,3,10,8,5,1]=>010110111=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [4,6,8,7,3,9,10,5,2,1]=>001100111=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [6,8,2,3,4,7,10,5,9,1]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [3,5,9,7,1,8,2,6,4,10]=>001101010=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [5,7,8,3,9,4,1,6,2,10]=>001011010=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [7,8,2,3,4,5,9,6,1,10]=>010000110=>([(0,5),(0,6),(1,19),(1,29),(2,3),(2,30),(2,31),(3,4),(3,20),(3,22),(4,23),(4,24),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,15),(12,16),(13,11),(14,12),(15,17),(16,18),(17,7),(18,7),(19,9),(20,14),(20,23),(21,13),(21,28),(22,24),(22,28),(23,12),(23,27),(24,26),(24,27),(25,17),(25,18),(26,15),(26,25),(27,16),(27,25),(28,11),(28,26),(29,9),(29,21),(30,21),(30,22),(31,8),(31,20),(32,10),(32,29),(32,30),(33,10),(33,19),(33,31)],34) [4,6,8,10,9,1,5,2,7,3]=>000110101=>([(0,4),(0,5),(1,16),(2,1),(2,25),(3,23),(3,26),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,19),(17,20),(18,17),(18,28),(19,10),(19,22),(20,9),(20,22),(21,7),(21,28),(22,14),(22,15),(23,18),(23,27),(24,8),(24,30),(25,16),(25,21),(26,18),(26,21),(27,17),(27,29),(28,13),(28,19),(29,12),(29,20),(30,11),(30,29),(31,8),(31,27),(31,30),(32,23),(32,24),(32,31),(33,24),(33,25),(33,26),(33,31)],34) [6,8,9,3,4,10,5,1,7,2]=>001001101=>([(0,3),(0,4),(1,28),(1,30),(2,29),(2,31),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,14),(7,11),(8,15),(9,16),(10,12),(11,13),(12,8),(13,9),(14,10),(15,5),(16,5),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,15),(20,16),(21,7),(21,25),(22,17),(22,26),(23,17),(23,24),(24,12),(24,18),(25,11),(25,26),(26,13),(26,19),(27,10),(27,24),(28,23),(28,27),(29,22),(29,25),(30,14),(30,27),(31,7),(31,22),(31,23),(32,6),(32,21),(32,29),(32,30),(33,6),(33,21),(33,28),(33,31)],34) [8,9,2,3,4,5,6,10,7,1]=>010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [2,1,3,8,5,4,6,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,6,8,2,4,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,8,6,3,2,4,5]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,1,2,5,3,8,4,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,7,4,2,5,1,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,3,4,5,7,2,6]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,6,7,5,3,8,1,4]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,2,6,8,7,1,3]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,2,6,8,3,1,7]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,5,7,6,2,1,3,8]=>0011100=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [7,8,2,6,5,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [5,3,7,8,4,2,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,3,6,8,1,5,4,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [9,7,8,5,6,2,4,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,7,8,4,6,2,5,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,6,8,4,7,2,5,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,9,6,4,7,2,5,1,3]=>01101010=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [8,9,6,7,4,2,5,1,3]=>01011010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [9,7,8,3,6,2,5,1,4]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [9,5,8,4,7,2,6,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [7,6,9,4,8,2,5,1,3]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [8,6,9,7,4,2,5,1,3]=>10111010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [10,8,9,6,4,7,2,5,1,3]=>101101010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [8,9,6,4,7,5,2,1,3]=>01101110=>([(0,3),(0,4),(1,2),(1,23),(1,24),(2,6),(2,20),(3,16),(3,17),(4,1),(4,16),(4,17),(6,11),(7,10),(8,12),(9,13),(10,9),(11,8),(12,5),(13,5),(14,18),(14,19),(15,12),(15,13),(16,14),(16,23),(17,14),(17,24),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,9),(21,15),(22,8),(22,15),(23,7),(23,18),(23,20),(24,6),(24,7),(24,19)],25) [10,8,9,6,7,4,2,5,1,3]=>101011010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [8,9,6,7,4,2,5,3,1]=>01011011=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [7,5,8,2,4,3,6,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,5,8,2,3,4,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,5,3,4,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,7,2,4,3,6,1]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,2,4,8,5,6,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,8,2,3,7,4,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,8,2,3,5,4,6,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,4,1,3,2,6,5,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,7,2,3,5,4,6,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,7,6,8,4,5,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,7,3,1,8,5,6,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,8,5,2,1,6,7,4]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [10,1,2,9,6,3,4,5,7,8]=>100110000=>([(0,5),(0,6),(1,16),(2,1),(2,26),(3,29),(3,30),(4,2),(4,31),(4,32),(5,3),(5,23),(5,24),(6,4),(6,23),(6,24),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,12),(22,17),(23,29),(23,31),(24,30),(24,32),(25,18),(25,19),(26,16),(26,19),(27,10),(27,20),(28,11),(28,20),(29,21),(29,22),(30,21),(30,25),(31,9),(31,22),(32,9),(32,25),(32,26)],33) [4,1,2,10,3,5,9,6,7,8]=>100100100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [2,8,6,1,5,7,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,3,5,1,7,6,4,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,3,5,4,7,1,6,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [6,4,1,5,7,8,2,3]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,8,7,1,2,5,3,6]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,6,1,4,3,5]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,1,7,3,8,2,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,8,6,4,2,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [4,1,3,5,8,2,6,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [1,8,5,7,4,6,3,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,4,7,6,8,3,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,2,8,6,5,3,4]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,7,1,6,4,2,3,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,2,7,5,1,6,3]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,8,4,6,7,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,8,5,1,4,2,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [1,7,6,2,5,3,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,7,5,2,4,3,8,6]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,8,5,1,4,3,6,7]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [9,7,6,5,4,3,2,8,1]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [3,1,4,6,2,5,8,7,9]=>10010010=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [1,3,2,5,7,4,6,9,8]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,6,3,5,4,8,2,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,9,8,5,6,7,4,3,2]=>01100111=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [1,10,9,8,5,6,7,4,3,2]=>011100111=>([(0,4),(0,5),(1,28),(1,29),(2,3),(2,30),(2,31),(3,22),(3,23),(4,1),(4,24),(4,25),(5,2),(5,24),(5,25),(7,11),(8,12),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,26),(15,27),(16,11),(16,26),(17,12),(17,27),(18,13),(18,14),(19,15),(19,16),(20,15),(20,17),(21,7),(21,16),(22,8),(22,17),(23,7),(23,8),(24,28),(24,30),(25,29),(25,31),(26,9),(26,18),(27,10),(27,18),(28,19),(28,21),(29,19),(29,20),(30,21),(30,23),(31,20),(31,22)],32) [1,9,8,5,4,6,7,3,2]=>01110011=>([(0,4),(0,5),(1,23),(1,25),(2,3),(2,24),(2,26),(3,8),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,13),(15,14),(16,12),(16,21),(17,21),(17,22),(18,11),(18,22),(19,23),(19,24),(20,25),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,17),(24,18),(25,7),(25,16),(26,7),(26,8)],27) [1,10,9,5,6,7,8,4,3,2]=>011000111=>([(0,5),(0,6),(1,17),(2,4),(2,30),(2,31),(3,1),(3,32),(3,33),(4,22),(4,23),(5,2),(5,24),(5,25),(6,3),(6,24),(6,25),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,15),(21,16),(22,18),(22,27),(23,18),(23,28),(24,30),(24,32),(25,31),(25,33),(26,8),(26,28),(27,13),(27,19),(28,14),(28,20),(29,12),(29,27),(30,22),(30,29),(31,23),(31,26),(32,9),(32,29),(33,9),(33,17),(33,26)],34) [1,9,5,4,6,7,8,3,2]=>01100011=>([(0,4),(0,5),(1,24),(1,26),(2,3),(2,23),(2,25),(3,17),(3,18),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,12),(16,22),(17,21),(17,22),(18,11),(18,21),(19,25),(19,26),(20,23),(20,24),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,7),(24,16),(25,8),(25,18),(26,7),(26,8)],27) [1,10,4,5,6,7,8,9,3,2]=>010000011=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [3,1,2,5,7,6,8,4]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,1,7,3,2,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,7,2,3,5,1,6,8]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [4,8,2,3,7,5,1,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,7,2,4,3,5,6,1]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,6,2,4,3,5,1,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [8,1,2,4,7,3,5,6]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [7,6,2,8,4,5,1,3]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,8,1,5,7,3,2,4]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,7,5,6,8,2,3]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,7,6,2,1,4,5,8]=>0111000=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [1,6,8,7,2,5,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,8,7,6,3,5,2]=>0011101=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,2,3,4,7,5,6,9,8]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,1,8,4,5,2,7,6]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,3,7,6,1,8,4,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,8,5,2,1,3,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [5,8,4,2,1,3,7,6]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [9,8,7,6,5,3,1,4,2]=>11111101=>([(0,6),(0,7),(1,3),(1,16),(2,15),(3,4),(3,18),(4,5),(4,20),(5,2),(5,19),(6,14),(6,17),(7,1),(7,14),(7,17),(9,10),(10,11),(11,12),(12,13),(13,8),(14,9),(15,8),(16,10),(16,18),(17,9),(17,16),(18,11),(18,20),(19,13),(19,15),(20,12),(20,19)],21) [9,8,7,6,4,1,5,3,2]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,8,6,1,7,5,4,3,2]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [9,7,1,8,6,5,4,3,2]=>11011111=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [4,6,7,5,2,3,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,2,5,3,1,8,7,4]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,2,5,3,8,7,1,4]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,4,5,3,8,7,1,2]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,4,5,8,7,3,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,7,5,2,3,1,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,7,4,5,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,7,5,3,1,6]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,2,6,7,5,3,1,4]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,4,6,7,5,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,4,5,8,7,3,1,2]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,2,8,7,5,3,1,4]=>1011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,6,5,3,8,7,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,7,2,4,5,3,1,8]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,8,7,4,5,3,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,8,4,7,5,3,1,6]=>0101110=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [5,8,7,4,6,3,1,2]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,5,8,4,7,2,1,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,8,6,2,5,7,1,3]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,6,2,5,7,3,4]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,8,1,2,4,7,3,5]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [8,1,5,3,2,7,4,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,3,7,6,2,5,4,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,2,7,4,5,6,8,9,3]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,3,1,2,6,7,8,9,10,4]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [7,3,4,5,1,2,8,9,10,6]=>100100001=>([(0,4),(0,5),(1,3),(1,29),(1,30),(2,15),(2,27),(3,2),(3,16),(3,28),(4,21),(4,22),(5,1),(5,21),(5,22),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,15),(17,23),(17,24),(18,12),(18,25),(19,25),(19,26),(20,13),(20,14),(21,17),(21,29),(22,17),(22,30),(23,18),(23,19),(24,11),(24,18),(25,9),(25,20),(26,10),(26,20),(27,7),(27,26),(28,19),(28,27),(29,8),(29,23),(29,28),(30,8),(30,16),(30,24)],31) [8,3,4,5,6,1,2,9,10,7]=>100010001=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,12),(18,24),(19,23),(19,25),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [1,2,3,4,7,8,5,6,9]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [1,2,3,4,6,5,8,7,9]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,2,3,4,8,9,5,6,7]=>00000100=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [4,6,1,3,5,8,2,7]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [4,5,1,3,8,7,2,6]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,2,7,1,8,3,4,5]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [6,4,5,8,1,7,2,3]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,8,5,1,4,7,3]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [2,4,7,6,1,8,3,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,1,7,8,9,3,4,5,6]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,6,7,8,9,10,1,3,4,5]=>000001000=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [9,7,5,3,8,6,4,2,1]=>11101111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [10,8,9,7,6,5,4,3,2,1]=>101111111=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [7,4,5,8,6,3,2,1]=>1001111=>([(0,5),(0,6),(1,3),(1,15),(2,14),(3,2),(3,20),(4,8),(4,16),(5,1),(5,13),(5,19),(6,4),(6,13),(6,19),(8,9),(9,10),(10,11),(11,7),(12,7),(13,8),(14,12),(15,18),(15,20),(16,9),(16,18),(17,11),(17,12),(18,10),(18,17),(19,15),(19,16),(20,14),(20,17)],21) [8,6,9,7,4,3,2,1,5]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,6,3,2,1,4,9,7,5]=>11110011=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [8,6,4,9,7,5,2,1,3]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [10,8,6,4,9,7,5,3,2,1]=>111011111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [9,7,5,3,8,6,4,1,2]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [10,8,6,4,2,1,9,7,5,3]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [9,6,7,8,5,4,3,2,1]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [10,8,9,6,5,4,3,2,1,7]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,5,6,9,7,4,3,2,1]=>10011111=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [9,7,10,8,5,4,3,2,1,6]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [8,6,3,2,1,9,7,4,5]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,7,8,4,3,2,1,5,6]=>10111100=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,7,4,3,2,1,5,10,8,6]=>111110011=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,1),(3,23),(4,29),(4,30),(5,3),(5,17),(5,31),(6,4),(6,24),(6,25),(7,5),(7,24),(7,25),(9,12),(10,13),(11,15),(12,16),(13,14),(14,11),(15,8),(16,8),(17,10),(18,14),(18,26),(19,26),(19,27),(20,15),(20,16),(21,18),(21,19),(22,13),(22,18),(23,19),(23,28),(24,30),(24,31),(25,17),(25,29),(26,11),(26,20),(27,12),(27,20),(28,9),(28,27),(29,10),(29,22),(30,21),(30,22),(31,21),(31,23)],32) [8,6,3,4,9,7,5,2,1]=>11001111=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [8,6,9,7,3,2,1,4,5]=>10111100=>([(0,5),(0,6),(1,17),(2,4),(2,20),(2,21),(3,23),(3,24),(4,3),(4,22),(4,25),(5,2),(5,19),(5,26),(6,1),(6,19),(6,26),(8,10),(9,11),(10,15),(11,16),(12,9),(13,8),(14,12),(15,7),(16,7),(17,13),(18,15),(18,16),(19,14),(19,21),(20,13),(20,25),(21,12),(21,22),(22,9),(22,23),(23,11),(23,18),(24,10),(24,18),(25,8),(25,24),(26,14),(26,17),(26,20)],27) [9,7,5,10,8,6,3,2,1,4]=>110111110=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [9,7,5,2,3,8,6,4,1]=>11100111=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,25),(2,26),(3,7),(3,8),(4,1),(4,19),(4,20),(5,2),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,13),(15,14),(16,21),(16,22),(17,11),(17,21),(18,12),(18,22),(19,23),(19,25),(20,24),(20,26),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,18),(25,8),(25,17),(26,7),(26,18)],27) [8,6,2,1,3,4,9,7,5]=>11100011=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28) [10,8,6,4,9,7,5,2,1,3]=>111011110=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [8,6,4,9,7,5,1,2,3]=>11011100=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [10,8,6,4,1,2,9,7,5,3]=>111100111=>([(0,5),(0,6),(1,16),(2,29),(2,30),(3,4),(3,31),(3,32),(4,1),(4,9),(4,24),(5,2),(5,25),(5,26),(6,3),(6,25),(6,26),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,8),(19,28),(20,14),(20,15),(21,17),(21,18),(22,18),(22,19),(23,12),(23,17),(24,16),(24,19),(25,30),(25,31),(26,29),(26,32),(27,10),(27,20),(28,11),(28,20),(29,21),(29,23),(30,21),(30,22),(31,22),(31,24),(32,9),(32,23)],33) [2,5,1,6,3,7,4,8,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [2,6,1,7,3,8,4,9,5]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,4,6,1,7,2,8,5,9]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [3,2,6,1,7,4,8,5,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,5,6,1,7,3,8,9]=>10010100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [3,4,2,6,1,7,5,8,9]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,5,7,1,8,3,9,6]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [3,4,2,7,1,8,5,9,6]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [5,3,6,4,7,1,8,2,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [3,5,2,6,7,1,8,4,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [4,3,5,2,7,1,8,6,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,6,2,7,5,8,1,9,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,3,6,2,7,8,1,9,5]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [4,5,3,6,2,8,1,9,7]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [2,5,1,6,3,7,4,8,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [3,4,5,1,6,2,7,8,9,10]=>001010000=>([(0,4),(0,5),(1,2),(1,28),(2,7),(3,1),(3,8),(3,23),(4,29),(4,30),(5,3),(5,29),(5,30),(7,13),(8,14),(9,15),(10,16),(11,12),(12,9),(13,10),(14,11),(15,6),(16,6),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,15),(20,16),(21,17),(21,26),(22,17),(22,25),(23,21),(23,28),(24,22),(24,27),(25,12),(25,19),(26,13),(26,18),(27,11),(27,25),(28,7),(28,26),(29,23),(29,24),(29,31),(30,8),(30,24),(30,31),(31,14),(31,21),(31,22),(31,27)],32) [2,6,1,7,3,8,4,9,5,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,4,6,1,7,2,8,5,9,10]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [3,2,6,1,7,4,8,5,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [4,2,5,6,1,7,3,8,9,10]=>100101000=>([(0,3),(0,4),(1,15),(2,1),(2,23),(2,28),(3,29),(3,30),(4,2),(4,29),(4,30),(6,12),(7,10),(8,13),(9,14),(10,11),(11,8),(12,9),(13,5),(14,5),(15,6),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,13),(19,14),(20,16),(20,25),(21,16),(21,26),(22,6),(22,25),(23,7),(23,27),(24,20),(24,21),(25,12),(25,17),(26,11),(26,18),(27,10),(27,26),(28,7),(28,15),(28,22),(29,23),(29,24),(29,31),(30,24),(30,28),(30,31),(31,20),(31,21),(31,22),(31,27)],32) [3,4,2,6,1,7,5,8,9,10]=>010101000=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [3,2,7,1,8,4,9,5,10,6]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,5,6,7,1,8,2,9,3,10]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [3,4,2,7,1,8,5,9,6,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,3,6,4,7,1,8,2,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [3,5,2,6,7,1,8,4,9,10]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,3,5,2,7,1,8,6,9,10]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [5,2,6,7,8,1,9,3,10,4]=>100010101=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [5,3,6,4,8,1,9,2,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [3,5,2,6,8,1,9,4,10,7]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [4,3,5,2,8,1,9,6,10,7]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,6,2,7,5,8,1,9,3,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,3,6,2,7,8,1,9,5,10]=>101001010=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [4,5,3,6,2,8,1,9,7,10]=>010101010=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [5,3,7,2,8,6,9,1,10,4]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,5,3,7,2,8,9,1,10,6]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [5,4,6,3,7,2,9,1,10,8]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [7,6,5,9,4,3,2,1,8]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,6,5,4,3,9,2,1,8]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,9,8,5,4,3,2,1,6]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [8,7,10,6,5,4,3,2,1,9]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,6,9,8,4,3,2,1,5]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,7,6,10,5,4,3,2,1,9]=>110111110=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [7,6,5,9,8,3,2,1,4]=>11011110=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [7,6,5,4,9,8,2,1,3]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [8,7,6,5,4,10,3,2,1,9]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [7,6,5,4,3,9,8,1,2]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [8,7,6,5,4,3,10,2,1,9]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [9,8,7,6,5,2,3,4,1]=>11111001=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [6,1,7,8,9,2,3,4,5]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,5,6,7,1,9,2,3,8]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [3,5,6,7,9,1,2,4,8]=>00001000=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,1,6,7,8,2,9,3,4]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [4,1,6,7,8,9,2,3,5]=>10000100=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,1,6,7,8,9,10,2,3,4]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [7,4,1,3,6,8,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,8,1,2,7,3,4,5]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,6,2,8,7,3,4,5]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,6,8,5,7,4,3,2]=>0010111=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [3,8,1,2,4,7,6,5]=>0100011=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,4,5,7,3,6,8,2]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,3,8,1,4,6,5,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,6,2,4,7,5,8,1]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,4,6,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [4,2,7,3,5,8,1,6]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,8,4,5,6,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,7,8,6,3,1,5]=>1001110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [7,1,4,2,8,6,3,5]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,7,4,8,1,6,5]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,5,8,7,4,2]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,4,6,3,5,1,7,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,3,2,6,8,4,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,5,7,1,6,8,3]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,4,2,6,7,3,5,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,5,7,8,6,2,3]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [6,1,4,8,2,3,7,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,6,2,3,5,8,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [2,8,5,7,6,3,4,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [2,5,7,8,6,4,1,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [7,4,1,6,2,5,8,3]=>1101001=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [8,7,4,6,2,5,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [1,7,5,4,6,2,3,8]=>0110100=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [6,2,7,5,3,1,4,8]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [6,1,7,4,8,5,2,3]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [8,2,4,6,3,1,7,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,2,4,8,7,3,1]=>0100111=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [8,5,6,2,3,7,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,8,1,4,5,6,2,3]=>0100010=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,7,8,9,1,3,4,2]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [6,7,8,9,1,3,4,5,2]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [6,7,8,9,1,4,5,2,3]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [6,7,8,9,1,4,5,3,2]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [6,7,8,9,1,5,4,3,2]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [7,8,9,1,4,5,6,2,3]=>00100010=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [7,8,9,1,4,5,6,3,2]=>00100011=>([(0,4),(0,5),(1,15),(2,3),(2,24),(2,26),(3,16),(3,17),(4,1),(4,18),(4,25),(5,2),(5,18),(5,25),(7,9),(8,10),(9,11),(10,14),(11,13),(12,8),(13,6),(14,6),(15,7),(16,9),(16,21),(17,21),(17,22),(18,20),(18,24),(19,8),(19,22),(20,12),(20,19),(21,11),(21,23),(22,10),(22,23),(23,13),(23,14),(24,17),(24,19),(25,15),(25,20),(25,26),(26,7),(26,12),(26,16)],27) [7,8,9,1,5,6,3,4,2]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [7,8,9,1,5,6,4,3,2]=>00100111=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [7,8,9,1,6,5,4,3,2]=>00101111=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [8,9,1,5,6,7,3,4,2]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [8,9,1,5,6,7,4,3,2]=>01000111=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [8,9,1,6,7,4,5,2,3]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,9,1,6,7,4,5,3,2]=>01001011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [8,9,1,6,7,5,4,3,2]=>01001111=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [9,1,7,8,5,6,3,4,2]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [9,1,7,8,5,6,4,3,2]=>10010111=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [5,6,7,8,9,10,1,3,4,2]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [5,6,7,8,9,10,1,4,3,2]=>000001011=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [7,8,9,10,1,4,5,6,2,3]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [7,8,9,10,1,4,5,6,3,2]=>000100011=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [7,8,9,10,1,5,6,4,3,2]=>000100111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [7,8,9,10,1,6,5,4,3,2]=>000101111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [8,9,10,1,4,5,6,7,2,3]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [8,9,10,1,4,5,6,7,3,2]=>001000011=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [8,9,10,1,5,6,7,2,3,4]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [8,9,10,1,5,6,7,4,3,2]=>001000111=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,33),(4,22),(4,23),(5,1),(5,24),(5,32),(6,3),(6,24),(6,32),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,19),(18,20),(19,10),(19,21),(20,11),(20,21),(21,16),(21,17),(22,18),(22,27),(23,18),(23,26),(24,25),(24,31),(25,9),(25,29),(26,13),(26,19),(27,14),(27,20),(28,15),(28,27),(29,12),(29,26),(30,8),(30,28),(31,23),(31,29),(32,25),(32,30),(32,33),(33,9),(33,22),(33,28)],34) [8,9,10,1,6,7,4,5,2,3]=>001001010=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [8,9,10,1,6,7,4,5,3,2]=>001001011=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [8,9,10,1,6,7,5,4,3,2]=>001001111=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [8,9,10,1,7,6,5,4,3,2]=>001011111=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [9,10,1,6,7,8,3,4,5,2]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [9,10,1,6,7,8,4,5,2,3]=>010001010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [9,10,1,6,7,8,4,5,3,2]=>010001011=>([(0,4),(0,5),(1,17),(2,3),(2,29),(2,30),(3,22),(3,27),(4,1),(4,31),(4,33),(5,2),(5,31),(5,33),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,7),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,28),(25,12),(25,19),(26,13),(26,20),(27,11),(27,25),(28,14),(28,26),(29,22),(29,23),(30,8),(30,27),(31,24),(31,30),(31,32),(32,8),(32,23),(32,28),(33,17),(33,24),(33,29),(33,32)],34) [9,10,1,6,7,8,5,4,3,2]=>010001111=>([(0,6),(0,7),(1,3),(1,27),(2,18),(3,2),(3,30),(4,5),(4,31),(4,32),(5,25),(5,29),(6,1),(6,26),(6,33),(7,4),(7,26),(7,33),(9,12),(10,14),(11,17),(12,16),(13,15),(14,13),(15,11),(16,8),(17,8),(18,9),(19,12),(19,22),(20,19),(20,21),(21,11),(21,22),(22,16),(22,17),(23,9),(23,19),(24,20),(24,23),(25,20),(25,28),(26,10),(26,32),(27,24),(27,30),(28,15),(28,21),(29,13),(29,28),(30,18),(30,23),(31,24),(31,25),(32,14),(32,29),(33,10),(33,27),(33,31)],34) [9,10,1,7,8,5,6,3,4,2]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [9,10,1,7,8,5,6,4,3,2]=>010010111=>([(0,4),(0,5),(1,16),(2,1),(2,24),(3,22),(3,25),(4,2),(4,32),(4,33),(5,3),(5,32),(5,33),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,18),(17,19),(18,10),(18,21),(19,9),(19,21),(20,7),(20,28),(21,14),(21,15),(22,8),(22,29),(23,20),(23,27),(24,16),(24,20),(25,26),(25,29),(26,17),(26,30),(27,17),(27,28),(28,13),(28,18),(29,11),(29,30),(30,12),(30,19),(31,8),(31,26),(31,27),(32,22),(32,23),(32,31),(33,23),(33,24),(33,25),(33,31)],34) [9,10,1,7,8,6,5,4,3,2]=>010011111=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [10,1,8,9,6,7,4,5,3,2]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [10,1,8,9,6,7,5,4,3,2]=>100101111=>([(0,5),(0,6),(1,3),(1,25),(2,17),(3,2),(3,31),(4,9),(4,30),(5,1),(5,32),(5,33),(6,4),(6,32),(6,33),(8,11),(9,12),(10,16),(11,15),(12,13),(13,14),(14,10),(15,7),(16,7),(17,8),(18,19),(18,22),(19,11),(19,23),(20,18),(20,29),(21,18),(21,24),(22,10),(22,23),(23,15),(23,16),(24,8),(24,19),(25,21),(25,31),(26,20),(26,21),(27,20),(27,28),(28,13),(28,29),(29,14),(29,22),(30,12),(30,28),(31,17),(31,24),(32,9),(32,26),(32,27),(33,25),(33,26),(33,27),(33,30)],34) [10,1,8,9,7,6,5,4,3,2]=>100111111=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [7,4,8,3,5,6,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,6,1,4,7,5,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,1,5,7,2,6,8,4]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [3,1,7,5,2,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,2,7,5,1,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,2,7,3,1,6,8,4]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,7,2,1,3,4,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [4,6,3,1,2,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,3,4,5,7,9,6,8,1]=>00000101=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [2,3,4,6,9,5,7,8,1]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,5,6,8,4,7,1]=>0000101=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [2,3,5,9,4,6,7,8,1]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,4,5,8,3,6,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [2,4,9,3,5,6,7,8,1]=>00100001=>([(0,4),(0,5),(1,3),(1,18),(1,22),(2,14),(2,24),(3,2),(3,13),(3,23),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,14),(14,7),(15,9),(15,17),(16,11),(16,12),(17,10),(17,16),(18,15),(18,23),(19,21),(19,22),(20,18),(20,21),(21,8),(21,15),(22,8),(22,13),(23,17),(23,24),(24,7),(24,16)],25) [5,9,8,7,6,4,3,1,2]=>01111110=>([(0,6),(0,7),(1,5),(1,9),(1,10),(2,19),(2,20),(3,4),(3,13),(3,14),(4,2),(4,15),(4,16),(5,3),(5,17),(5,18),(6,11),(6,12),(7,1),(7,11),(7,12),(9,18),(10,17),(11,10),(12,9),(13,15),(14,16),(15,19),(16,20),(17,13),(18,14),(19,8),(20,8)],21) [5,4,8,7,6,3,2,1,9]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [4,5,8,7,6,3,1,2]=>0011110=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [6,5,9,8,7,4,3,1,2]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,7,4,6,5,3,1,2]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [9,5,8,7,6,4,3,1,2]=>10111110=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,10,9,8,7,5,4,3,1,2]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [8,1,4,3,6,2,5,7]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,6,3,7,8,4,2,5]=>0100110=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,3,8,4,6,7,2,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,3,5,8,6,7,2,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [3,2,7,8,5,6,4,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,7,3,8,5,6,2,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,4,8,5,6,3,2]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,3,8,7,2,5,6,1]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [1,7,3,8,6,4,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [7,4,2,8,5,6,3,1]=>1101011=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [3,4,8,2,6,7,5,1]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,6,3,8,7,4,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,5,8,7,6,2,3]=>0001110=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [5,2,1,3,8,4,6,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,3,5,8,2,6,7]=>0100100=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,1,3,8,6,4,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,3,6,4,5,8,2,7]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [6,1,4,3,5,8,2,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,1,3,8,2,4,7]=>1100100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [1,4,3,8,6,2,5,7]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,1,3,8,6,2,5,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,1,5,4,6,3,8,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [8,9,7,6,5,4,3,2,10,1]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,6,8,5,4,3,2,9,1]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [6,8,7,5,4,3,2,9,1]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [6,4,7,8,3,5,1,2]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [3,5,6,7,1,8,4,2]=>0001011=>([(0,4),(0,5),(1,13),(2,3),(2,20),(3,7),(4,1),(4,19),(4,21),(5,2),(5,19),(5,21),(7,9),(8,11),(9,12),(10,8),(11,6),(12,6),(13,10),(14,10),(14,17),(15,16),(15,17),(16,9),(16,18),(17,8),(17,18),(18,11),(18,12),(19,14),(19,15),(20,7),(20,16),(21,13),(21,14),(21,15),(21,20)],22) [2,7,8,3,6,1,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,3,6,2,5,4]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,4,3,5,8,1,6,2]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,3,6,4,1,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,8,4,3,6,1,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,1,6,4,3,8,5,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [8,7,3,4,1,5,2,6]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,2,6,4,3,8,5,1]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [1,7,5,4,3,8,2,6]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [4,5,8,1,7,3,2,6]=>0010110=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [4,6,7,1,3,8,2,5]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [2,3,4,5,6,1,8,9,7]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [2,3,4,5,1,7,8,9,6]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [2,6,3,1,4,7,8,5]=>0110001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [2,9,3,4,5,6,1,7,8]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [2,3,4,5,6,7,1,9,10,8]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [2,7,3,4,1,8,5,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [2,8,3,4,5,1,6,9,7]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [2,7,3,4,1,5,8,9,6]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [2,3,4,5,1,7,8,9,10,6]=>000100001=>([(0,4),(0,5),(1,3),(1,21),(1,22),(2,14),(2,28),(3,2),(3,27),(3,29),(4,23),(4,24),(5,1),(5,23),(5,24),(7,11),(8,9),(9,12),(10,13),(11,10),(12,6),(13,6),(14,8),(15,17),(15,20),(16,15),(16,18),(17,11),(17,25),(18,7),(18,17),(19,12),(19,13),(20,25),(20,26),(21,18),(21,29),(22,15),(22,27),(23,16),(23,22),(24,16),(24,21),(25,10),(25,19),(26,9),(26,19),(27,20),(27,28),(28,8),(28,26),(29,7),(29,14)],30) [2,6,3,1,4,7,8,9,5]=>01100001=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [2,3,1,5,6,7,8,9,10,4]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [7,5,8,2,4,3,1,6]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [2,3,7,8,1,4,6,5]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [8,2,3,5,4,1,7,6]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,1,3,8,2,4,6,5]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [7,2,3,6,4,1,8,5]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,5,2,4,1,8,3,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,7,2,4,1,3,8,6]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,2,5,4,1,8,3,7]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,5,3,7,6,9,8,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,6,3,7,5,9,8,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,6,3,8,5,9,7,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,6,3,8,5,1,7,9]=>10101100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [4,2,6,3,5,8,1,7]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,2,6,3,8,5,7,1,9]=>10101010=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [4,2,6,3,5,8,7,1,9]=>10100110=>([(0,3),(0,4),(1,23),(1,25),(2,15),(2,24),(3,1),(3,26),(3,27),(4,2),(4,26),(4,27),(6,10),(7,8),(8,9),(9,11),(10,12),(11,14),(12,13),(13,5),(14,5),(15,6),(16,20),(16,21),(17,10),(17,20),(18,8),(18,19),(19,9),(19,21),(20,12),(20,22),(21,11),(21,22),(22,13),(22,14),(23,16),(23,19),(24,6),(24,17),(25,16),(25,17),(26,7),(26,18),(26,24),(26,25),(27,7),(27,15),(27,18),(27,23)],28) [4,2,3,6,5,8,7,1,9]=>10010110=>([(0,3),(0,4),(1,15),(1,25),(2,14),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,8),(7,9),(8,10),(9,11),(10,12),(11,13),(12,5),(13,5),(14,6),(15,7),(16,18),(16,23),(17,19),(17,23),(18,8),(18,21),(19,9),(19,22),(20,12),(20,13),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,6),(24,18),(25,7),(25,19),(26,16),(26,17),(26,24),(26,25),(27,14),(27,15),(27,16),(27,17)],28) [4,2,5,3,7,6,9,8,1,10]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [5,2,6,3,7,4,9,8,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,6,3,7,5,9,8,1,10]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [4,2,7,3,8,5,9,6,1]=>10101011=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [4,2,6,3,8,5,9,7,1,10]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [4,2,6,3,9,5,1,7,8]=>10101100=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [4,2,6,3,8,5,10,7,1,9]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [4,2,6,3,8,5,7,9,1]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,2,6,3,8,5,10,7,9,1]=>101010101=>([(0,1),(0,2),(1,16),(1,17),(2,16),(2,17),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,14),(10,15),(11,14),(11,15),(12,8),(12,9),(13,8),(13,9),(14,4),(14,5),(15,4),(15,5),(16,12),(16,13),(17,12),(17,13)],18) [4,2,6,3,5,8,1,7,9]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [4,2,6,3,8,5,7,10,9,1]=>101010011=>([(0,3),(0,4),(1,15),(2,19),(2,21),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,25),(20,24),(20,29),(21,6),(21,25),(22,23),(22,26),(23,16),(23,17),(24,7),(24,27),(25,12),(25,26),(26,11),(26,17),(27,10),(27,16),(28,22),(28,24),(28,29),(29,7),(29,23),(29,27),(30,19),(30,20),(30,28),(31,15),(31,20),(31,21),(31,28)],32) [4,2,3,6,8,5,7,1,9]=>10001010=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [4,2,6,3,5,8,7,10,9,1]=>101001011=>([(0,3),(0,4),(1,16),(2,22),(2,23),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,19),(17,20),(18,17),(18,25),(19,8),(19,21),(20,9),(20,21),(21,14),(21,15),(22,18),(22,24),(23,18),(23,27),(24,17),(24,26),(25,11),(25,19),(26,12),(26,20),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,23),(30,29),(30,31),(31,7),(31,24),(31,27),(31,28),(32,16),(32,22),(32,29),(32,31)],33) [2,4,6,3,5,8,7,1,9]=>00100110=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [4,2,3,6,5,8,7,10,9,1]=>100101011=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [7,4,2,6,8,5,3,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [8,5,2,4,6,3,1,7]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,4,1,2,8,5,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,4,1,8,5,2,3,7]=>1101100=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [8,4,1,6,3,5,2,7]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,3,4,1,6,8,5,2]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [8,6,2,3,5,7,4,1]=>1100011=>([(0,4),(0,5),(1,13),(1,14),(2,3),(2,20),(2,21),(3,15),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,10),(8,9),(9,11),(10,12),(11,6),(12,6),(13,8),(14,7),(15,9),(15,19),(16,10),(16,19),(17,13),(17,20),(18,14),(18,21),(19,11),(19,12),(20,8),(20,15),(21,7),(21,16)],22) [8,6,2,5,7,3,4,1]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [6,3,4,8,5,1,2,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [8,5,1,2,7,4,6,3]=>1100101=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [7,2,6,8,3,4,5,1]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,6,7,5,4,8,2,3]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,8,5,4,2,6,3,7]=>0111010=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,4,5,6,9,2,1,8,7]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [3,4,5,8,2,9,1,7,6]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [3,4,7,2,8,9,1,5,6]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,6,2,7,8,9,1,5,4]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [5,2,6,7,8,9,1,4,3]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [3,4,5,6,9,1,7,8,2]=>00001001=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,4,5,6,7,10,2,1,9,8]=>000001101=>([(0,6),(0,7),(1,4),(1,23),(2,17),(3,2),(3,30),(4,3),(4,29),(5,24),(5,27),(6,1),(6,28),(6,31),(7,5),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,29),(24,18),(24,25),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,10),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24)],32) [3,4,5,8,9,6,1,7,2]=>00001101=>([(0,5),(0,6),(1,3),(1,20),(2,15),(3,2),(3,25),(4,21),(4,23),(5,1),(5,24),(5,26),(6,4),(6,24),(6,26),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,19),(17,10),(17,18),(18,13),(18,14),(19,8),(19,18),(20,16),(20,25),(21,16),(21,22),(22,11),(22,17),(23,12),(23,22),(24,9),(24,23),(25,15),(25,19),(26,9),(26,20),(26,21)],27) [3,4,5,6,9,2,10,1,8,7]=>000010101=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [3,4,7,8,5,9,1,2,6]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [3,4,5,9,2,6,1,8,7]=>00010101=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [3,4,5,8,2,9,10,1,6,7]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [3,6,7,4,8,9,1,5,2]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [3,4,8,2,5,9,1,7,6]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [3,4,7,2,8,9,10,1,6,5]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [5,6,3,7,8,9,1,4,2]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,7,2,4,8,9,1,5,6]=>01000100=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,16),(2,20),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,19),(12,21),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,20),(22,21),(23,16),(23,19)],24) [3,6,2,7,8,9,10,1,5,4]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [6,2,3,7,8,9,1,5,4]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [5,2,6,7,8,9,10,1,3,4]=>100000100=>([(0,5),(0,6),(1,4),(1,21),(1,22),(2,16),(2,28),(3,2),(3,17),(3,29),(4,3),(4,15),(4,27),(5,23),(5,24),(6,1),(6,23),(6,24),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,17),(16,8),(17,16),(18,9),(18,25),(19,10),(19,20),(20,13),(20,14),(21,25),(21,27),(22,9),(22,15),(23,18),(23,22),(24,18),(24,21),(25,12),(25,26),(26,11),(26,19),(27,26),(27,29),(28,8),(28,20),(29,19),(29,28)],30) [8,9,7,6,5,4,1,3,2]=>01111101=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [8,7,9,6,5,4,1,3,2]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,7,8,6,5,4,1,3,2]=>10111101=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [9,10,8,7,6,5,4,1,3,2]=>011111101=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [10,8,7,6,5,4,3,2,9,1]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [5,7,3,6,2,1,4,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,2,4,5,6,9,7,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [2,3,1,4,5,6,9,7,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [5,8,6,1,2,4,3,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [4,1,5,7,3,6,8,2]=>1001001=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [1,4,5,7,6,8,2,3]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [5,7,2,1,6,8,4,3]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [2,6,3,1,7,8,5,4]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,2,5,7,4,1,8,3]=>1001101=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,6,1,8,7,4,5,2]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,3,9,5,6,7,8,2,1]=>10100011=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [10,2,3,4,5,6,7,8,9,11,1]=>1000000001=>([(0,8),(0,9),(1,7),(1,11),(1,12),(2,25),(2,26),(3,4),(3,15),(3,16),(4,6),(4,17),(4,18),(5,3),(5,19),(5,20),(6,2),(6,21),(6,22),(7,5),(7,23),(7,24),(8,13),(8,14),(9,1),(9,13),(9,14),(11,24),(12,23),(13,12),(14,11),(15,17),(16,18),(17,21),(18,22),(19,15),(20,16),(21,25),(22,26),(23,19),(24,20),(25,10),(26,10)],27) [2,9,4,5,6,7,8,1,10,3]=>010000101=>([(0,4),(0,5),(1,3),(1,19),(1,20),(2,25),(2,26),(3,2),(3,27),(3,28),(4,30),(4,31),(5,1),(5,30),(5,31),(7,9),(8,13),(9,15),(10,8),(11,14),(12,7),(13,11),(14,17),(15,16),(16,6),(17,6),(18,15),(18,24),(19,12),(19,28),(20,21),(20,27),(21,13),(21,22),(22,11),(22,23),(23,14),(23,24),(24,16),(24,17),(25,9),(25,18),(26,18),(26,23),(27,22),(27,26),(28,7),(28,25),(29,8),(29,12),(29,21),(30,10),(30,19),(30,29),(31,10),(31,20),(31,29)],32) [3,2,8,5,6,7,1,9,4]=>10100101=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,20),(13,21),(14,11),(14,12),(15,9),(15,20),(16,10),(16,21),(17,13),(17,15),(18,13),(18,16),(19,5),(19,6),(20,7),(20,14),(21,8),(21,14),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [7,8,4,5,6,1,3,9,2]=>01001001=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,7),(6,8),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,11),(14,9),(14,10),(15,10),(15,11),(16,5),(16,12),(17,6),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [3,4,1,9,6,7,8,2,5]=>01010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [4,8,9,5,6,7,2,1,3]=>00100110=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [4,3,10,5,6,7,8,9,2,1]=>101000011=>([(0,5),(0,6),(1,19),(2,4),(2,21),(2,22),(3,28),(3,29),(4,3),(4,30),(4,31),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,9),(9,15),(10,11),(11,12),(12,13),(13,14),(14,18),(15,17),(16,8),(17,7),(18,7),(19,16),(20,15),(20,27),(21,16),(21,31),(22,26),(22,30),(23,11),(23,26),(24,13),(24,25),(25,14),(25,27),(26,12),(26,24),(27,17),(27,18),(28,9),(28,20),(29,20),(29,25),(30,24),(30,29),(31,8),(31,28),(32,10),(32,22),(32,23),(33,10),(33,19),(33,21),(33,23)],34) [3,2,9,5,6,7,8,1,10,4]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [8,9,4,5,6,7,1,3,10,2]=>010001001=>([(0,3),(0,4),(1,2),(1,28),(1,29),(2,23),(2,24),(3,20),(3,21),(4,1),(4,20),(4,21),(6,11),(7,12),(8,13),(9,14),(10,8),(11,9),(12,10),(13,5),(14,5),(15,16),(15,17),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,22),(19,27),(20,19),(20,28),(21,19),(21,29),(22,15),(22,26),(23,15),(23,25),(24,6),(24,25),(25,11),(25,17),(26,10),(26,16),(27,6),(27,12),(27,26),(28,7),(28,22),(28,23),(29,7),(29,24),(29,27)],30) [4,2,3,8,6,7,1,9,5]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [6,8,4,5,1,3,7,9,2]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [4,7,1,3,5,6,8,2]=>0100001=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,3,5,7,8,2,6,1]=>1000101=>([(0,3),(0,4),(1,2),(1,13),(1,18),(2,6),(2,14),(3,19),(3,20),(4,1),(4,19),(4,20),(6,10),(7,8),(8,9),(9,11),(10,12),(11,5),(12,5),(13,6),(14,10),(14,17),(15,8),(15,16),(16,9),(16,17),(17,11),(17,12),(18,14),(18,16),(19,7),(19,15),(19,18),(20,7),(20,13),(20,15)],21) [3,5,1,4,9,7,8,2,6]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,3,4,9,6,7,2,5,1]=>10010101=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [3,4,1,10,6,7,8,9,2,5]=>010100010=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,25),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,26),(23,11),(23,17),(24,12),(24,18),(25,10),(25,23),(26,13),(26,24),(27,7),(27,25),(28,20),(28,21),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,21),(31,26)],32) [4,7,9,5,6,2,1,8,3]=>00101101=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [4,9,10,5,6,7,8,2,1,3]=>001000110=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [5,3,2,7,6,4,1,8]=>1101110=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,3,7,4,6,2,1,8]=>1010110=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,2,1,8,6,4]=>0111011=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [5,7,6,3,2,1,8,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,2,7,5,4,1,8,6]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [1,7,3,5,4,2,6,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,3,7,4,1,8,6,2]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,3,5,4,1,6,8,2]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [7,5,1,6,8,3,2,4]=>1100110=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [5,3,1,7,6,8,2,4]=>1101010=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,1,5,3,2,4,8,6]=>1011001=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [8,1,2,5,3,4,6,7,9]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [7,1,5,2,4,3,6,8]=>1010100=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,9,2,3,6,4,5,7,8]=>01001000=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,1,2,3,6,4,5,7,8,10]=>100010000=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [8,1,2,6,4,3,5,7,9]=>10011000=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [8,1,2,6,3,5,4,7,9]=>10010100=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,10),(6,9),(7,11),(8,12),(9,8),(10,7),(11,4),(12,4),(13,11),(13,12),(14,10),(14,20),(15,20),(15,21),(16,9),(16,21),(17,5),(17,14),(18,5),(18,6),(19,15),(19,16),(20,7),(20,13),(21,8),(21,13),(22,17),(22,19),(22,24),(23,18),(23,19),(23,24),(24,6),(24,14),(24,15),(24,16)],25) [1,9,2,3,7,5,4,6,8]=>01001100=>([(0,3),(0,4),(1,21),(1,22),(2,23),(2,26),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,9),(15,18),(16,10),(16,19),(17,18),(17,19),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,15),(22,15),(22,17),(23,16),(23,17),(24,8),(24,21),(24,26),(25,8),(25,22),(25,23),(26,6),(26,7),(26,16)],27) [1,9,2,3,7,4,6,5,8]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [6,8,7,3,2,1,5,4]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [3,6,8,7,2,4,1,5]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [5,7,3,6,2,1,8,4]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [3,6,5,2,4,8,1,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [5,6,7,8,9,3,2,1,4]=>00001110=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [6,7,8,9,3,4,1,2,5]=>00010100=>([(0,3),(0,4),(1,14),(2,1),(2,7),(2,15),(3,23),(3,24),(4,2),(4,23),(4,24),(6,8),(7,6),(8,9),(9,12),(10,13),(11,10),(12,5),(13,5),(14,11),(15,14),(15,19),(16,17),(16,18),(17,8),(17,20),(18,20),(18,21),(19,11),(19,21),(20,9),(20,22),(21,10),(21,22),(22,12),(22,13),(23,7),(23,16),(23,25),(24,15),(24,16),(24,25),(25,6),(25,17),(25,18),(25,19)],26) [6,7,8,9,3,4,2,1,5]=>00010110=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [7,8,9,3,4,5,1,2,6]=>00100100=>([(0,2),(0,3),(1,14),(1,15),(2,19),(2,20),(3,1),(3,19),(3,20),(5,8),(6,7),(7,4),(8,4),(9,16),(9,18),(10,17),(10,18),(11,16),(11,17),(12,7),(12,8),(13,9),(13,10),(14,9),(14,11),(15,10),(15,11),(16,6),(16,12),(17,5),(17,12),(18,5),(18,6),(19,13),(19,14),(20,13),(20,15)],21) [7,8,9,3,4,5,2,1,6]=>00100110=>([(0,3),(0,4),(1,22),(1,26),(2,14),(2,23),(3,1),(3,24),(3,25),(4,2),(4,24),(4,25),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,19),(15,20),(16,8),(16,19),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,18),(23,6),(23,16),(24,17),(24,23),(24,26),(25,14),(25,17),(25,22),(26,11),(26,15),(26,16)],27) [7,8,9,4,5,2,3,1,6]=>00101010=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [7,8,9,4,5,3,2,1,6]=>00101110=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [8,9,4,5,6,2,3,1,7]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [8,9,4,5,6,3,2,1,7]=>01001110=>([(0,4),(0,5),(1,23),(1,24),(2,3),(2,16),(2,25),(3,8),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,11),(17,20),(18,20),(18,21),(19,10),(19,21),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,7),(23,17),(24,17),(24,18),(25,18),(25,19),(26,9),(26,24),(26,25),(27,9),(27,16),(27,23)],28) [8,9,5,6,3,4,1,2,7]=>01010100=>([(0,2),(0,3),(1,11),(2,16),(2,20),(3,1),(3,16),(3,20),(5,9),(6,5),(7,6),(8,10),(9,4),(10,4),(11,7),(12,14),(12,18),(13,9),(13,10),(14,15),(14,19),(15,8),(15,13),(16,12),(16,17),(17,7),(17,14),(17,18),(18,6),(18,15),(18,19),(19,5),(19,8),(19,13),(20,11),(20,12),(20,17)],21) [8,9,5,6,3,4,2,1,7]=>01010110=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [8,9,5,6,4,3,2,1,7]=>01011110=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [9,6,7,4,5,3,2,1,8]=>10101110=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [5,6,7,8,9,10,3,2,1,4]=>000001110=>([(0,7),(0,8),(1,4),(1,26),(2,19),(3,2),(3,31),(4,3),(4,30),(5,6),(5,18),(5,29),(6,10),(6,24),(7,1),(7,12),(7,27),(8,5),(8,12),(8,27),(10,13),(11,17),(12,18),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,11),(20,14),(20,21),(21,15),(21,22),(22,16),(22,17),(23,20),(23,25),(24,13),(24,20),(25,21),(25,28),(26,23),(26,30),(27,26),(27,29),(28,11),(28,22),(29,23),(29,24),(30,25),(30,31),(31,19),(31,28)],32) [7,8,9,10,3,4,5,1,2,6]=>000100100=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [7,8,9,10,3,4,5,2,1,6]=>000100110=>([(0,4),(0,5),(1,16),(2,17),(2,29),(3,1),(3,30),(3,33),(4,2),(4,31),(4,32),(5,3),(5,31),(5,32),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,7),(17,8),(18,19),(18,20),(19,9),(19,21),(20,10),(20,21),(21,14),(21,15),(22,18),(22,27),(23,7),(23,27),(24,18),(24,26),(25,22),(25,23),(26,12),(26,19),(27,13),(27,20),(28,11),(28,26),(29,8),(29,28),(30,22),(30,24),(31,17),(31,25),(31,30),(32,25),(32,29),(32,33),(33,16),(33,23),(33,24),(33,28)],34) [7,8,9,10,4,5,2,3,1,6]=>000101010=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [7,8,9,10,4,5,3,2,1,6]=>000101110=>([(0,5),(0,6),(1,2),(1,31),(2,8),(3,4),(3,18),(3,32),(4,9),(4,30),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,15),(9,12),(10,16),(11,17),(12,13),(13,10),(14,11),(15,14),(16,7),(17,7),(18,9),(19,21),(19,22),(20,19),(20,27),(21,11),(21,23),(22,10),(22,23),(23,16),(23,17),(24,19),(24,28),(25,20),(25,29),(26,20),(26,24),(27,14),(27,21),(28,13),(28,22),(29,15),(29,27),(30,12),(30,28),(31,8),(31,29),(32,24),(32,30),(33,18),(33,25),(33,26),(34,25),(34,26),(34,31),(34,32)],35) [7,8,9,10,5,4,3,2,1,6]=>000111110=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [8,9,10,3,4,5,6,1,2,7]=>001000100=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,23),(17,25),(18,24),(18,25),(19,12),(19,23),(20,12),(20,24),(21,13),(21,26),(22,13),(22,27),(23,7),(23,14),(24,6),(24,15),(25,6),(25,7),(26,17),(26,19),(27,18),(27,20)],28) [8,9,10,3,4,5,6,2,1,7]=>001000110=>([(0,4),(0,5),(1,17),(1,29),(2,3),(2,30),(2,33),(3,22),(3,23),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,26),(23,18),(23,25),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,8),(29,28),(30,23),(30,27),(31,24),(31,29),(31,33),(32,17),(32,24),(32,30),(33,7),(33,22),(33,28)],34) [8,9,10,4,5,6,1,2,3,7]=>001001000=>([(0,3),(0,4),(1,13),(2,1),(2,16),(2,25),(3,23),(3,24),(4,2),(4,23),(4,24),(6,9),(7,10),(8,11),(9,12),(10,8),(11,5),(12,5),(13,7),(14,21),(14,22),(15,11),(15,12),(16,17),(16,19),(17,14),(17,26),(18,17),(18,27),(19,14),(19,20),(20,6),(20,21),(21,9),(21,15),(22,8),(22,15),(23,16),(23,18),(24,18),(24,25),(25,13),(25,19),(25,27),(26,6),(26,10),(26,22),(27,7),(27,20),(27,26)],28) [8,9,10,4,5,6,3,2,1,7]=>001001110=>([(0,4),(0,5),(1,29),(1,33),(2,3),(2,17),(2,30),(3,8),(3,28),(4,1),(4,31),(4,32),(5,2),(5,31),(5,32),(7,14),(8,11),(9,15),(10,16),(11,12),(12,9),(13,10),(14,13),(15,6),(16,6),(17,8),(18,19),(18,20),(19,10),(19,21),(20,9),(20,21),(21,15),(21,16),(22,18),(22,25),(23,18),(23,26),(24,7),(24,27),(25,13),(25,19),(26,12),(26,20),(27,14),(27,25),(28,11),(28,26),(29,22),(29,27),(30,23),(30,28),(31,24),(31,30),(31,33),(32,17),(32,24),(32,29),(33,7),(33,22),(33,23)],34) [8,9,10,5,6,3,4,1,2,7]=>001010100=>([(0,2),(0,3),(1,7),(1,8),(2,24),(2,25),(3,1),(3,24),(3,25),(5,14),(6,13),(7,9),(8,10),(9,11),(10,12),(11,6),(12,5),(13,15),(14,16),(15,4),(16,4),(17,22),(17,23),(18,19),(18,20),(19,13),(19,21),(20,14),(20,21),(21,15),(21,16),(22,11),(22,18),(22,27),(23,12),(23,18),(23,27),(24,7),(24,17),(24,26),(25,8),(25,17),(25,26),(26,9),(26,10),(26,22),(26,23),(27,5),(27,6),(27,19),(27,20)],28) [8,9,10,5,6,3,4,2,1,7]=>001010110=>([(0,3),(0,4),(1,17),(2,6),(2,18),(3,2),(3,29),(3,31),(4,1),(4,29),(4,31),(6,12),(7,10),(8,7),(9,13),(10,14),(11,9),(12,11),(13,15),(14,16),(15,5),(16,5),(17,8),(18,12),(18,23),(19,21),(19,22),(20,9),(20,24),(21,10),(21,25),(22,24),(22,25),(23,11),(23,20),(24,13),(24,26),(25,14),(25,26),(26,15),(26,16),(27,8),(27,19),(27,30),(28,19),(28,23),(28,30),(29,6),(29,27),(29,28),(30,7),(30,20),(30,21),(30,22),(31,17),(31,18),(31,27),(31,28)],32) [8,9,10,5,6,4,3,2,1,7]=>001011110=>([(0,5),(0,6),(1,17),(2,4),(2,9),(2,20),(3,19),(3,31),(4,3),(4,18),(4,30),(5,2),(5,32),(5,33),(6,1),(6,32),(6,33),(8,13),(9,18),(10,12),(11,10),(12,16),(13,15),(14,11),(15,7),(16,7),(17,14),(18,19),(19,8),(20,29),(20,30),(21,14),(21,27),(22,27),(22,29),(23,24),(23,28),(24,13),(24,25),(25,15),(25,16),(26,10),(26,28),(27,11),(27,26),(28,12),(28,25),(29,23),(29,26),(30,23),(30,31),(31,8),(31,24),(32,9),(32,21),(32,22),(33,17),(33,20),(33,21),(33,22)],34) [8,9,10,6,5,4,3,2,1,7]=>001111110=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [9,10,5,6,7,2,3,4,1,8]=>010010010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,7),(7,4),(8,4),(9,12),(9,14),(10,13),(10,14),(11,12),(11,13),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,6),(19,15),(20,5),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [9,10,5,6,7,3,4,1,2,8]=>010010100=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,25),(13,26),(14,9),(14,25),(15,10),(15,26),(16,6),(16,14),(17,11),(17,12),(18,13),(18,15),(19,13),(19,14),(20,5),(20,15),(21,5),(21,6),(22,16),(22,19),(23,16),(23,21),(24,18),(24,20),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [9,10,5,6,7,3,4,2,1,8]=>010010110=>([(0,3),(0,4),(1,28),(1,29),(2,16),(2,30),(3,1),(3,32),(3,33),(4,2),(4,32),(4,33),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,22),(21,26),(22,17),(22,25),(23,17),(23,24),(24,11),(24,18),(25,12),(25,19),(26,13),(26,25),(27,10),(27,24),(28,23),(28,27),(29,7),(29,27),(30,6),(30,26),(31,7),(31,22),(31,23),(32,21),(32,28),(32,30),(32,31),(33,16),(33,21),(33,29),(33,31)],34) [9,10,5,6,7,4,3,2,1,8]=>010011110=>([(0,5),(0,6),(1,30),(1,31),(2,3),(2,19),(2,29),(3,4),(3,10),(3,21),(4,8),(4,23),(5,1),(5,32),(5,33),(6,2),(6,32),(6,33),(8,14),(9,13),(10,8),(11,9),(12,15),(13,12),(14,16),(15,17),(16,18),(17,7),(18,7),(19,10),(20,13),(20,27),(21,23),(21,28),(22,27),(22,28),(23,14),(23,26),(24,17),(24,18),(25,15),(25,24),(26,16),(26,24),(27,12),(27,25),(28,25),(28,26),(29,21),(29,22),(30,9),(30,20),(31,20),(31,22),(32,11),(32,29),(32,31),(33,11),(33,19),(33,30)],34) [9,10,6,7,4,5,3,2,1,8]=>010101110=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [9,10,6,7,5,4,3,2,1,8]=>010111110=>([(0,5),(0,6),(1,4),(1,9),(1,20),(2,18),(2,26),(3,2),(3,19),(3,28),(4,3),(4,17),(4,27),(5,29),(5,30),(6,1),(6,29),(6,30),(8,16),(9,17),(10,12),(11,14),(12,13),(13,11),(14,15),(15,7),(16,7),(17,19),(18,8),(19,18),(20,25),(20,27),(21,12),(21,25),(22,15),(22,16),(23,14),(23,22),(24,11),(24,23),(25,13),(25,24),(26,8),(26,22),(27,24),(27,28),(28,23),(28,26),(29,9),(29,10),(29,21),(30,10),(30,20),(30,21)],31) [9,10,7,6,5,4,3,2,1,8]=>011111110=>([(0,7),(0,8),(1,6),(1,10),(1,11),(2,22),(2,23),(3,5),(3,14),(3,15),(4,3),(4,16),(4,17),(5,2),(5,18),(5,19),(6,4),(6,20),(6,21),(7,12),(7,13),(8,1),(8,12),(8,13),(10,21),(11,20),(12,11),(13,10),(14,18),(15,19),(16,14),(17,15),(18,22),(19,23),(20,16),(21,17),(22,9),(23,9)],24) [10,7,8,5,6,3,4,2,1,9]=>101010110=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [10,7,8,5,6,4,3,2,1,9]=>101011110=>([(0,4),(0,5),(1,3),(1,8),(1,18),(2,17),(2,28),(3,2),(3,16),(3,27),(4,29),(4,30),(5,1),(5,29),(5,30),(7,13),(8,16),(9,11),(10,9),(11,12),(12,15),(13,14),(14,6),(15,6),(16,17),(17,7),(18,22),(18,27),(19,10),(19,21),(20,13),(20,26),(21,9),(21,24),(22,23),(22,24),(23,20),(23,25),(24,11),(24,25),(25,12),(25,26),(26,14),(26,15),(27,23),(27,28),(28,7),(28,20),(29,8),(29,19),(29,31),(30,18),(30,19),(30,31),(31,10),(31,21),(31,22)],32) [10,7,8,6,5,4,3,2,1,9]=>101111110=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [1,8,3,6,2,4,7,5]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,8,7,5,6,4,2,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [6,8,2,1,5,4,3,7]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [10,9,1,2,3,7,8,4,5,6]=>110000100=>([(0,5),(0,6),(1,18),(2,4),(2,22),(2,32),(3,28),(3,29),(4,3),(4,27),(4,30),(5,2),(5,23),(5,31),(6,1),(6,23),(6,31),(8,15),(9,12),(10,16),(11,17),(12,14),(13,10),(14,11),(15,13),(16,7),(17,7),(18,9),(19,16),(19,17),(20,10),(20,19),(21,11),(21,19),(22,25),(22,27),(23,22),(23,24),(24,8),(24,25),(25,15),(25,26),(26,13),(26,20),(27,26),(27,28),(28,20),(28,21),(29,14),(29,21),(30,12),(30,29),(31,18),(31,24),(31,32),(32,8),(32,9),(32,30)],33) [10,9,1,2,8,7,3,4,5,6]=>110011000=>([(0,4),(0,5),(1,15),(2,27),(2,29),(3,1),(3,28),(3,31),(4,2),(4,22),(4,23),(5,3),(5,22),(5,23),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,8),(16,12),(16,25),(17,25),(17,26),(18,13),(18,14),(19,17),(19,24),(20,7),(20,16),(21,16),(21,17),(22,29),(22,31),(23,27),(23,28),(24,11),(24,26),(25,9),(25,18),(26,10),(26,18),(27,19),(27,21),(28,20),(28,21),(29,19),(29,30),(30,7),(30,8),(30,24),(31,15),(31,20),(31,30)],32) [9,8,1,10,7,2,3,4,5,6]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [8,6,1,2,3,4,5,9,10,7]=>110000001=>([(0,7),(0,8),(1,18),(2,4),(2,11),(2,23),(3,20),(3,26),(4,5),(4,19),(4,25),(5,6),(5,22),(5,28),(6,3),(6,21),(6,27),(7,2),(7,12),(7,24),(8,1),(8,12),(8,24),(10,13),(11,19),(12,11),(13,14),(14,15),(15,16),(16,9),(17,9),(18,10),(19,22),(20,17),(21,20),(22,21),(23,10),(23,25),(24,18),(24,23),(25,13),(25,28),(26,16),(26,17),(27,15),(27,26),(28,14),(28,27)],29) [5,7,1,2,3,4,8,9,10,6]=>010000001=>([(0,6),(0,7),(1,3),(1,11),(1,21),(2,18),(2,25),(3,4),(3,17),(3,24),(4,5),(4,20),(4,27),(5,2),(5,19),(5,26),(6,22),(6,23),(7,1),(7,22),(7,23),(9,12),(10,9),(11,17),(12,13),(13,14),(14,15),(15,8),(16,8),(17,20),(18,16),(19,18),(20,19),(21,9),(21,24),(22,10),(22,11),(23,10),(23,21),(24,12),(24,27),(25,15),(25,16),(26,14),(26,25),(27,13),(27,26)],28) [10,4,1,2,3,7,8,9,5,6]=>110000010=>([(0,6),(0,7),(1,20),(2,4),(2,21),(2,23),(3,27),(3,28),(4,5),(4,25),(4,26),(5,3),(5,29),(5,30),(6,2),(6,22),(6,31),(7,1),(7,22),(7,31),(9,15),(10,13),(11,10),(12,16),(13,14),(14,17),(15,12),(16,18),(17,19),(18,8),(19,8),(20,9),(21,10),(21,26),(22,11),(22,21),(23,9),(23,25),(24,18),(24,19),(25,15),(25,30),(26,13),(26,29),(27,16),(27,24),(28,17),(28,24),(29,14),(29,28),(30,12),(30,27),(31,11),(31,20),(31,23)],32) [10,3,1,2,9,7,8,4,5,6]=>110010100=>([(0,3),(0,4),(1,16),(2,22),(2,29),(3,2),(3,30),(3,32),(4,1),(4,30),(4,32),(6,13),(7,10),(8,14),(9,15),(10,11),(11,8),(12,9),(13,12),(14,5),(15,5),(16,6),(17,18),(17,19),(18,8),(18,20),(19,9),(19,20),(20,14),(20,15),(21,23),(21,27),(22,24),(22,28),(23,17),(23,25),(24,17),(24,26),(25,11),(25,18),(26,12),(26,19),(27,10),(27,25),(28,13),(28,26),(29,6),(29,7),(29,28),(30,21),(30,22),(30,31),(31,7),(31,23),(31,24),(31,27),(32,16),(32,21),(32,29),(32,31)],33) [2,9,1,10,8,7,3,4,5,6]=>010111000=>([(0,5),(0,6),(1,2),(1,30),(2,8),(3,4),(3,31),(3,32),(4,23),(4,24),(5,1),(5,33),(5,34),(6,3),(6,33),(6,34),(8,16),(9,12),(10,17),(11,18),(12,13),(13,14),(14,11),(15,10),(16,15),(17,7),(18,7),(19,20),(19,21),(20,10),(20,22),(21,11),(21,22),(22,17),(22,18),(23,19),(23,27),(24,19),(24,25),(25,15),(25,20),(26,13),(26,27),(27,14),(27,21),(28,16),(28,25),(29,12),(29,26),(30,8),(30,28),(31,24),(31,28),(32,23),(32,26),(33,9),(33,29),(33,32),(34,9),(34,29),(34,30),(34,31)],35) [6,3,2,1,5,8,4,7]=>1110010=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [4,3,5,6,2,8,1,7]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,3,5,2,7,8,4,1]=>1010011=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [4,5,3,1,6,8,2,7]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [3,4,6,7,5,1,8,2]=>0001101=>([(0,4),(0,5),(1,13),(2,1),(2,15),(3,14),(3,16),(4,2),(4,20),(4,21),(5,3),(5,20),(5,21),(7,8),(8,9),(9,11),(10,12),(11,6),(12,6),(13,10),(14,8),(14,18),(15,13),(15,17),(16,17),(16,18),(17,10),(17,19),(18,9),(18,19),(19,11),(19,12),(20,7),(20,14),(21,7),(21,15),(21,16)],22) [7,4,1,2,5,6,8,3]=>1100001=>([(0,5),(0,6),(1,14),(2,4),(2,9),(2,18),(3,16),(3,20),(4,3),(4,15),(4,19),(5,2),(5,10),(5,17),(6,1),(6,10),(6,17),(8,12),(9,15),(10,9),(11,8),(12,7),(13,7),(14,11),(15,16),(16,13),(17,14),(17,18),(18,11),(18,19),(19,8),(19,20),(20,12),(20,13)],21) [4,8,2,6,7,1,5,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [6,5,8,3,7,1,4,2]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [4,2,6,1,3,5,8,7,9]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [4,2,6,1,8,3,5,7,9]=>10101000=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [4,2,6,1,3,5,8,7,10,9]=>101000101=>([(0,3),(0,4),(1,2),(1,27),(1,28),(2,20),(2,21),(3,29),(3,30),(4,1),(4,29),(4,30),(6,13),(7,12),(8,14),(9,15),(10,8),(11,9),(12,10),(13,11),(14,5),(15,5),(16,17),(16,18),(17,8),(17,19),(18,9),(18,19),(19,14),(19,15),(20,16),(20,23),(21,16),(21,24),(22,6),(22,7),(23,10),(23,17),(24,11),(24,18),(25,12),(25,23),(26,13),(26,24),(27,20),(27,25),(28,21),(28,26),(29,22),(29,27),(29,31),(30,22),(30,28),(30,31),(31,6),(31,7),(31,25),(31,26)],32) [4,2,8,1,3,6,5,7,9]=>10100100=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [4,2,6,1,8,3,5,7,10,9]=>101010001=>([(0,3),(0,4),(1,2),(1,15),(1,26),(2,6),(2,24),(3,27),(3,28),(4,1),(4,27),(4,28),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,8),(16,18),(17,9),(17,18),(18,13),(18,14),(19,16),(19,17),(20,7),(20,25),(21,19),(21,23),(22,20),(22,29),(23,11),(23,17),(24,12),(24,23),(25,10),(25,16),(26,21),(26,24),(27,22),(27,26),(27,30),(28,15),(28,22),(28,30),(29,7),(29,19),(29,25),(30,20),(30,21),(30,29)],31) [4,2,6,1,9,3,5,8,7]=>10101001=>([(0,2),(0,3),(1,5),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,8),(6,9),(7,10),(8,7),(9,11),(10,12),(11,4),(12,4),(13,18),(13,21),(14,8),(14,17),(15,9),(15,19),(16,10),(16,19),(17,7),(17,16),(18,6),(18,15),(19,11),(19,12),(20,17),(20,18),(20,21),(21,6),(21,15),(21,16),(22,13),(22,14),(22,20),(23,5),(23,13),(23,20)],24) [4,2,6,1,8,3,10,5,7,9]=>101010100=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [9,7,1,8,2,3,4,5,6]=>11010000=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,6,1,7,2,8,3,4,5]=>11010100=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [8,6,1,9,7,2,3,4,5]=>11011000=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [9,8,6,1,7,2,3,4,5]=>11101000=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [8,5,1,9,6,2,7,3,4]=>11011010=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [9,8,5,1,6,2,7,3,4]=>11101010=>([(0,3),(0,4),(1,2),(1,20),(2,6),(3,19),(3,23),(4,1),(4,19),(4,23),(6,10),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,11),(13,12),(14,15),(14,22),(15,7),(15,18),(16,10),(16,17),(17,9),(17,13),(18,8),(18,13),(19,14),(19,21),(20,6),(20,16),(21,15),(21,16),(21,22),(22,7),(22,17),(22,18),(23,14),(23,20),(23,21)],24) [9,7,5,1,8,6,2,3,4]=>11101100=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [9,8,7,5,1,6,2,3,4]=>11110100=>([(0,5),(0,6),(1,15),(2,3),(2,25),(3,4),(3,19),(4,8),(5,1),(5,24),(5,26),(6,2),(6,24),(6,26),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,9),(16,12),(16,22),(17,13),(17,14),(18,22),(18,23),(19,8),(19,23),(20,16),(20,18),(21,9),(21,16),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,18),(25,19),(26,15),(26,20),(26,21),(26,25)],27) [9,7,4,1,8,5,2,6,3]=>11101101=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [9,8,7,4,1,5,2,6,3]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [8,6,4,1,9,7,5,2,3]=>11101110=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [9,8,6,4,1,7,5,2,3]=>11110110=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [9,8,7,6,4,1,5,2,3]=>11111010=>([(0,5),(0,6),(1,4),(1,17),(2,14),(3,2),(3,22),(4,3),(4,21),(5,20),(5,23),(6,1),(6,20),(6,23),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,12),(15,13),(16,9),(16,15),(17,18),(17,21),(18,10),(18,16),(19,11),(19,18),(20,8),(20,19),(21,16),(21,22),(22,14),(22,15),(23,8),(23,17),(23,19)],24) [9,8,7,5,3,1,6,4,2]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [10,7,1,8,2,9,3,4,5,6]=>110101000=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [9,7,1,10,8,2,3,4,5,6]=>110110000=>([(0,5),(0,6),(1,3),(1,23),(2,16),(3,2),(3,30),(4,24),(4,31),(5,1),(5,29),(5,32),(6,4),(6,29),(6,32),(8,11),(9,12),(10,14),(11,15),(12,13),(13,10),(14,7),(15,7),(16,8),(17,13),(17,27),(18,27),(18,28),(19,12),(19,17),(20,14),(20,15),(21,9),(21,19),(22,8),(22,28),(23,25),(23,30),(24,19),(24,26),(25,18),(25,22),(26,17),(26,18),(27,10),(27,20),(28,11),(28,20),(29,21),(29,24),(30,16),(30,22),(31,9),(31,25),(31,26),(32,21),(32,23),(32,31)],33) [10,9,7,1,8,2,3,4,5,6]=>111010000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [10,6,1,7,2,8,3,9,4,5]=>110101010=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [9,6,1,10,7,2,8,3,4,5]=>110110100=>([(0,3),(0,4),(1,15),(2,20),(2,22),(3,2),(3,30),(3,31),(4,1),(4,30),(4,31),(6,12),(7,10),(8,13),(9,14),(10,8),(11,9),(12,11),(13,5),(14,5),(15,6),(16,23),(16,25),(17,8),(17,19),(18,9),(18,19),(19,13),(19,14),(20,16),(20,24),(21,6),(21,26),(22,16),(22,29),(23,17),(23,18),(24,7),(24,25),(25,10),(25,17),(26,12),(26,27),(27,11),(27,18),(28,24),(28,26),(28,29),(29,7),(29,23),(29,27),(30,20),(30,21),(30,28),(31,15),(31,21),(31,22),(31,28)],32) [10,9,6,1,7,2,8,3,4,5]=>111010100=>([(0,4),(0,5),(1,17),(2,3),(2,27),(3,7),(4,1),(4,26),(4,31),(5,2),(5,26),(5,31),(7,12),(8,11),(9,8),(10,13),(11,14),(12,10),(13,15),(14,16),(15,6),(16,6),(17,9),(18,12),(18,22),(19,20),(19,21),(20,11),(20,23),(21,23),(21,24),(22,10),(22,24),(23,14),(23,25),(24,13),(24,25),(25,15),(25,16),(26,28),(26,29),(27,7),(27,18),(28,9),(28,19),(28,30),(29,18),(29,19),(29,30),(30,8),(30,20),(30,21),(30,22),(31,17),(31,27),(31,28),(31,29)],32) [10,8,6,1,9,7,2,3,4,5]=>111011000=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [10,9,8,6,1,7,2,3,4,5]=>111101000=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [9,5,1,10,6,2,7,3,8,4]=>110110101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,18),(14,23),(15,7),(15,17),(16,8),(16,17),(17,12),(17,13),(18,15),(18,16),(19,5),(19,23),(20,14),(20,19),(21,14),(21,26),(22,6),(22,25),(23,11),(23,16),(24,10),(24,15),(25,9),(25,24),(26,5),(26,18),(26,24),(27,21),(27,22),(27,29),(28,20),(28,22),(28,29),(29,6),(29,19),(29,25),(29,26)],30) [10,9,5,1,6,2,7,3,8,4]=>111010101=>([(0,3),(0,4),(1,2),(1,23),(2,6),(3,22),(3,27),(4,1),(4,22),(4,27),(6,11),(7,8),(8,12),(9,13),(10,9),(11,10),(12,5),(13,5),(14,12),(14,13),(15,19),(15,26),(16,7),(16,20),(17,10),(17,21),(18,11),(18,17),(19,16),(19,25),(20,8),(20,14),(21,9),(21,14),(22,15),(22,24),(23,6),(23,18),(24,18),(24,19),(24,26),(25,7),(25,20),(25,21),(26,16),(26,17),(26,25),(27,15),(27,23),(27,24)],28) [8,5,1,9,6,2,10,7,3,4]=>110110110=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,7),(6,8),(7,4),(8,4),(9,12),(9,14),(10,12),(10,13),(11,13),(11,14),(12,19),(12,21),(13,20),(13,21),(14,19),(14,20),(15,7),(15,8),(16,9),(16,10),(17,9),(17,11),(18,10),(18,11),(19,5),(19,15),(20,6),(20,15),(21,5),(21,6),(22,16),(22,17),(23,16),(23,18)],24) [10,8,5,1,9,6,2,7,3,4]=>111011010=>([(0,3),(0,4),(1,16),(2,1),(2,17),(2,27),(3,28),(3,29),(4,2),(4,28),(4,29),(6,9),(7,10),(8,11),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,8),(17,20),(17,21),(18,11),(18,23),(19,10),(19,24),(20,18),(20,22),(21,19),(21,22),(22,23),(22,24),(23,13),(23,25),(24,12),(24,25),(25,14),(25,15),(26,9),(26,20),(26,30),(27,16),(27,21),(27,30),(28,6),(28,17),(28,26),(29,6),(29,26),(29,27),(30,7),(30,8),(30,18),(30,19)],31) [10,9,8,5,1,6,2,7,3,4]=>111101010=>([(0,4),(0,5),(1,3),(1,18),(2,14),(3,2),(3,26),(4,25),(4,29),(5,1),(5,25),(5,29),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,20),(16,28),(17,7),(17,24),(18,19),(18,26),(19,17),(19,21),(20,8),(20,22),(21,23),(21,24),(22,11),(22,23),(23,9),(23,15),(24,10),(24,15),(25,16),(25,27),(26,14),(26,17),(27,19),(27,20),(27,28),(28,8),(28,21),(28,22),(29,16),(29,18),(29,27)],30) [9,7,5,1,10,8,6,2,3,4]=>111011100=>([(0,4),(0,5),(1,16),(2,3),(2,28),(2,31),(3,23),(3,30),(4,1),(4,24),(4,29),(5,2),(5,24),(5,29),(7,13),(8,11),(9,14),(10,15),(11,12),(12,9),(13,10),(14,6),(15,6),(16,8),(17,18),(17,19),(18,10),(18,20),(19,9),(19,20),(20,14),(20,15),(21,7),(21,26),(22,17),(22,26),(23,17),(23,27),(24,25),(24,28),(25,21),(25,22),(26,13),(26,18),(27,12),(27,19),(28,22),(28,23),(29,16),(29,25),(29,31),(30,7),(30,11),(30,27),(31,8),(31,21),(31,30)],32) [10,9,7,5,1,8,6,2,3,4]=>111101100=>([(0,5),(0,6),(1,17),(2,3),(2,30),(3,8),(4,2),(4,23),(4,32),(5,4),(5,29),(5,31),(6,1),(6,29),(6,31),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,9),(18,20),(18,21),(19,18),(19,26),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,28),(24,18),(24,27),(25,19),(25,24),(26,13),(26,21),(27,14),(27,20),(28,12),(28,26),(29,23),(29,25),(30,8),(30,27),(31,17),(31,25),(31,32),(32,9),(32,24),(32,28),(32,30)],33) [10,9,8,7,5,1,6,2,3,4]=>111110100=>([(0,6),(0,7),(1,10),(2,5),(2,24),(3,17),(4,3),(4,30),(5,4),(5,29),(6,2),(6,28),(6,31),(7,1),(7,28),(7,31),(9,15),(10,14),(11,16),(12,13),(13,11),(14,12),(15,8),(16,8),(17,9),(18,22),(18,26),(19,11),(19,21),(20,9),(20,21),(21,15),(21,16),(22,19),(22,20),(23,18),(23,25),(24,18),(24,29),(25,12),(25,26),(26,13),(26,19),(27,14),(27,25),(28,23),(28,27),(29,22),(29,30),(30,17),(30,20),(31,10),(31,23),(31,24),(31,27)],32) [9,7,4,1,10,8,5,2,6,3]=>111011101=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [10,9,7,4,1,8,5,2,6,3]=>111101101=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [10,9,8,7,4,1,5,2,6,3]=>111110101=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [10,8,6,4,1,9,7,5,2,3]=>111101110=>([(0,4),(0,5),(1,14),(2,3),(2,27),(2,28),(3,1),(3,21),(3,29),(4,22),(4,23),(5,2),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,16),(15,20),(16,17),(16,24),(17,25),(17,26),(18,11),(18,25),(19,12),(19,13),(20,17),(20,18),(21,8),(21,18),(22,15),(22,28),(23,15),(23,27),(24,7),(24,26),(25,9),(25,19),(26,10),(26,19),(27,20),(27,21),(28,16),(28,29),(29,8),(29,14),(29,24)],30) [10,9,8,6,4,1,7,5,2,3]=>111110110=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [10,9,8,7,6,4,1,5,2,3]=>111111010=>([(0,6),(0,7),(1,5),(1,19),(2,16),(3,4),(3,25),(4,2),(4,26),(5,3),(5,24),(6,23),(6,27),(7,1),(7,23),(7,27),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,20),(19,24),(20,11),(20,21),(21,12),(21,18),(22,13),(22,20),(23,9),(23,22),(24,21),(24,25),(25,18),(25,26),(26,16),(26,17),(27,9),(27,19),(27,22)],28) [10,9,7,5,3,1,8,6,4,2]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [10,9,8,7,5,3,1,6,4,2]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [10,9,8,7,6,5,3,1,4,2]=>111111101=>([(0,7),(0,8),(1,3),(1,18),(2,17),(3,5),(3,20),(4,6),(4,22),(5,4),(5,23),(6,2),(6,21),(7,16),(7,19),(8,1),(8,16),(8,19),(10,11),(11,13),(12,14),(13,12),(14,15),(15,9),(16,10),(17,9),(18,11),(18,20),(19,10),(19,18),(20,13),(20,23),(21,15),(21,17),(22,14),(22,21),(23,12),(23,22)],24) [9,1,2,8,4,3,5,6,7]=>10011000=>([(0,4),(0,5),(1,14),(2,23),(2,24),(3,1),(3,25),(3,26),(4,2),(4,18),(4,19),(5,3),(5,18),(5,19),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,12),(15,13),(16,21),(16,22),(17,11),(17,21),(18,23),(18,25),(19,24),(19,26),(20,7),(20,22),(21,9),(21,15),(22,10),(22,15),(23,16),(23,17),(24,16),(24,20),(25,8),(25,17),(26,8),(26,14),(26,20)],27) [8,1,9,3,2,4,6,5,7]=>10110010=>([(0,3),(0,4),(1,23),(1,25),(2,22),(2,24),(3,2),(3,26),(3,27),(4,1),(4,26),(4,27),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,14),(13,15),(14,5),(15,5),(16,19),(16,20),(17,10),(17,19),(18,11),(18,20),(19,12),(19,21),(20,13),(20,21),(21,14),(21,15),(22,6),(22,17),(23,7),(23,18),(24,16),(24,17),(25,16),(25,18),(26,8),(26,9),(26,24),(26,25),(27,8),(27,9),(27,22),(27,23)],28) [9,8,2,1,3,5,6,4,7]=>11100010=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [8,1,9,2,4,5,6,3,7]=>10100010=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [2,3,4,10,6,7,8,9,1,5]=>000100010=>([(0,3),(0,4),(1,2),(1,26),(1,27),(2,19),(2,20),(3,21),(3,22),(4,1),(4,21),(4,22),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,14),(12,15),(13,17),(13,18),(14,8),(14,16),(15,9),(15,16),(16,10),(16,11),(17,12),(17,23),(18,23),(18,25),(19,12),(19,24),(20,24),(20,25),(21,13),(21,26),(22,13),(22,27),(23,6),(23,14),(24,7),(24,15),(25,6),(25,7),(26,18),(26,20),(27,17),(27,19)],28) [2,3,10,5,6,7,8,9,1,4]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [2,3,4,5,6,10,1,9,7,8]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [2,3,4,5,10,1,8,9,6,7]=>000010010=>([(0,4),(0,5),(1,2),(1,25),(2,7),(3,1),(3,19),(3,28),(4,26),(4,27),(5,3),(5,26),(5,27),(7,12),(8,11),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,21),(16,11),(16,23),(17,13),(17,14),(18,15),(18,29),(19,15),(19,20),(20,8),(20,16),(21,23),(21,24),(22,12),(22,24),(23,10),(23,17),(24,9),(24,17),(25,7),(25,22),(26,18),(26,19),(27,18),(27,28),(28,20),(28,25),(28,29),(29,8),(29,21),(29,22)],30) [2,3,10,1,6,7,8,9,4,5]=>001000010=>([(0,4),(0,5),(1,3),(1,20),(1,21),(2,28),(2,29),(3,2),(3,26),(3,27),(4,22),(4,23),(5,1),(5,22),(5,23),(7,11),(8,12),(9,13),(10,14),(11,10),(12,9),(13,6),(14,6),(15,16),(15,17),(16,7),(16,19),(17,7),(17,8),(18,13),(18,14),(19,11),(19,24),(20,16),(20,26),(21,17),(21,27),(22,15),(22,20),(23,15),(23,21),(24,10),(24,18),(25,9),(25,18),(26,19),(26,29),(27,8),(27,28),(28,12),(28,25),(29,24),(29,25)],30) [1,5,2,4,7,6,8,3]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,4,3,6,5,8,7,9,2]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,4,2,6,5,8,7,9,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,6,4,8,7,9,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,7,4,8,6,9,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,7,4,9,6,8,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,7,4,6,9,8,3]=>01010011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,6),(11,7),(12,5),(13,5),(14,10),(15,11),(15,18),(16,19),(16,23),(17,10),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [1,5,2,4,7,6,9,8,3]=>01001011=>([(0,3),(0,4),(1,14),(2,16),(2,17),(3,2),(3,25),(3,26),(4,1),(4,25),(4,26),(6,8),(7,9),(8,12),(9,13),(10,7),(11,6),(12,5),(13,5),(14,10),(15,10),(15,18),(16,11),(16,23),(17,19),(17,23),(18,7),(18,22),(19,21),(19,22),(20,12),(20,13),(21,8),(21,20),(22,9),(22,20),(23,6),(23,21),(24,11),(24,18),(24,19),(25,15),(25,16),(25,24),(26,14),(26,15),(26,17),(26,24)],27) [1,2,5,4,7,6,9,8,3]=>00101011=>([(0,3),(0,4),(1,15),(2,14),(3,2),(3,20),(3,24),(4,1),(4,20),(4,24),(6,10),(7,11),(8,6),(9,7),(10,12),(11,13),(12,5),(13,5),(14,8),(15,9),(16,17),(16,18),(17,10),(17,19),(18,11),(18,19),(19,12),(19,13),(20,21),(20,22),(21,8),(21,16),(21,23),(22,9),(22,16),(22,23),(23,6),(23,7),(23,17),(23,18),(24,14),(24,15),(24,21),(24,22)],25) [1,4,2,6,5,8,7,10,9,3]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,5,2,6,3,8,7,9,4]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,6,4,8,7,10,9,3]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,6,2,7,4,8,5,9,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,7,4,8,6,10,9,3]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,5,2,8,4,9,6,7,3]=>01010101=>([(0,1),(0,2),(1,14),(1,15),(2,14),(2,15),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,12),(8,13),(9,12),(9,13),(10,6),(10,7),(11,6),(11,7),(12,4),(12,5),(13,4),(13,5),(14,10),(14,11),(15,10),(15,11)],16) [1,5,2,7,4,9,6,10,8,3]=>010101011=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [1,5,2,7,4,6,8,9,3]=>01010001=>([(0,3),(0,4),(1,2),(1,14),(1,22),(2,6),(2,15),(3,23),(3,24),(4,1),(4,23),(4,24),(6,8),(7,9),(8,10),(9,13),(10,12),(11,7),(12,5),(13,5),(14,6),(15,8),(15,19),(16,19),(16,20),(17,11),(17,18),(18,7),(18,20),(19,10),(19,21),(20,9),(20,21),(21,12),(21,13),(22,15),(22,16),(23,17),(23,22),(23,25),(24,14),(24,17),(24,25),(25,11),(25,16),(25,18)],26) [1,5,2,7,4,9,6,8,10,3]=>010101001=>([(0,2),(0,3),(1,5),(1,15),(2,26),(2,27),(3,1),(3,26),(3,27),(5,9),(6,7),(7,10),(8,11),(9,6),(10,12),(11,13),(12,4),(13,4),(14,21),(14,24),(15,9),(15,18),(16,10),(16,22),(17,11),(17,22),(18,6),(18,19),(19,7),(19,16),(20,8),(20,17),(21,20),(21,25),(22,12),(22,13),(23,18),(23,21),(23,24),(24,19),(24,20),(24,25),(25,8),(25,16),(25,17),(26,14),(26,15),(26,23),(27,5),(27,14),(27,23)],28) [1,5,2,4,7,9,6,8,3]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [1,5,2,7,4,6,9,8,10,3]=>010100101=>([(0,2),(0,3),(1,22),(1,23),(2,27),(2,28),(3,1),(3,27),(3,28),(5,10),(6,9),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,14),(13,15),(14,25),(14,26),(15,10),(15,26),(16,9),(16,25),(17,11),(17,12),(18,14),(18,16),(19,6),(19,16),(20,5),(20,15),(21,5),(21,6),(22,13),(22,20),(23,13),(23,18),(24,19),(24,21),(25,7),(25,17),(26,8),(26,17),(27,22),(27,24),(27,29),(28,23),(28,24),(28,29),(29,18),(29,19),(29,20),(29,21)],30) [1,2,5,7,4,6,9,8,3]=>00010011=>([(0,4),(0,5),(1,15),(2,8),(3,1),(3,16),(3,26),(4,2),(4,24),(4,25),(5,3),(5,24),(5,25),(7,9),(8,7),(9,10),(10,13),(11,14),(12,11),(13,6),(14,6),(15,12),(16,19),(16,23),(17,18),(17,23),(18,12),(18,22),(19,9),(19,21),(20,13),(20,14),(21,10),(21,20),(22,11),(22,20),(23,21),(23,22),(24,16),(24,17),(25,8),(25,17),(25,26),(26,7),(26,15),(26,18),(26,19)],27) [1,5,2,4,7,6,9,8,10,3]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,2,5,4,7,6,9,8,10,3]=>001010101=>([(0,2),(0,3),(1,12),(2,18),(2,23),(3,1),(3,18),(3,23),(5,6),(6,10),(7,5),(8,7),(9,11),(10,4),(11,4),(12,8),(13,17),(13,20),(14,10),(14,11),(15,9),(15,14),(16,15),(16,21),(17,16),(17,22),(18,13),(18,19),(19,8),(19,17),(19,20),(20,7),(20,16),(20,22),(21,6),(21,9),(21,14),(22,5),(22,15),(22,21),(23,12),(23,13),(23,19)],24) [2,5,4,7,1,8,3,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,5,4,7,3,8,2,6]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [1,2,6,7,3,5,4,8]=>0001010=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,1,2,4,6,3,5,7]=>1000100=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,7),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,19),(16,17),(16,18),(17,6),(17,13),(18,13),(18,14),(19,6),(19,7)],20) [4,5,6,7,9,8,3,2,1]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [5,4,6,7,8,9,3,2,1]=>10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [5,6,7,8,10,9,4,3,2,1]=>000011111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [6,5,7,8,9,4,3,2,1]=>10001111=>([(0,6),(0,7),(1,3),(1,21),(2,16),(3,2),(3,25),(4,5),(4,17),(4,26),(5,9),(5,18),(6,1),(6,10),(6,19),(7,4),(7,10),(7,19),(9,11),(10,17),(11,12),(12,14),(13,15),(14,8),(15,8),(16,13),(17,9),(18,11),(18,23),(19,21),(19,26),(20,13),(20,24),(21,22),(21,25),(22,20),(22,23),(23,12),(23,24),(24,14),(24,15),(25,16),(25,20),(26,18),(26,22)],27) [6,5,7,8,9,10,4,3,2,1]=>100001111=>([(0,7),(0,8),(1,3),(1,25),(2,18),(3,2),(3,30),(4,6),(4,15),(4,27),(5,20),(5,32),(6,5),(6,19),(6,31),(7,1),(7,12),(7,28),(8,4),(8,12),(8,28),(10,13),(11,14),(12,15),(13,16),(14,17),(15,19),(16,9),(17,9),(18,11),(19,20),(20,10),(21,26),(21,29),(22,13),(22,24),(23,14),(23,24),(24,16),(24,17),(25,21),(25,30),(26,22),(26,23),(27,21),(27,31),(28,25),(28,27),(29,11),(29,23),(30,18),(30,29),(31,26),(31,32),(32,10),(32,22)],33) [4,5,6,7,8,10,9,3,2,1]=>000001111=>([(0,8),(0,9),(1,7),(1,23),(2,6),(2,22),(3,17),(4,16),(5,4),(5,29),(6,5),(6,27),(7,3),(7,28),(8,1),(8,24),(9,2),(9,24),(11,15),(12,13),(13,14),(14,10),(15,10),(16,11),(17,12),(18,20),(18,26),(19,18),(19,25),(20,13),(20,21),(21,14),(21,15),(22,19),(22,27),(23,19),(23,28),(24,22),(24,23),(25,12),(25,20),(26,11),(26,21),(27,18),(27,29),(28,17),(28,25),(29,16),(29,26)],30) [4,5,6,7,3,9,8,2,1]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [3,5,6,7,9,8,4,2,1]=>00001111=>([(0,7),(0,8),(1,6),(1,19),(2,5),(2,18),(3,14),(4,15),(5,3),(5,23),(6,4),(6,24),(7,2),(7,20),(8,1),(8,20),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,21),(16,22),(17,12),(17,13),(18,16),(18,23),(19,16),(19,24),(20,18),(20,19),(21,10),(21,17),(22,11),(22,17),(23,14),(23,21),(24,15),(24,22)],25) [5,4,6,7,8,3,9,2,1]=>10001011=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [4,3,6,7,8,9,5,2,1]=>10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [5,4,6,7,8,9,10,3,2,1]=>100000111=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [3,4,5,6,8,9,7,1,2]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,4,5,7,8,9,6,1,2]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,5,6,7,8,9,4,1,2]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [4,5,6,7,8,9,3,1,2]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,4,5,6,7,9,10,8,1,2]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [3,4,5,8,1,9,7,6,2]=>00010111=>([(0,5),(0,6),(1,4),(1,26),(2,3),(2,25),(3,8),(4,9),(5,2),(5,24),(5,27),(6,1),(6,24),(6,27),(8,12),(9,13),(10,14),(11,15),(12,10),(13,11),(14,7),(15,7),(16,22),(16,23),(17,14),(17,15),(18,12),(18,22),(19,13),(19,23),(20,16),(20,18),(21,16),(21,19),(22,10),(22,17),(23,11),(23,17),(24,20),(24,21),(25,8),(25,18),(26,9),(26,19),(27,20),(27,21),(27,25),(27,26)],28) [3,4,5,6,8,9,10,7,1,2]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [3,4,7,1,8,9,6,5,2]=>00100111=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [3,6,1,7,8,9,4,5,2]=>01000101=>([(0,3),(0,4),(1,2),(1,21),(1,22),(2,16),(2,17),(3,23),(3,24),(4,1),(4,23),(4,24),(6,10),(7,9),(8,6),(9,11),(10,12),(11,13),(12,14),(13,5),(14,5),(15,10),(15,19),(16,18),(16,19),(17,9),(17,18),(18,11),(18,20),(19,12),(19,20),(20,13),(20,14),(21,7),(21,17),(22,15),(22,16),(23,8),(23,22),(23,25),(24,8),(24,21),(24,25),(25,6),(25,7),(25,15)],26) [3,4,6,7,8,9,10,5,1,2]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [5,1,6,7,8,9,4,3,2]=>10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [3,5,6,7,8,9,10,4,1,2]=>000000110=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [1,5,6,7,8,9,3,2,4]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [3,4,5,6,7,10,1,8,9,2]=>000001001=>([(0,5),(0,6),(1,3),(1,23),(2,15),(3,2),(3,28),(4,1),(4,21),(4,29),(5,26),(5,27),(6,4),(6,26),(6,27),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,17),(16,20),(17,10),(17,18),(18,13),(18,14),(19,22),(19,24),(20,8),(20,18),(21,9),(21,24),(22,16),(22,25),(23,16),(23,28),(24,12),(24,25),(25,11),(25,17),(26,19),(26,21),(27,19),(27,29),(28,15),(28,20),(29,9),(29,22),(29,23)],30) [3,4,5,8,9,6,7,1,2]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [3,4,5,6,9,1,10,8,7,2]=>000010111=>([(0,6),(0,7),(1,4),(1,28),(2,5),(2,27),(3,17),(4,16),(5,3),(5,32),(6,1),(6,31),(6,33),(7,2),(7,31),(7,33),(9,12),(10,13),(11,14),(12,15),(13,11),(14,8),(15,8),(16,10),(17,9),(18,20),(18,24),(19,20),(19,21),(20,29),(20,30),(21,13),(21,29),(22,10),(22,21),(23,14),(23,15),(24,9),(24,30),(25,18),(25,19),(26,19),(26,22),(27,18),(27,32),(28,16),(28,22),(29,11),(29,23),(30,12),(30,23),(31,25),(31,26),(32,17),(32,24),(33,25),(33,26),(33,27),(33,28)],34) [3,4,7,8,5,9,6,1,2]=>00010110=>([(0,4),(0,5),(1,15),(2,1),(2,20),(3,8),(3,21),(4,2),(4,26),(4,27),(5,3),(5,26),(5,27),(7,10),(8,11),(9,13),(10,14),(11,12),(12,9),(13,6),(14,6),(15,7),(16,12),(16,24),(17,24),(17,25),(18,7),(18,25),(19,13),(19,14),(20,15),(20,18),(21,11),(21,16),(22,16),(22,17),(23,17),(23,18),(24,9),(24,19),(25,10),(25,19),(26,8),(26,22),(26,23),(27,20),(27,21),(27,22),(27,23)],28) [3,4,5,9,1,6,7,8,2]=>00010001=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [3,4,5,8,1,9,10,7,6,2]=>000100111=>([(0,5),(0,6),(1,3),(1,31),(2,17),(3,9),(4,2),(4,23),(4,33),(5,4),(5,30),(5,32),(6,1),(6,30),(6,32),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,8),(18,20),(18,21),(19,18),(19,27),(20,11),(20,22),(21,10),(21,22),(22,15),(22,16),(23,19),(23,24),(24,18),(24,28),(25,8),(25,27),(26,19),(26,25),(27,14),(27,20),(28,13),(28,21),(29,12),(29,28),(30,23),(30,26),(31,9),(31,29),(32,26),(32,31),(32,33),(33,17),(33,24),(33,25),(33,29)],34) [3,4,8,1,5,9,7,6,2]=>00100111=>([(0,4),(0,5),(1,14),(2,1),(2,18),(3,19),(3,25),(4,2),(4,24),(4,26),(5,3),(5,24),(5,26),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,7),(15,11),(15,22),(16,12),(16,13),(17,8),(17,15),(18,14),(18,21),(19,15),(19,20),(20,22),(20,23),(21,7),(21,23),(22,9),(22,16),(23,10),(23,16),(24,17),(24,19),(25,8),(25,20),(25,21),(26,17),(26,18),(26,25)],27) [3,4,7,1,8,9,10,5,6,2]=>001000101=>([(0,3),(0,4),(1,2),(1,25),(1,26),(2,21),(2,22),(3,27),(3,28),(4,1),(4,27),(4,28),(6,13),(7,10),(8,14),(9,15),(10,11),(11,12),(12,8),(13,9),(14,5),(15,5),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,14),(19,15),(20,6),(20,23),(21,16),(21,23),(22,16),(22,24),(23,13),(23,17),(24,12),(24,18),(25,20),(25,21),(26,22),(26,29),(27,7),(27,25),(27,30),(28,7),(28,26),(28,30),(29,6),(29,11),(29,24),(30,10),(30,20),(30,29)],31) [5,6,3,7,8,9,4,1,2]=>01000110=>([(0,4),(0,5),(1,16),(1,23),(2,3),(2,24),(2,25),(3,18),(3,19),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,10),(9,7),(10,12),(11,13),(12,14),(13,15),(14,6),(15,6),(16,8),(17,10),(17,21),(18,20),(18,21),(19,11),(19,20),(20,13),(20,22),(21,12),(21,22),(22,14),(22,15),(23,8),(23,17),(24,7),(24,19),(25,17),(25,18),(26,9),(26,23),(26,25),(27,9),(27,16),(27,24)],28) [3,7,8,4,5,6,1,2]=>0010010=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [3,7,1,4,8,9,6,5,2]=>01000111=>([(0,5),(0,6),(1,2),(1,24),(2,8),(3,4),(3,25),(3,26),(4,20),(4,23),(5,1),(5,21),(5,27),(6,3),(6,21),(6,27),(8,14),(9,12),(10,15),(11,16),(12,13),(13,10),(14,11),(15,7),(16,7),(17,10),(17,19),(18,11),(18,19),(19,15),(19,16),(20,17),(20,18),(21,9),(21,26),(22,14),(22,18),(23,13),(23,17),(24,8),(24,22),(25,20),(25,22),(26,12),(26,23),(27,9),(27,24),(27,25)],28) [3,6,1,7,8,9,10,5,4,2]=>010000111=>([(0,6),(0,7),(1,2),(1,28),(2,9),(3,5),(3,24),(3,27),(4,30),(4,31),(5,4),(5,29),(5,32),(6,3),(6,23),(6,33),(7,1),(7,23),(7,33),(9,17),(10,14),(11,18),(12,19),(13,16),(14,13),(15,12),(16,11),(17,15),(18,8),(19,8),(20,18),(20,19),(21,12),(21,20),(22,11),(22,20),(23,10),(23,27),(24,25),(24,29),(25,17),(25,26),(26,15),(26,21),(27,14),(27,32),(28,9),(28,25),(29,26),(29,30),(30,21),(30,22),(31,16),(31,22),(32,13),(32,31),(33,10),(33,24),(33,28)],34) [5,2,6,7,8,9,3,1,4]=>10000110=>([(0,5),(0,6),(1,4),(1,16),(1,26),(2,17),(2,25),(3,10),(3,22),(4,3),(4,8),(4,18),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,10),(9,11),(10,13),(11,12),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,22),(18,23),(19,11),(19,23),(20,25),(20,26),(21,16),(21,17),(22,13),(22,24),(23,12),(23,24),(24,14),(24,15),(25,9),(25,19),(26,18),(26,19)],27) [6,1,3,7,8,9,4,5,2]=>10000101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,16),(2,22),(3,2),(3,15),(3,23),(4,24),(4,25),(5,1),(5,24),(5,25),(7,14),(8,10),(9,15),(10,11),(11,12),(12,13),(13,6),(14,6),(15,16),(16,7),(17,21),(17,23),(18,10),(18,21),(19,12),(19,20),(20,13),(20,14),(21,11),(21,19),(22,7),(22,20),(23,19),(23,22),(24,8),(24,9),(24,18),(25,8),(25,17),(25,18)],26) [5,1,6,7,8,9,10,4,3,2]=>100000111=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [1,2,6,7,8,9,4,3,5]=>00000110=>([(0,6),(0,7),(1,4),(1,17),(2,16),(3,2),(3,23),(4,3),(4,24),(5,9),(5,18),(6,1),(6,15),(6,22),(7,5),(7,15),(7,22),(9,11),(10,12),(11,10),(12,13),(13,8),(14,8),(15,9),(16,14),(17,21),(17,24),(18,11),(18,21),(19,12),(19,20),(20,13),(20,14),(21,10),(21,19),(22,17),(22,18),(23,16),(23,20),(24,19),(24,23)],25) [1,3,8,6,7,4,5,2]=>0010101=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [2,6,5,3,7,1,8,4]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,1,3,6,4,8,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,2,5,4,1,7,3,6]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [8,1,7,6,4,2,3,5]=>1011100=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [1,8,6,3,7,4,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,7,3,4,2,8,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,3,4,2,7,6,1]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [7,6,4,2,3,8,5,1]=>1110011=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [3,5,6,8,2,4,7,1]=>0001001=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [4,8,7,3,2,5,6,1]=>0111001=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [3,7,4,2,6,8,5,1]=>0110011=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,4,8,7,3,2,5,1]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [5,6,2,8,7,4,3,1]=>0101111=>([(0,4),(0,5),(1,3),(1,14),(2,12),(3,2),(3,18),(4,17),(4,19),(5,1),(5,17),(5,19),(7,8),(8,9),(9,10),(10,6),(11,6),(12,11),(13,8),(13,16),(14,16),(14,18),(15,10),(15,11),(16,9),(16,15),(17,7),(17,13),(18,12),(18,15),(19,7),(19,13),(19,14)],20) [6,2,8,3,7,4,5,1]=>1010101=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [3,7,5,6,4,2,8,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,2,3,8,6,1,4,7]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,3,8,5,6,2,7]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,8,2,6,4,3,5,1]=>0101101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,5,8,7,2,3,6,1]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [7,8,6,1,4,2,5,3]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [6,10,5,1,2,3,4,7,8,9]=>011000000=>([(0,7),(0,8),(1,5),(1,21),(2,18),(3,4),(3,27),(4,2),(4,28),(5,3),(5,26),(6,10),(6,24),(7,1),(7,17),(7,25),(8,6),(8,17),(8,25),(10,14),(11,16),(12,13),(13,11),(14,12),(15,9),(16,9),(17,10),(18,15),(19,15),(19,16),(20,11),(20,19),(21,22),(21,26),(22,12),(22,23),(23,13),(23,20),(24,14),(24,22),(25,21),(25,24),(26,23),(26,27),(27,20),(27,28),(28,18),(28,19)],29) [10,5,4,1,2,3,6,7,8,9]=>111000000=>([(0,8),(0,9),(1,7),(1,21),(2,4),(2,22),(3,17),(4,16),(5,6),(5,26),(6,3),(6,27),(7,5),(7,25),(8,1),(8,23),(9,2),(9,23),(11,13),(12,15),(13,12),(14,10),(15,10),(16,11),(17,14),(18,11),(18,20),(19,14),(19,15),(20,13),(20,24),(21,18),(21,25),(22,16),(22,18),(23,21),(23,22),(24,12),(24,19),(25,20),(25,26),(26,24),(26,27),(27,17),(27,19)],28) [8,3,6,5,2,7,1,4]=>1011010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [5,1,3,6,4,2,7,8]=>1001100=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [6,1,2,4,7,5,3,8]=>1000110=>([(0,4),(0,5),(1,13),(1,20),(2,3),(2,14),(2,21),(3,8),(3,16),(4,1),(4,17),(4,18),(5,2),(5,17),(5,18),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,19),(16,10),(16,19),(17,20),(17,21),(18,13),(18,14),(19,11),(19,12),(20,7),(20,15),(21,15),(21,16)],22) [8,3,1,4,6,7,2,5]=>1100010=>([(0,4),(0,5),(1,14),(2,3),(2,19),(2,20),(3,15),(3,16),(4,1),(4,17),(4,21),(5,2),(5,17),(5,21),(7,10),(8,9),(9,12),(10,13),(11,7),(12,6),(13,6),(14,8),(15,10),(15,18),(16,9),(16,18),(17,11),(17,20),(18,12),(18,13),(19,8),(19,16),(20,7),(20,15),(21,11),(21,14),(21,19)],22) [7,8,5,1,2,6,3,4]=>0110010=>([(0,3),(0,4),(1,17),(1,19),(2,13),(2,18),(3,1),(3,20),(3,21),(4,2),(4,20),(4,21),(6,9),(7,10),(8,6),(9,11),(10,12),(11,5),(12,5),(13,7),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,6),(17,14),(18,7),(18,15),(19,14),(19,15),(20,8),(20,18),(20,19),(21,8),(21,13),(21,17)],22) [6,4,5,1,8,7,3,2]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [8,6,2,1,7,3,5,4]=>1110101=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [9,3,4,5,6,8,7,2,1]=>10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [9,4,3,5,6,7,8,2,1]=>11000011=>([(0,5),(0,6),(1,4),(1,25),(1,26),(2,16),(2,17),(3,22),(3,23),(4,3),(4,18),(4,19),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,11),(9,10),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,9),(17,8),(18,10),(18,22),(19,11),(19,23),(20,16),(20,25),(21,17),(21,26),(22,12),(22,24),(23,13),(23,24),(24,14),(24,15),(25,9),(25,18),(26,8),(26,19)],27) [10,9,3,4,5,6,8,7,2,1]=>110000111=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34) [9,8,3,4,5,7,6,2,1]=>11000111=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28) [9,8,4,3,5,6,7,2,1]=>11100011=>([(0,5),(0,6),(1,15),(2,4),(2,25),(2,26),(3,1),(3,16),(3,27),(4,19),(4,20),(5,2),(5,21),(5,22),(6,3),(6,21),(6,22),(8,11),(9,12),(10,13),(11,14),(12,10),(13,7),(14,7),(15,8),(16,9),(17,13),(17,14),(18,8),(18,24),(19,23),(19,24),(20,12),(20,23),(21,26),(21,27),(22,16),(22,25),(23,10),(23,17),(24,11),(24,17),(25,9),(25,20),(26,18),(26,19),(27,15),(27,18)],28) [10,9,4,3,5,6,7,8,2,1]=>111000011=>([(0,6),(0,7),(1,18),(2,4),(2,31),(2,32),(3,1),(3,19),(3,33),(4,5),(4,25),(4,30),(5,20),(5,29),(6,2),(6,26),(6,27),(7,3),(7,26),(7,27),(9,15),(10,13),(11,16),(12,17),(13,14),(14,11),(15,12),(16,8),(17,8),(18,9),(19,10),(20,21),(20,22),(21,12),(21,23),(22,11),(22,23),(23,16),(23,17),(24,9),(24,28),(25,20),(25,28),(26,32),(26,33),(27,19),(27,31),(28,15),(28,21),(29,14),(29,22),(30,13),(30,29),(31,10),(31,30),(32,24),(32,25),(33,18),(33,24)],34) [10,3,4,5,6,7,9,8,2,1]=>100000111=>([(0,7),(0,8),(1,2),(1,28),(2,10),(3,6),(3,12),(3,27),(4,20),(4,29),(5,4),(5,21),(5,30),(6,5),(6,19),(6,31),(7,3),(7,13),(7,22),(8,1),(8,13),(8,22),(10,14),(11,18),(12,19),(13,12),(14,15),(15,16),(16,17),(17,9),(18,9),(19,21),(20,11),(21,20),(22,27),(22,28),(23,17),(23,18),(24,16),(24,23),(25,15),(25,24),(26,14),(26,25),(27,26),(27,31),(28,10),(28,26),(29,11),(29,23),(30,24),(30,29),(31,25),(31,30)],32) [9,3,4,5,6,2,8,7,1]=>10001011=>([(0,4),(0,5),(1,15),(2,3),(2,16),(2,25),(3,7),(3,17),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,9),(8,10),(9,11),(10,13),(11,14),(12,8),(13,6),(14,6),(15,12),(16,7),(17,9),(17,23),(18,12),(18,24),(19,20),(19,24),(20,22),(20,23),(21,13),(21,14),(22,10),(22,21),(23,11),(23,21),(24,8),(24,22),(25,17),(25,20),(26,16),(26,18),(26,19),(27,15),(27,18),(27,19),(27,25)],28) [9,2,4,5,6,8,7,3,1]=>10000111=>([(0,6),(0,7),(1,2),(1,24),(2,9),(3,5),(3,11),(3,23),(4,18),(4,25),(5,4),(5,17),(5,26),(6,3),(6,12),(6,19),(7,1),(7,12),(7,19),(9,13),(10,16),(11,17),(12,11),(13,14),(14,15),(15,8),(16,8),(17,18),(18,10),(19,23),(19,24),(20,15),(20,16),(21,14),(21,20),(22,13),(22,21),(23,22),(23,26),(24,9),(24,22),(25,10),(25,20),(26,21),(26,25)],27) [9,4,3,5,6,7,2,8,1]=>11000101=>([(0,4),(0,5),(1,16),(2,3),(2,24),(2,25),(3,17),(3,18),(4,1),(4,26),(4,27),(5,2),(5,26),(5,27),(7,11),(8,9),(9,10),(10,12),(11,13),(12,15),(13,14),(14,6),(15,6),(16,7),(17,21),(17,22),(18,11),(18,21),(19,9),(19,20),(20,10),(20,22),(21,13),(21,23),(22,12),(22,23),(23,14),(23,15),(24,7),(24,18),(25,17),(25,20),(26,8),(26,19),(26,25),(27,8),(27,16),(27,19),(27,24)],28) [9,3,2,5,6,7,8,4,1]=>11000011=>([(0,5),(0,6),(1,4),(1,25),(1,26),(2,16),(2,17),(3,22),(3,23),(4,3),(4,18),(4,19),(5,1),(5,20),(5,21),(6,2),(6,20),(6,21),(8,11),(9,10),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,9),(17,8),(18,10),(18,22),(19,11),(19,23),(20,16),(20,25),(21,17),(21,26),(22,12),(22,24),(23,13),(23,24),(24,14),(24,15),(25,9),(25,18),(26,8),(26,19)],27) [10,4,3,5,6,7,8,9,2,1]=>110000011=>([(0,6),(0,7),(1,11),(1,12),(2,4),(2,21),(2,22),(3,28),(3,29),(4,5),(4,26),(4,27),(5,3),(5,30),(5,31),(6,2),(6,23),(6,24),(7,1),(7,23),(7,24),(9,16),(10,15),(11,10),(12,9),(13,17),(14,18),(15,13),(16,14),(17,19),(18,20),(19,8),(20,8),(21,10),(21,26),(22,9),(22,27),(23,11),(23,21),(24,12),(24,22),(25,19),(25,20),(26,15),(26,30),(27,16),(27,31),(28,17),(28,25),(29,18),(29,25),(30,13),(30,28),(31,14),(31,29)],32) [7,8,6,1,4,3,5,2]=>0110101=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [4,6,3,5,7,2,8,1,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [5,6,3,4,7,2,8,1,9]=>01001010=>([(0,2),(0,3),(1,17),(1,18),(2,22),(2,23),(3,1),(3,22),(3,23),(5,9),(6,10),(7,11),(8,12),(9,7),(10,8),(11,4),(12,4),(13,9),(13,20),(14,11),(14,12),(15,20),(15,21),(16,10),(16,21),(17,13),(17,15),(18,5),(18,13),(19,6),(19,16),(20,7),(20,14),(21,8),(21,14),(22,18),(22,19),(22,24),(23,17),(23,19),(23,24),(24,5),(24,6),(24,15),(24,16)],25) [4,3,6,2,5,7,1,8]=>1010010=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [1,5,7,4,6,8,3,9,2]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [1,6,5,7,3,4,8,2]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,6,7,4,5,8,3,9,2]=>00100101=>([(0,2),(0,3),(1,13),(1,14),(2,22),(2,23),(3,1),(3,22),(3,23),(5,6),(6,7),(7,8),(8,11),(9,12),(10,9),(11,4),(12,4),(13,18),(13,21),(14,15),(14,18),(15,10),(15,19),(16,8),(16,17),(17,11),(17,12),(18,16),(18,19),(19,9),(19,17),(20,6),(20,15),(20,21),(21,7),(21,10),(21,16),(22,5),(22,13),(22,20),(23,5),(23,14),(23,20)],24) [1,7,5,6,8,4,9,3,10,2]=>010010101=>([(0,2),(0,3),(1,20),(1,21),(2,27),(2,28),(3,1),(3,27),(3,28),(5,11),(6,9),(7,12),(8,13),(9,10),(10,7),(11,8),(12,4),(13,4),(14,8),(14,16),(15,7),(15,16),(16,12),(16,13),(17,14),(17,15),(18,17),(18,24),(19,5),(19,25),(20,18),(20,23),(21,6),(21,23),(22,19),(22,26),(23,9),(23,24),(24,10),(24,15),(25,11),(25,14),(26,5),(26,17),(26,25),(27,20),(27,22),(27,29),(28,21),(28,22),(28,29),(29,6),(29,18),(29,19),(29,26)],30) [1,2,3,4,8,5,9,6,7]=>00001010=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [1,2,3,4,5,8,6,9,7,10]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [1,2,3,7,4,5,8,6,9]=>00010010=>([(0,3),(0,4),(1,12),(2,1),(2,18),(2,22),(3,20),(3,21),(4,2),(4,20),(4,21),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,7),(13,14),(13,15),(14,9),(14,16),(15,8),(15,16),(16,10),(16,11),(17,13),(17,23),(18,13),(18,19),(19,6),(19,15),(20,17),(20,18),(21,17),(21,22),(22,12),(22,19),(22,23),(23,6),(23,7),(23,14)],24) [1,2,3,4,8,6,5,7,9]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [1,2,3,4,9,7,5,6,8]=>00001100=>([(0,5),(0,6),(1,14),(2,1),(2,20),(3,24),(3,26),(4,2),(4,15),(4,25),(5,3),(5,21),(5,22),(6,4),(6,21),(6,22),(8,13),(9,10),(10,11),(11,12),(12,7),(13,7),(14,8),(15,9),(16,11),(16,17),(17,12),(17,13),(18,10),(18,16),(19,16),(19,23),(20,14),(20,23),(21,24),(21,25),(22,15),(22,26),(23,8),(23,17),(24,18),(24,19),(25,19),(25,20),(26,9),(26,18)],27) [1,2,3,4,5,9,6,10,7,8]=>000001010=>([(0,5),(0,6),(1,4),(1,21),(2,15),(3,2),(3,27),(4,3),(4,26),(5,25),(5,29),(6,1),(6,25),(6,29),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,10),(16,18),(17,8),(17,18),(18,13),(18,14),(19,9),(19,24),(20,16),(20,17),(21,22),(21,26),(22,20),(22,23),(23,11),(23,16),(24,12),(24,23),(25,19),(25,28),(26,20),(26,27),(27,15),(27,17),(28,9),(28,22),(28,24),(29,19),(29,21),(29,28)],30) [8,2,6,5,1,7,4,3]=>1011011=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,13),(10,15),(11,14),(11,15),(12,13),(12,14),(13,5),(13,9),(14,6),(14,9),(15,5),(15,6),(16,10),(16,12),(17,10),(17,11)],18) [7,6,4,1,2,5,8,3]=>1110001=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22) [2,6,5,4,8,7,1,3]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [5,6,7,1,3,2,4,8]=>0010100=>([(0,2),(0,3),(1,7),(1,8),(2,17),(2,18),(3,1),(3,17),(3,18),(5,10),(6,9),(7,6),(8,5),(9,11),(10,12),(11,4),(12,4),(13,14),(13,15),(14,9),(14,16),(15,10),(15,16),(16,11),(16,12),(17,7),(17,13),(17,19),(18,8),(18,13),(18,19),(19,5),(19,6),(19,14),(19,15)],20) [7,1,8,4,3,2,6,5]=>1011101=>([(0,3),(0,4),(1,2),(1,18),(1,19),(2,13),(2,14),(3,15),(3,16),(4,1),(4,15),(4,16),(6,9),(7,8),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,17),(15,18),(16,17),(16,19),(17,6),(17,7),(18,7),(18,13),(19,6),(19,14)],20) [2,1,4,9,3,5,6,7,8]=>10010000=>([(0,4),(0,5),(1,2),(1,21),(2,7),(3,1),(3,17),(3,24),(4,22),(4,23),(5,3),(5,22),(5,23),(7,10),(8,11),(9,12),(10,13),(11,9),(12,6),(13,6),(14,11),(14,19),(15,12),(15,13),(16,14),(16,18),(17,8),(17,14),(18,19),(18,20),(19,9),(19,15),(20,10),(20,15),(21,7),(21,20),(22,16),(22,17),(23,16),(23,24),(24,8),(24,18),(24,21)],25) [3,7,1,2,4,5,6,9,8]=>01000001=>([(0,5),(0,6),(1,4),(1,11),(1,20),(2,16),(2,22),(3,2),(3,17),(3,23),(4,3),(4,15),(4,21),(5,18),(5,19),(6,1),(6,18),(6,19),(8,9),(9,13),(10,8),(11,15),(12,10),(13,7),(14,7),(15,17),(16,14),(17,16),(18,11),(18,12),(19,12),(19,20),(20,10),(20,21),(21,8),(21,23),(22,13),(22,14),(23,9),(23,22)],24) [3,1,2,6,9,4,5,7,8]=>10001000=>([(0,3),(0,4),(1,2),(1,22),(1,23),(2,20),(2,21),(3,17),(3,18),(4,1),(4,17),(4,18),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,16),(12,19),(13,8),(13,15),(14,9),(14,15),(15,10),(15,11),(16,13),(16,14),(17,12),(17,22),(18,12),(18,23),(19,7),(19,14),(20,6),(20,13),(21,6),(21,7),(22,16),(22,20),(23,19),(23,21)],24) [4,6,1,2,3,5,9,7,8]=>01000010=>([(0,4),(0,5),(1,3),(1,17),(1,18),(2,23),(2,24),(3,2),(3,21),(3,22),(4,19),(4,20),(5,1),(5,19),(5,20),(7,12),(8,11),(9,13),(10,14),(11,9),(12,10),(13,6),(14,6),(15,7),(15,8),(16,13),(16,14),(17,8),(17,21),(18,7),(18,22),(19,15),(19,17),(20,15),(20,18),(21,11),(21,23),(22,12),(22,24),(23,9),(23,16),(24,10),(24,16)],25) [1,8,5,2,7,6,4,3]=>0110111=>([(0,3),(0,4),(1,11),(2,1),(2,15),(2,19),(3,17),(3,18),(4,2),(4,17),(4,18),(6,10),(7,8),(8,9),(9,5),(10,5),(11,6),(12,8),(12,13),(13,9),(13,10),(14,12),(14,16),(15,7),(15,12),(16,6),(16,13),(17,14),(17,15),(18,14),(18,19),(19,7),(19,11),(19,16)],20) [1,7,6,8,2,5,4,3]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [1,7,8,6,2,5,4,3]=>0011011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [4,6,5,7,1,8,2,3]=>0101010=>([(0,1),(0,2),(1,12),(1,13),(2,12),(2,13),(4,3),(5,3),(6,10),(6,11),(7,10),(7,11),(8,6),(8,7),(9,6),(9,7),(10,4),(10,5),(11,4),(11,5),(12,8),(12,9),(13,8),(13,9)],14) [7,5,3,6,8,4,2,1]=>1100111=>([(0,4),(0,5),(1,12),(2,19),(2,21),(3,1),(3,13),(3,20),(4,2),(4,16),(4,17),(5,3),(5,16),(5,17),(7,11),(8,9),(9,10),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,9),(15,14),(16,19),(16,20),(17,13),(17,21),(18,7),(18,14),(19,15),(19,18),(20,12),(20,18),(21,8),(21,15)],22) [7,2,5,6,4,8,3,1]=>1001011=>([(0,3),(0,4),(1,13),(2,6),(2,14),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,7),(14,18),(15,10),(15,17),(16,17),(16,18),(17,9),(17,19),(18,8),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,13),(21,14),(21,15),(21,16)],22) [7,4,6,2,8,5,3,1]=>1010111=>([(0,3),(0,4),(1,2),(1,17),(2,6),(3,16),(3,19),(4,1),(4,16),(4,19),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,9),(12,14),(13,8),(13,15),(14,7),(14,15),(15,10),(15,11),(16,12),(16,18),(17,6),(17,13),(18,9),(18,13),(18,14),(19,12),(19,17),(19,18)],20) [9,7,6,5,4,3,8,2,1]=>11111011=>([(0,5),(0,6),(1,3),(1,17),(2,14),(3,2),(3,23),(4,1),(4,8),(4,18),(5,21),(5,22),(6,4),(6,21),(6,22),(8,11),(9,13),(10,9),(11,10),(12,7),(13,7),(14,12),(15,9),(15,16),(16,12),(16,13),(17,15),(17,23),(18,17),(18,19),(19,10),(19,15),(20,11),(20,19),(21,18),(21,20),(22,8),(22,20),(23,14),(23,16)],24) [9,8,6,5,4,7,3,2,1]=>11110111=>([(0,4),(0,5),(1,13),(2,3),(2,23),(2,24),(3,1),(3,8),(3,19),(4,20),(4,21),(5,2),(5,20),(5,21),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,17),(15,16),(15,18),(16,9),(16,14),(17,11),(17,12),(18,14),(18,22),(19,13),(19,22),(20,15),(20,24),(21,15),(21,23),(22,7),(22,17),(23,18),(23,19),(24,8),(24,16)],25) [5,4,3,2,1,9,7,8,6]=>11110101=>([(0,4),(0,5),(1,3),(1,16),(2,13),(3,2),(3,22),(4,21),(4,24),(5,1),(5,21),(5,24),(7,12),(8,9),(9,10),(10,11),(11,6),(12,6),(13,7),(14,10),(14,15),(15,11),(15,12),(16,17),(16,22),(17,14),(17,20),(18,9),(18,14),(19,8),(19,18),(20,7),(20,15),(21,19),(21,23),(22,13),(22,20),(23,8),(23,17),(23,18),(24,16),(24,19),(24,23)],25) [10,8,7,6,5,4,3,9,2,1]=>111111011=>([(0,6),(0,7),(1,4),(1,19),(2,16),(3,2),(3,27),(4,3),(4,26),(5,1),(5,9),(5,20),(6,24),(6,25),(7,5),(7,24),(7,25),(9,13),(10,15),(11,12),(12,10),(13,11),(14,8),(15,8),(16,14),(17,14),(17,15),(18,10),(18,17),(19,22),(19,26),(20,19),(20,21),(21,11),(21,22),(22,12),(22,18),(23,13),(23,21),(24,20),(24,23),(25,9),(25,23),(26,18),(26,27),(27,16),(27,17)],28) [10,9,7,6,5,4,8,3,2,1]=>111110111=>([(0,5),(0,6),(1,15),(2,1),(2,23),(3,4),(3,28),(3,29),(4,2),(4,9),(4,22),(5,24),(5,25),(6,3),(6,24),(6,25),(8,13),(9,12),(10,14),(11,10),(12,11),(13,7),(14,7),(15,8),(16,18),(16,19),(17,21),(17,27),(18,10),(18,20),(19,8),(19,20),(20,13),(20,14),(21,16),(21,26),(22,16),(22,23),(23,15),(23,19),(24,17),(24,28),(25,17),(25,29),(26,11),(26,18),(27,12),(27,26),(28,21),(28,22),(29,9),(29,27)],30) [1,6,3,4,2,5,8,7]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [1,5,7,6,2,3,8,4]=>0011001=>([(0,3),(0,4),(1,18),(1,20),(2,17),(2,19),(3,1),(3,15),(3,16),(4,2),(4,15),(4,16),(6,8),(7,9),(8,10),(9,11),(10,5),(11,5),(12,10),(12,11),(13,8),(13,12),(14,9),(14,12),(15,19),(15,20),(16,17),(16,18),(17,13),(17,14),(18,6),(18,13),(19,7),(19,14),(20,6),(20,7)],21) [1,4,3,7,6,2,5,8]=>0101100=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [1,3,7,4,6,8,5,2]=>0010011=>([(0,3),(0,4),(1,12),(2,14),(2,19),(3,2),(3,18),(3,20),(4,1),(4,18),(4,20),(6,8),(7,10),(8,11),(9,7),(10,5),(11,5),(12,6),(13,9),(13,16),(14,15),(14,16),(15,8),(15,17),(16,7),(16,17),(17,10),(17,11),(18,13),(18,14),(19,6),(19,9),(19,15),(20,12),(20,13),(20,19)],21) [3,7,4,6,8,1,5,2]=>0100101=>([(0,2),(0,3),(1,12),(1,13),(2,18),(2,19),(3,1),(3,18),(3,19),(5,8),(6,5),(7,10),(8,11),(9,7),(10,4),(11,4),(12,9),(12,15),(13,14),(13,15),(14,8),(14,16),(15,7),(15,16),(16,10),(16,11),(17,5),(17,9),(17,14),(18,6),(18,12),(18,17),(19,6),(19,13),(19,17)],20) [4,8,3,1,7,6,2,5]=>0110110=>([(0,2),(0,3),(1,11),(1,12),(2,16),(2,17),(3,1),(3,16),(3,17),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,13),(10,14),(11,13),(11,15),(12,14),(12,15),(13,6),(13,9),(14,5),(14,9),(15,5),(15,6),(16,10),(16,11),(17,10),(17,12)],18) [2,6,7,5,3,4,1,8]=>0011010=>([(0,3),(0,4),(1,13),(2,14),(2,15),(3,2),(3,20),(3,21),(4,1),(4,20),(4,21),(6,7),(7,8),(8,11),(9,12),(10,9),(11,5),(12,5),(13,10),(14,10),(14,18),(15,17),(15,18),(16,7),(16,17),(17,8),(17,19),(18,9),(18,19),(19,11),(19,12),(20,6),(20,15),(20,16),(21,6),(21,13),(21,14),(21,16)],22) [2,4,1,7,5,6,8,3]=>0101001=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [7,2,4,8,3,5,1,6]=>1001010=>([(0,2),(0,3),(1,5),(1,12),(2,18),(2,19),(3,1),(3,18),(3,19),(5,6),(6,7),(7,10),(8,11),(9,8),(10,4),(11,4),(12,6),(12,14),(13,9),(13,15),(14,7),(14,16),(15,8),(15,16),(16,10),(16,11),(17,9),(17,14),(17,15),(18,5),(18,13),(18,17),(19,12),(19,13),(19,17)],20) [5,6,1,4,3,8,7,2]=>0101011=>([(0,2),(0,3),(1,10),(2,14),(2,17),(3,1),(3,14),(3,17),(5,8),(6,5),(7,9),(8,4),(9,4),(10,6),(11,13),(11,16),(12,8),(12,9),(13,7),(13,12),(14,11),(14,15),(15,6),(15,13),(15,16),(16,5),(16,7),(16,12),(17,10),(17,11),(17,15)],18) [5,8,6,4,3,1,7,2]=>0111101=>([(0,4),(0,5),(1,3),(1,9),(1,17),(2,14),(2,19),(3,2),(3,13),(3,18),(4,15),(4,16),(5,1),(5,15),(5,16),(7,11),(8,7),(9,13),(10,8),(11,6),(12,6),(13,14),(14,12),(15,9),(15,10),(16,10),(16,17),(17,8),(17,18),(18,7),(18,19),(19,11),(19,12)],20) [4,1,3,7,8,6,5,2]=>1000111=>([(0,5),(0,6),(1,2),(1,20),(2,8),(3,4),(3,15),(3,21),(4,9),(4,17),(5,1),(5,10),(5,18),(6,3),(6,10),(6,18),(8,11),(9,12),(10,15),(11,13),(12,14),(13,7),(14,7),(15,9),(16,11),(16,19),(17,12),(17,19),(18,20),(18,21),(19,13),(19,14),(20,8),(20,16),(21,16),(21,17)],22)
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation π of n letters and each 1≤i≤n−1 such that π(i)>π(i+1) we set wi=1, otherwise wi=0.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
Map
poset of factors
Description
The poset of factors of a binary word.
This is the partial order on the set of distinct factors of a binary word, such that u<v if and only if u is a factor of v.